Denich, Eleonora Error estimates for a Gaussian rule involving Bessel functions. (English) Zbl 07738684 J. Comput. Appl. Math. 436, Article ID 115448, 12 p. (2024). MSC: 33C10 33F05 41A55 65D32 65D20 PDFBibTeX XMLCite \textit{E. Denich}, J. Comput. Appl. Math. 436, Article ID 115448, 12 p. (2024; Zbl 07738684) Full Text: DOI arXiv
Gil, Azmparo; Segura, Javier; Temme, Nico M. McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions. arXiv:2402.14537 Preprint, arXiv:2402.14537 [math.CA] (2024). MSC: 41A60 33C15 65D20 BibTeX Cite \textit{A. Gil} et al., ``McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions'', Preprint, arXiv:2402.14537 [math.CA] (2024) Full Text: arXiv OA License
Filonov, Nikolay; Levitin, Michael; Polterovich, Iosif; Sher, David A. Uniform enclosures for the phase and zeros of Bessel functions and their derivatives. arXiv:2402.06956 Preprint, arXiv:2402.06956 [math.CA] (2024). MSC: 33C10 33F05 34B30 65D20 BibTeX Cite \textit{N. Filonov} et al., ``Uniform enclosures for the phase and zeros of Bessel functions and their derivatives'', Preprint, arXiv:2402.06956 [math.CA] (2024) Full Text: arXiv OA License
Miyamoto, Roland Polynomial parametrisation of the canonical iterates to the solution of \(-\gamma g'= g^{-1}\). arXiv:2402.06618 Preprint, arXiv:2402.06618 [math.CO] (2024). MSC: 65D20 11B83 11Y55 26A06 47H10 33E99 BibTeX Cite \textit{R. Miyamoto}, ``Polynomial parametrisation of the canonical iterates to the solution of $-\gamma g'= g^{-1}$'', Preprint, arXiv:2402.06618 [math.CO] (2024) Full Text: arXiv OA License
Castellares, Fredy; Lemonte, Artur J. On numerical problems in computing life annuities based on the Makeham-Beard law. (English) Zbl 07766462 Math. Slovaca 73, No. 5, 1317-1324 (2023). MSC: 33C65 33F05 33F10 65D20 PDFBibTeX XMLCite \textit{F. Castellares} and \textit{A. J. Lemonte}, Math. Slovaca 73, No. 5, 1317--1324 (2023; Zbl 07766462) Full Text: DOI
Campbell, John M. On Guillera’s \({}_7F_6( \frac{27}{64})\) -series for \(1/\pi^2\). (English) Zbl 07764675 Bull. Aust. Math. Soc. 108, No. 3, 464-471 (2023). MSC: 33F10 33F05 65D20 11Y60 PDFBibTeX XMLCite \textit{J. M. Campbell}, Bull. Aust. Math. Soc. 108, No. 3, 464--471 (2023; Zbl 07764675) Full Text: DOI
Gil, Amparo; Ruiz-Antolín, Diego; Segura, Javier; Temme, Nico M. Computation of the confluent hypergeometric function \(U(a,b,x)\) and its derivative for positive arguments. (English) Zbl 1523.65029 Numer. Algorithms 94, No. 2, 669-679 (2023). MSC: 65D20 33B15 33C15 PDFBibTeX XMLCite \textit{A. Gil} et al., Numer. Algorithms 94, No. 2, 669--679 (2023; Zbl 1523.65029) Full Text: DOI
Nebioglu, Burak; Iliev, Alexander I. Higher order orthogonal polynomials as activation functions in artificial neural networks. (English) Zbl 07732163 Serdica J. Comput. 17, No. 1, 1-16 (2023). MSC: 68T07 33C45 65D20 PDFBibTeX XMLCite \textit{B. Nebioglu} and \textit{A. I. Iliev}, Serdica J. Comput. 17, No. 1, 1--16 (2023; Zbl 07732163) Full Text: DOI
Ananthanarayan, B.; Bera, Souvik; Friot, S.; Marichev, O.; Pathak, Tanay On the evaluation of the Appell \(F_2\) double hypergeometric function. (English) Zbl 07700411 Comput. Phys. Commun. 284, Article ID 108589, 28 p. (2023). MSC: 33F10 33F05 33C05 33C65 65D20 PDFBibTeX XMLCite \textit{B. Ananthanarayan} et al., Comput. Phys. Commun. 284, Article ID 108589, 28 p. (2023; Zbl 07700411) Full Text: DOI arXiv
Languasco, Alessandro A unified strategy to compute some special functions of number-theoretic interest. (English) Zbl 07662018 J. Number Theory 247, 118-161 (2023). MSC: 33F10 33F05 33B15 40A25 65D20 65B15 11M35 11M41 PDFBibTeX XMLCite \textit{A. Languasco}, J. Number Theory 247, 118--161 (2023; Zbl 07662018) Full Text: DOI arXiv
Rutka, Przemysław; Smarzewski, Ryszard The electrostatic equilibrium problem for classical discrete orthogonal polynomials. (English) Zbl 1505.65146 Math. Comput. 92, No. 341, 1331-1348 (2023). MSC: 65D20 41A10 33D45 PDFBibTeX XMLCite \textit{P. Rutka} and \textit{R. Smarzewski}, Math. Comput. 92, No. 341, 1331--1348 (2023; Zbl 1505.65146) Full Text: DOI
Jaipong, Pradthana; Lang, Mong Lung; Tan, Ser Peow; Tee, Ming Hong Dilogarithm identities after Bridgeman. (English) Zbl 1510.11023 Math. Proc. Camb. Philos. Soc. 174, No. 1, 1-23 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11A55 11B39 11G55 11Y70 30F60 33B30 PDFBibTeX XMLCite \textit{P. Jaipong} et al., Math. Proc. Camb. Philos. Soc. 174, No. 1, 1--23 (2023; Zbl 1510.11023) Full Text: DOI arXiv
Xu, Yuan Orthogonal polynomials on domains of revolution. arXiv:2311.15554 Preprint, arXiv:2311.15554 [math.CA] (2023). MSC: 33C45 42C05 42C10 65D15 65D20 BibTeX Cite \textit{Y. Xu}, ``Orthogonal polynomials on domains of revolution'', Preprint, arXiv:2311.15554 [math.CA] (2023) Full Text: arXiv OA License
Farashahi, Arash Ghaani; Chirikjian, Gregory S. Asymptotically Steerable Finite Fourier-Bessel Transforms and Closure under Convolution. arXiv:2311.03772 Preprint, arXiv:2311.03772 [math.NA] (2023). MSC: 42C10 65R10 33C10 42C05 65D20 65D30 65T40 65T50 BibTeX Cite \textit{A. G. Farashahi} and \textit{G. S. Chirikjian}, ``Asymptotically Steerable Finite Fourier-Bessel Transforms and Closure under Convolution'', Preprint, arXiv:2311.03772 [math.NA] (2023) Full Text: arXiv OA License
Voigt, Alexander An algorithm to approximate the real trilogarithm for a real argument. arXiv:2308.11619 Preprint, arXiv:2308.11619 [cs.MS] (2023). MSC: 33-04 33E20 33F05 65D20 BibTeX Cite \textit{A. Voigt}, ``An algorithm to approximate the real trilogarithm for a real argument'', Preprint, arXiv:2308.11619 [cs.MS] (2023) Full Text: arXiv OA License
Schmid, Harald On the connection coefficients for linear differential systems with applications to the spheroidal and ellipsoidal wave equation. arXiv:2308.06511 Preprint, arXiv:2308.06511 [math.CA] (2023). MSC: 33E10 33F05 34L16 65D20 BibTeX Cite \textit{H. Schmid}, ``On the connection coefficients for linear differential systems with applications to the spheroidal and ellipsoidal wave equation'', Preprint, arXiv:2308.06511 [math.CA] (2023) Full Text: arXiv OA License
Slevinsky, Richard Mikael Fast and stable rational approximation of generalized hypergeometric functions. arXiv:2307.06221 Preprint, arXiv:2307.06221 [math.NA] (2023). MSC: 33C20 33F05 41A20 65D20 BibTeX Cite \textit{R. M. Slevinsky}, ``Fast and stable rational approximation of generalized hypergeometric functions'', Preprint, arXiv:2307.06221 [math.NA] (2023) Full Text: arXiv OA License
Prodanov, Dimiter Computation of the Wright function from its integral representation. arXiv:2306.11381 Preprint, arXiv:2306.11381 [math.NA] (2023). MSC: 65D20 33C10 BibTeX Cite \textit{D. Prodanov}, ``Computation of the Wright function from its integral representation'', Preprint, arXiv:2306.11381 [math.NA] (2023) Full Text: arXiv OA License
Karatsuba, E. A. A fast algorithm for computing the digamma function. (English. Russian original) Zbl 1528.65017 Autom. Remote Control 83, No. 10, 1576-1589 (2022); translation from Avtom. Telemekh. 2022, No. 10, 105-121 (2022). MSC: 65D20 33F05 33F10 33B15 PDFBibTeX XMLCite \textit{E. A. Karatsuba}, Autom. Remote Control 83, No. 10, 1576--1589 (2022; Zbl 1528.65017); translation from Avtom. Telemekh. 2022, No. 10, 105--121 (2022) Full Text: DOI
Liang, Yingjie; Yu, Yue; Magin, Richard L. Computation of the inverse Mittag-Leffler function and its application to modeling ultraslow dynamics. (English) Zbl 1503.33017 Fract. Calc. Appl. Anal. 25, No. 2, 439-452 (2022). MSC: 33E12 26A33 33F05 65D20 PDFBibTeX XMLCite \textit{Y. Liang} et al., Fract. Calc. Appl. Anal. 25, No. 2, 439--452 (2022; Zbl 1503.33017) Full Text: DOI
Aceto, Lidia; Durastante, Fabio Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. (English) Zbl 1508.65014 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181-2196 (2022). MSC: 65D20 65D30 44A10 26A33 33E12 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{F. Durastante}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181--2196 (2022; Zbl 1508.65014) Full Text: DOI arXiv
Logal, Michael; Moll, Victor H. A note on integration by parts. (English) Zbl 07590048 Sci., Ser. A, Math. Sci. (N.S.) 32, 139-140 (2022). MSC: 65-00 65A05 00A22 33-00 40-00 PDFBibTeX XMLCite \textit{M. Logal} and \textit{V. H. Moll}, Sci., Ser. A, Math. Sci. (N.S.) 32, 139--140 (2022; Zbl 07590048) Full Text: Link
Chen, Derek; Dunaisky, Tyler; McCurdy, Alexander R.; Moll, Victor H.; Chi Nguyen; Vaishavi, Sharma The integrals in Gradshteyn and Ryzhik. XXXII: Powers of trigonometric functions. (English) Zbl 07590045 Sci., Ser. A, Math. Sci. (N.S.) 32, 71-98 (2022). MSC: 65-00 65A05 00A22 33-00 40-00 PDFBibTeX XMLCite \textit{D. Chen} et al., Sci., Ser. A, Math. Sci. (N.S.) 32, 71--98 (2022; Zbl 07590045) Full Text: Link
Chen, Derek; Choudhry, Sheryar; Corcau, Adina-Raluca; Dunaisky, Tyler; Larson, Blaine; Leahy, Drew; Li, Xiang; Logal, Michael; McCurdy, Alexander R.; Miao, Qiusu; Mohapatra, Paramjyoti; Moll, Victor H.; Chi Nguyen; Peterson, Olivia; Ragunathan, Naveena; Sharma, Vaishavi; Sisler, Brandon; Rosalie, Tarsala; Hassan, Zayour Inequalities of Jensen’s type for K-bounded. The integrals in Gradshteyn and Ryzhik. XXXI: Forms containing binomials. (English) Zbl 07590044 Sci., Ser. A, Math. Sci. (N.S.) 32, 31-69 (2022). MSC: 65-00 00A22 33-00 40-00 65A05 PDFBibTeX XMLCite \textit{D. Chen} et al., Sci., Ser. A, Math. Sci. (N.S.) 32, 31--69 (2022; Zbl 07590044) Full Text: Link
Gil, A.; Segura, J.; Temme, N. M. A new asymptotic representation and inversion method for the Student’s \(t\) distribution. (English) Zbl 07566915 Integral Transforms Spec. Funct. 33, No. 8, 597-608 (2022). MSC: 65-XX 33B20 41A60 65D20 PDFBibTeX XMLCite \textit{A. Gil} et al., Integral Transforms Spec. Funct. 33, No. 8, 597--608 (2022; Zbl 07566915) Full Text: DOI arXiv
López, José L.; Pagola, Pedro J.; Palacios, Pablo New analytic representations of the hypergeometric functions \({}_{p+1}F_p\). (English) Zbl 1520.33001 Constr. Approx. 55, No. 3, 891-917 (2022). MSC: 33C05 41A20 41A58 65D20 PDFBibTeX XMLCite \textit{J. L. López} et al., Constr. Approx. 55, No. 3, 891--917 (2022; Zbl 1520.33001) Full Text: DOI
Kuznetsov, Alexey Computing the Barnes \(G\)-function and the gamma function in the entire complex plane. (English) Zbl 1524.33091 J. Comput. Appl. Math. 411, Article ID 114270, 11 p. (2022). MSC: 33F05 30E10 33B15 33E30 65D20 PDFBibTeX XMLCite \textit{A. Kuznetsov}, J. Comput. Appl. Math. 411, Article ID 114270, 11 p. (2022; Zbl 1524.33091) Full Text: DOI arXiv
Causley, Matthew F. The gamma function via interpolation. (English) Zbl 1491.65021 Numer. Algorithms 90, No. 2, 687-707 (2022). MSC: 65D20 33B15 PDFBibTeX XMLCite \textit{M. F. Causley}, Numer. Algorithms 90, No. 2, 687--707 (2022; Zbl 1491.65021) Full Text: DOI arXiv
Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Sobolev orthogonal polynomials: asymptotics and symbolic computation. (English) Zbl 1510.42036 East Asian J. Appl. Math. 12, No. 3, 535-563 (2022). MSC: 42C05 33F10 33C47 33C45 65D20 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} and \textit{J. J. Moreno-Balcázar}, East Asian J. Appl. Math. 12, No. 3, 535--563 (2022; Zbl 1510.42036) Full Text: DOI
Nahid, Tabinda; Ali, Mahvish Several characterizations of Bessel functions and their applications. (English) Zbl 1505.33003 Georgian Math. J. 29, No. 1, 83-93 (2022). MSC: 33C10 26B35 65D20 PDFBibTeX XMLCite \textit{T. Nahid} and \textit{M. Ali}, Georgian Math. J. 29, No. 1, 83--93 (2022; Zbl 1505.33003) Full Text: DOI
de la Calle Ysern, Bernardo; Spalević, Miodrag M. On the computation of Patterson-type quadrature rules. (English) Zbl 1489.65048 J. Comput. Appl. Math. 403, Article ID 113850, 15 p. (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D20 65D32 33C45 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{M. M. Spalević}, J. Comput. Appl. Math. 403, Article ID 113850, 15 p. (2022; Zbl 1489.65048) Full Text: DOI
Temme, Nico M. The leaky aquifer function revisited. arXiv:2208.12186 Preprint, arXiv:2208.12186 [math.CA] (2022). MSC: 33E20 41A60 65D20 BibTeX Cite \textit{N. M. Temme}, ``The leaky aquifer function revisited'', Preprint, arXiv:2208.12186 [math.CA] (2022) Full Text: arXiv OA License
Voigt, Alexander Comparison of methods for the calculation of the real dilogarithm regarding instruction-level parallelism. arXiv:2201.01678 Preprint, arXiv:2201.01678 [hep-ph] (2022). MSC: 33-04 33E20 33F05 65D20 BibTeX Cite \textit{A. Voigt}, ``Comparison of methods for the calculation of the real dilogarithm regarding instruction-level parallelism'', Preprint, arXiv:2201.01678 [hep-ph] (2022) Full Text: arXiv OA License
Kucukoglu, Irem Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials. (English) Zbl 1489.05005 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 1, 426-442 (2021). MSC: 05A15 11B83 33F05 65D20 11B37 11B73 05A19 PDFBibTeX XMLCite \textit{I. Kucukoglu}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 1, 426--442 (2021; Zbl 1489.05005) Full Text: DOI arXiv
Li, Long Double series expansions for \(\pi\). (English) Zbl 1484.33021 AIMS Math. 6, No. 5, 5000-5007 (2021). MSC: 33C70 33B15 65D20 PDFBibTeX XMLCite \textit{L. Li}, AIMS Math. 6, No. 5, 5000--5007 (2021; Zbl 1484.33021) Full Text: DOI
Singh, Randhir An efficient technique based on the HAM with Green’s function for a class of nonlocal elliptic boundary value problems. (English) Zbl 1513.65500 Comput. Methods Differ. Equ. 9, No. 3, 722-735 (2021). MSC: 65N99 65R20 65N12 65N15 65D20 33F05 65L10 65L80 34B05 34B15 34B18 34B27 PDFBibTeX XMLCite \textit{R. Singh}, Comput. Methods Differ. Equ. 9, No. 3, 722--735 (2021; Zbl 1513.65500) Full Text: DOI
Le Gia, Quoc T.; Li, Ming; Wang, Yu Guang Algorithm 1018: FaVeST – fast vector spherical harmonic transforms. (English) Zbl 1486.65286 ACM Trans. Math. Softw. 47, No. 4, Article No. 39, 24 p. (2021). MSC: 65R10 33C55 65D20 65Y15 PDFBibTeX XMLCite \textit{Q. T. Le Gia} et al., ACM Trans. Math. Softw. 47, No. 4, Article No. 39, 24 p. (2021; Zbl 1486.65286) Full Text: DOI arXiv
Van Snyder, W. Corrigendum to: “Remark on Algorithm 723: Fresnel integrals”. (English) Zbl 1486.65027 ACM Trans. Math. Softw. 47, No. 4, Article No. 37, 1 p. (2021). MSC: 65D20 33B20 PDFBibTeX XMLCite \textit{W. Van Snyder}, ACM Trans. Math. Softw. 47, No. 4, Article No. 37, 1 p. (2021; Zbl 1486.65027) Full Text: DOI
Brimacombe, Chris; Corless, Robert M.; Zamir, Mair Computation and applications of Mathieu functions: a historical perspective. (English) Zbl 1479.33014 SIAM Rev. 63, No. 4, 653-720 (2021). MSC: 33F05 33-03 33E10 65D20 PDFBibTeX XMLCite \textit{C. Brimacombe} et al., SIAM Rev. 63, No. 4, 653--720 (2021; Zbl 1479.33014) Full Text: DOI arXiv
Liu, Zexin; Narayan, Akil On the computation of recurrence coefficients for univariate orthogonal polynomials. (English) Zbl 1481.65041 J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021). MSC: 65D20 33D45 42C05 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{A. Narayan}, J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021; Zbl 1481.65041) Full Text: DOI arXiv Link
Consiglio, Armando; Mainardi, Francesco On the evolution of fractional diffusive waves. (English) Zbl 1469.35219 Ric. Mat. 70, No. 1, 21-33 (2021). MSC: 35R11 26A33 33E12 34A08 35-03 65D20 60J60 74J05 PDFBibTeX XMLCite \textit{A. Consiglio} and \textit{F. Mainardi}, Ric. Mat. 70, No. 1, 21--33 (2021; Zbl 1469.35219) Full Text: DOI arXiv
Hrycak, Tomasz; Schmutzhard, Sebastian Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence. (English) Zbl 1464.65021 ETNA, Electron. Trans. Numer. Anal. 54, 323-332 (2021). MSC: 65D20 65Q30 33F05 PDFBibTeX XMLCite \textit{T. Hrycak} and \textit{S. Schmutzhard}, ETNA, Electron. Trans. Numer. Anal. 54, 323--332 (2021; Zbl 1464.65021) Full Text: DOI Link
Lampret, Vito Simple, accurate, asymptotic estimates for the ratio of two gamma functions. (English) Zbl 1468.11255 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 40, 10 p. (2021). MSC: 11Y60 33B15 41A60 65D20 26D07 26D20 PDFBibTeX XMLCite \textit{V. Lampret}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 40, 10 p. (2021; Zbl 1468.11255) Full Text: DOI
Chen, Ruyun; Yu, Di; Chen, Juan Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms. (English) Zbl 1452.65046 J. Comput. Appl. Math. 383, Article ID 113141, 9 p. (2021). MSC: 65D32 65D20 41A55 33C10 PDFBibTeX XMLCite \textit{R. Chen} et al., J. Comput. Appl. Math. 383, Article ID 113141, 9 p. (2021; Zbl 1452.65046) Full Text: DOI
Belovas, Igoris; Sabaliauskas, Martynas Series with binomial-like coefficients for evaluation and 3D visualization of zeta functions. (English) Zbl 1485.11124 Informatica, Vilnius 31, No. 4, 659-680 (2020). MSC: 11M06 60F05 11M35 11Y35 33F05 65D20 PDFBibTeX XMLCite \textit{I. Belovas} and \textit{M. Sabaliauskas}, Informatica, Vilnius 31, No. 4, 659--680 (2020; Zbl 1485.11124) Full Text: DOI
Popov, A.; Popov, V. Calculation of lattice sums of general type. (English) Zbl 1469.82034 J. Math. Chem. 58, No. 10, 2399-2414 (2020). MSC: 82D25 33F05 40A25 40A30 40B05 40C15 40F05 40H05 65D20 82B20 PDFBibTeX XMLCite \textit{A. Popov} and \textit{V. Popov}, J. Math. Chem. 58, No. 10, 2399--2414 (2020; Zbl 1469.82034) Full Text: DOI
Tachibana, Yoshihito; Goto, Yoshiaki; Koyama, Tamio; Takayama, Nobuki Holonomic gradient method for two-way contingency tables. (English) Zbl 1461.62231 Algebr. Stat. 11, No. 2, 125-153 (2020). MSC: 62R01 62B05 62H17 33C90 65Q10 PDFBibTeX XMLCite \textit{Y. Tachibana} et al., Algebr. Stat. 11, No. 2, 125--153 (2020; Zbl 1461.62231) Full Text: DOI arXiv
Shu, Jian-Jun; Shastri, Kunal Krishnaraj Basic properties of incomplete Macdonald function with applications. (English) Zbl 1456.33001 J. Funct. Spaces 2020, Article ID 6548298, 8 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33B10 33C10 65D20 PDFBibTeX XMLCite \textit{J.-J. Shu} and \textit{K. K. Shastri}, J. Funct. Spaces 2020, Article ID 6548298, 8 p. (2020; Zbl 1456.33001) Full Text: DOI arXiv
Chand, Mehar Some new integrals involving \(S\)-function and polynomials. (English) Zbl 1453.33005 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 1, 115-121 (2020). MSC: 33C45 44A15 65A05 PDFBibTeX XMLCite \textit{M. Chand}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 1, 115--121 (2020; Zbl 1453.33005) Full Text: DOI
Abergel, Rémy; Moisan, Lionel Algorithm 1006: Fast and accurate evaluation of a generalized incomplete gamma function. (English) Zbl 1484.65043 ACM Trans. Math. Softw. 46, No. 1, Article No. 10, 24 p. (2020). MSC: 65D20 33B20 33F05 PDFBibTeX XMLCite \textit{R. Abergel} and \textit{L. Moisan}, ACM Trans. Math. Softw. 46, No. 1, Article No. 10, 24 p. (2020; Zbl 1484.65043) Full Text: DOI
Krasoń, Piotr; Milewski, Jan New approach to certain real hyper-elliptic integrals. (English) Zbl 1453.33015 Integral Transforms Spec. Funct. 31, No. 7, 519-537 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33E05 65D20 33F05 PDFBibTeX XMLCite \textit{P. Krasoń} and \textit{J. Milewski}, Integral Transforms Spec. Funct. 31, No. 7, 519--537 (2020; Zbl 1453.33015) Full Text: DOI arXiv
Bakaleinikov, L. A.; Tropp, E. A. Asymptotic expansion of Legendre polynomials with respect to the index near \(x = 1\): generalization of the Mehler-Rayleigh formula. (English. Russian original) Zbl 1450.33011 Comput. Math. Math. Phys. 60, No. 7, 1155-1162 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1193-1200 (2020). MSC: 33C45 41A60 65D20 PDFBibTeX XMLCite \textit{L. A. Bakaleinikov} and \textit{E. A. Tropp}, Comput. Math. Math. Phys. 60, No. 7, 1155--1162 (2020; Zbl 1450.33011); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1193--1200 (2020) Full Text: DOI
Maass, Fernando; Martin, Pablo; Olivares, Jorge Analytic approximation to Bessel function \(J_0(x)\). (English) Zbl 1474.65043 Comput. Appl. Math. 39, No. 3, Paper No. 222, 12 p. (2020). MSC: 65D20 33C10 33F05 41A20 41A60 PDFBibTeX XMLCite \textit{F. Maass} et al., Comput. Appl. Math. 39, No. 3, Paper No. 222, 12 p. (2020; Zbl 1474.65043) Full Text: DOI
Chaggara, Hamza; Mbarki, Radhouan; Boussorra, Salma Some characterization problems related to Sheffer polynomial sets. (English) Zbl 1443.33009 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 215-244 (2020). MSC: 33C45 44A20 65D20 PDFBibTeX XMLCite \textit{H. Chaggara} et al., in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 215--244 (2020; Zbl 1443.33009) Full Text: DOI
Crespo, S.; Fasondini, M.; Klein, C.; Stoilov, N.; Vallée, C. Multidomain spectral method for the Gauss hypergeometric function. (English) Zbl 1462.65092 Numer. Algorithms 84, No. 1, 1-35 (2020). MSC: 65L60 33C05 65D20 PDFBibTeX XMLCite \textit{S. Crespo} et al., Numer. Algorithms 84, No. 1, 1--35 (2020; Zbl 1462.65092) Full Text: DOI arXiv Link
Li, Junlin; Wang, Tongke; Hao, Yonghong The series expansions and Gauss-Legendre rule for computing arbitrary derivatives of the beta-type functions. (English) Zbl 07192773 ETNA, Electron. Trans. Numer. Anal. 52, 203-213 (2020). MSC: 65D20 33B15 33B20 PDFBibTeX XMLCite \textit{J. Li} et al., ETNA, Electron. Trans. Numer. Anal. 52, 203--213 (2020; Zbl 07192773) Full Text: DOI Link
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin Ball prolate spheroidal wave functions in arbitrary dimensions. (English) Zbl 1445.42018 Appl. Comput. Harmon. Anal. 48, No. 2, 539-569 (2020). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B37 33C47 33E30 42C05 65D20 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Comput. Harmon. Anal. 48, No. 2, 539--569 (2020; Zbl 1445.42018) Full Text: DOI arXiv
Gil, A.; Segura, J.; Temme, N. M. Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. (English) Zbl 1493.65045 J. Comput. Appl. Math. 371, Article ID 112717, 18 p. (2020). MSC: 65D20 33C10 41A60 65D32 PDFBibTeX XMLCite \textit{A. Gil} et al., J. Comput. Appl. Math. 371, Article ID 112717, 18 p. (2020; Zbl 1493.65045) Full Text: DOI arXiv Link
Johansson, Fredrik Computing the Lambert \(W\) function in arbitrary-precision complex interval arithmetic. (English) Zbl 1477.65047 Numer. Algorithms 83, No. 1, 221-242 (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D20 65G30 33F05 PDFBibTeX XMLCite \textit{F. Johansson}, Numer. Algorithms 83, No. 1, 221--242 (2020; Zbl 1477.65047) Full Text: DOI arXiv
Rea, William The Lanczos Approximation for the \(\Gamma\)-Function with Complex Coefficients. arXiv:2005.10449 Preprint, arXiv:2005.10449 [math.NA] (2020). MSC: 33F05 65D20 BibTeX Cite \textit{W. Rea}, ``The Lanczos Approximation for the $\Gamma$-Function with Complex Coefficients'', Preprint, arXiv:2005.10449 [math.NA] (2020) Full Text: arXiv OA License
Johansson, Fredrik Computing hypergeometric functions rigorously. (English) Zbl 1486.65026 ACM Trans. Math. Softw. 45, No. 3, Article No. 30, 26 p. (2019). MSC: 65D20 33F05 65G30 PDFBibTeX XMLCite \textit{F. Johansson}, ACM Trans. Math. Softw. 45, No. 3, Article No. 30, 26 p. (2019; Zbl 1486.65026) Full Text: DOI arXiv
Gil, Amparo; Segura, Javier; Temme, Nico M. On the computation and inversion of the cumulative noncentral beta distribution function. (English) Zbl 1428.33001 Appl. Math. Comput. 361, 74-86 (2019). MSC: 33B15 33C15 65D20 PDFBibTeX XMLCite \textit{A. Gil} et al., Appl. Math. Comput. 361, 74--86 (2019; Zbl 1428.33001) Full Text: DOI arXiv Link
Brent, Richard P. On the accuracy of asymptotic approximations to the log-gamma and Riemann-Siegel theta functions. (English) Zbl 1436.11106 J. Aust. Math. Soc. 107, No. 3, 319-337 (2019). Reviewer: István Mező (Debrecen) MSC: 11M06 33B15 33B99 65D20 PDFBibTeX XMLCite \textit{R. P. Brent}, J. Aust. Math. Soc. 107, No. 3, 319--337 (2019; Zbl 1436.11106) Full Text: DOI arXiv
Zaghloul, Mofreh R. Remark on “Algorithm 680: Evaluation of the complex error function”: cause and remedy for the loss of accuracy near the real axis. (English) Zbl 1471.65018 ACM Trans. Math. Softw. 45, No. 2, Article No. 24, 3 p. (2019). MSC: 65D20 33E30 PDFBibTeX XMLCite \textit{M. R. Zaghloul}, ACM Trans. Math. Softw. 45, No. 2, Article No. 24, 3 p. (2019; Zbl 1471.65018) Full Text: DOI arXiv
Li, Ang; Wei, Yiheng; Li, Zongyang; Wang, Yong The numerical algorithms for discrete Mittag-Leffler functions approximation. (English) Zbl 07115419 Fract. Calc. Appl. Anal. 22, No. 1, 95-112 (2019). MSC: 65D20 65D15 33E12 34A08 33F05 PDFBibTeX XMLCite \textit{A. Li} et al., Fract. Calc. Appl. Anal. 22, No. 1, 95--112 (2019; Zbl 07115419) Full Text: DOI
Prestin, Jürgen; Wülker, Christian Correction to: “Translation matrix elements for spherical Gauss-Laguerre basis functions”. (English) Zbl 1483.65036 GEM. Int. J. Geomath. 10, Paper No. 15, 1 p. (2019). MSC: 65D20 33F05 41A10 PDFBibTeX XMLCite \textit{J. Prestin} and \textit{C. Wülker}, GEM. Int. J. Geomath. 10, Paper No. 15, 1 p. (2019; Zbl 1483.65036) Full Text: DOI
Prestin, Jürgen; Wülker, Christian Translation matrix elements for spherical Gauss-Laguerre basis functions. (English) Zbl 1483.65035 GEM. Int. J. Geomath. 10, Paper No. 6, 16 p. (2019); correction ibid. 10, Paper No. 15, 1 p. (2019). MSC: 65D20 33F05 41A10 PDFBibTeX XMLCite \textit{J. Prestin} and \textit{C. Wülker}, GEM. Int. J. Geomath. 10, Paper No. 6, 16 p. (2019; Zbl 1483.65035) Full Text: DOI arXiv
Hrycak, Tomasz; Schmutzhard, Sebastian Accurate evaluation of Chebyshev polynomials in floating-point arithmetic. (English) Zbl 1415.65052 BIT 59, No. 2, 403-416 (2019). MSC: 65D20 65Q30 33F05 65G50 PDFBibTeX XMLCite \textit{T. Hrycak} and \textit{S. Schmutzhard}, BIT 59, No. 2, 403--416 (2019; Zbl 1415.65052) Full Text: DOI
Zhou, Yajun Erratum/addendum to: “Kontsevich-Zagier integrals for automorphic Green’s functions. II”. (English) Zbl 1469.11141 Ramanujan J. 49, No. 1, 231-235 (2019). MSC: 11F67 11F03 11F37 11Y70 14G35 33B15 33C05 PDFBibTeX XMLCite \textit{Y. Zhou}, Ramanujan J. 49, No. 1, 231--235 (2019; Zbl 1469.11141) Full Text: DOI arXiv
Gautschi, Walter Correction to: “Sub-range Jacobi polynomials”. (English) Zbl 1454.65013 Numer. Algorithms 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 81, No. 2, 771 (2019; Zbl 1454.65013) Full Text: DOI
Bremer, James An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. (English) Zbl 1418.65037 Adv. Comput. Math. 45, No. 1, 173-211 (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 65D20 33C10 33F05 33F10 65L99 34E05 PDFBibTeX XMLCite \textit{J. Bremer}, Adv. Comput. Math. 45, No. 1, 173--211 (2019; Zbl 1418.65037) Full Text: DOI arXiv
Gil, Amparo; Segura, Javier; Temme, Nico M. Noniterative computation of Gauss-Jacobi quadrature. (English) Zbl 1408.33020 SIAM J. Sci. Comput. 41, No. 1, A668-A693 (2019). MSC: 33C45 41A60 65D20 65D32 PDFBibTeX XMLCite \textit{A. Gil} et al., SIAM J. Sci. Comput. 41, No. 1, A668--A693 (2019; Zbl 1408.33020) Full Text: DOI arXiv
Khan, Abdul Hakim; Ahmad, Mohammad; Nadeem, Raghib; Usman, Talha Certain integral associated with generalized Whittaker function. (English) Zbl 1396.33023 Electron. J. Math. Anal. Appl. 7, No. 1, 166-175 (2019). MSC: 33C45 33C15 65A05 PDFBibTeX XMLCite \textit{A. H. Khan} et al., Electron. J. Math. Anal. Appl. 7, No. 1, 166--175 (2019; Zbl 1396.33023)
Zhang, Xinge; Bremer, James An O(1) Algorithm for the Numerical Evaluation of the Prolate Spheroidal Wave Functions of Order 0. arXiv:1905.04415 Preprint, arXiv:1905.04415 [math.NA] (2019). MSC: 65D20 65L99 33F05 BibTeX Cite \textit{X. Zhang} and \textit{J. Bremer}, ``An O(1) Algorithm for the Numerical Evaluation of the Prolate Spheroidal Wave Functions of Order 0'', Preprint, arXiv:1905.04415 [math.NA] (2019) Full Text: arXiv OA License
Takács, J. Equivalent analytical functions of sums of sigmoid like transcendental functions. (English) Zbl 1524.33003 Appl. Math. Nonlinear Sci. 3, No. 2, 403-408 (2018). MSC: 33B10 65D20 PDFBibTeX XMLCite \textit{J. Takács}, Appl. Math. Nonlinear Sci. 3, No. 2, 403--408 (2018; Zbl 1524.33003) Full Text: DOI
Qiao, Quan-Xi; Chen, Chao-Ping Approximations to inverse tangent function. (English) Zbl 1498.26028 J. Inequal. Appl. 2018, Paper No. 141, 14 p. (2018). MSC: 26D05 26D15 41A21 33B10 65D20 PDFBibTeX XMLCite \textit{Q.-X. Qiao} and \textit{C.-P. Chen}, J. Inequal. Appl. 2018, Paper No. 141, 14 p. (2018; Zbl 1498.26028) Full Text: DOI
Ortigueira, Manuel D.; Lopes, António M.; Machado, J. A. Tenreiro Corrigendum to: “On the computation of the multidimensional Mittag-Leffler function”. (English) Zbl 1510.65046 Commun. Nonlinear Sci. Numer. Simul. 55, 355 (2018). MSC: 65D20 33E12 33F05 PDFBibTeX XMLCite \textit{M. D. Ortigueira} et al., Commun. Nonlinear Sci. Numer. Simul. 55, 355 (2018; Zbl 1510.65046) Full Text: DOI
Ceretani, Andrea N.; Salva, Natalia N.; Tarzia, Domingo A. Approximation of the modified error function. (English) Zbl 1427.33001 Appl. Math. Comput. 337, 607-617 (2018). MSC: 33B15 34B08 34B15 35R35 65D20 80A22 PDFBibTeX XMLCite \textit{A. N. Ceretani} et al., Appl. Math. Comput. 337, 607--617 (2018; Zbl 1427.33001) Full Text: DOI arXiv
Abrarov, Sanjar M.; Quine, Brendan M. A rational approximation of the Dawson’s integral for efficient computation of the complex error function. (English) Zbl 1426.65031 Appl. Math. Comput. 321, 526-543 (2018). MSC: 65D20 33B15 33B20 PDFBibTeX XMLCite \textit{S. M. Abrarov} and \textit{B. M. Quine}, Appl. Math. Comput. 321, 526--543 (2018; Zbl 1426.65031) Full Text: DOI arXiv
Gautschi, Walter On the Ismail-Letessier-Askey monotonicity conjecture for zeros of ultraspherical polynomials. (English) Zbl 1411.33009 Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 251-266 (2018). MSC: 33C45 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 251--266 (2018; Zbl 1411.33009) Full Text: DOI
Rababah, Abedallah; Hijazi, Esraa Generalized Chebyshev polynomials of third kind. (English) Zbl 1414.33013 Proc. Jangjeon Math. Soc. 21, No. 3, 515-523 (2018). MSC: 33C45 65D20 PDFBibTeX XMLCite \textit{A. Rababah} and \textit{E. Hijazi}, Proc. Jangjeon Math. Soc. 21, No. 3, 515--523 (2018; Zbl 1414.33013)
Gautschi, Walter; Milovanović, Gradimir V. Binet-type polynomials and their zeros. (English) Zbl 1406.33010 ETNA, Electron. Trans. Numer. Anal. 50, 52-70 (2018). MSC: 33C47 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, ETNA, Electron. Trans. Numer. Anal. 50, 52--70 (2018; Zbl 1406.33010) Full Text: DOI Link
Kim, Daeyeoul; Kim, So Eun; So, Ji Suk A study of sum of divisor functions and Stirling number of the first kind derived from Liouville functions. (English) Zbl 1442.11012 J. Appl. Math. Inform. 36, No. 5-6, 435-446 (2018). MSC: 11A25 11Y70 11B73 33E30 PDFBibTeX XMLCite \textit{D. Kim} et al., J. Appl. Math. Inform. 36, No. 5--6, 435--446 (2018; Zbl 1442.11012) Full Text: DOI
Gautschi, Walter On the zeros of subrange Jacobi polynomials. (English) Zbl 1403.33009 Numer. Algorithms 79, No. 3, 759-768 (2018). Reviewer: Richard B. Paris (Dundee) MSC: 33C47 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 79, No. 3, 759--768 (2018; Zbl 1403.33009) Full Text: DOI
Gautschi, Walter A software repository for orthogonal polynomials. (English) Zbl 1398.33001 Software - Environments - Tools 28. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-522-2/ebook). viii, 60 p. (2018). MSC: 33-04 33C45 33F05 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, A software repository for orthogonal polynomials. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1398.33001)
Johansson, B. Tomas An elementary algorithm to evaluate trigonometric functions to high precision. (English) Zbl 1397.97045 Int. J. Math. Educ. Sci. Technol. 49, No. 1, 131-137 (2018). MSC: 97N50 65D20 33F05 PDFBibTeX XMLCite \textit{B. T. Johansson}, Int. J. Math. Educ. Sci. Technol. 49, No. 1, 131--137 (2018; Zbl 1397.97045) Full Text: DOI
Gil, Amparo; Segura, Javier; Temme, Nico M. Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. (English) Zbl 1393.33011 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 073, 9 p. (2018). MSC: 33C45 41A60 65D20 PDFBibTeX XMLCite \textit{A. Gil} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 073, 9 p. (2018; Zbl 1393.33011) Full Text: DOI arXiv
Navas-Palencia, Guillermo High-precision computation of the confluent hypergeometric functions via Franklin-Friedman expansion. (English) Zbl 1393.33008 Adv. Comput. Math. 44, No. 3, 841-859 (2018). MSC: 33C15 33F05 41A58 65D20 68W30 PDFBibTeX XMLCite \textit{G. Navas-Palencia}, Adv. Comput. Math. 44, No. 3, 841--859 (2018; Zbl 1393.33008) Full Text: DOI
Luo, Yixiang; Xu, Jie; Zhang, Pingwen A fast algorithm for the moments of Bingham distribution. (English) Zbl 1499.65070 J. Sci. Comput. 75, No. 3, 1337-1350 (2018). MSC: 65D20 33F05 60E05 60-08 PDFBibTeX XMLCite \textit{Y. Luo} et al., J. Sci. Comput. 75, No. 3, 1337--1350 (2018; Zbl 1499.65070) Full Text: DOI arXiv
Huang, Mei Ling; Kerman, Ron; Spektor, Susanna An estimate of the root mean square error incurred when approximating an \(f\in L^2(\mathbb R)\) by a partial sum of its Hermite series. (English) Zbl 1391.33047 Mathematics 6, No. 4, Paper No. 64, 18 p. (2018). MSC: 33F05 65D20 42A99 PDFBibTeX XMLCite \textit{M. L. Huang} et al., Mathematics 6, No. 4, Paper No. 64, 18 p. (2018; Zbl 1391.33047) Full Text: DOI arXiv
Hrycak, Tomasz; Schmutzhard, Sebastian Evaluation of Chebyshev polynomials by a three-term recurrence in floating-point arithmetic. (English) Zbl 1477.65046 BIT 58, No. 2, 317-330 (2018). Reviewer: Boro Döring (Düsseldorf) MSC: 65D20 33F05 65G50 65Q30 PDFBibTeX XMLCite \textit{T. Hrycak} and \textit{S. Schmutzhard}, BIT 58, No. 2, 317--330 (2018; Zbl 1477.65046) Full Text: DOI
Sidortsov, M. V.; Drapeza, A. A.; Starovoĭtov, A. P. Speed of convergence of quadratic Hermite-Padé approximations confluent hypergeometric functions. (Russian. English summary) Zbl 1390.33041 Probl. Fiz. Mat. Tekh. 2018, No. 1(34), 71-78 (2018). MSC: 33F05 33C05 33C15 65D20 PDFBibTeX XMLCite \textit{M. V. Sidortsov} et al., Probl. Fiz. Mat. Tekh. 2018, No. 1(34), 71--78 (2018; Zbl 1390.33041) Full Text: MNR
Bremer, James An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order. (English) Zbl 1395.65005 J. Comput. Phys. 360, 15-38 (2018). MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{J. Bremer}, J. Comput. Phys. 360, 15--38 (2018; Zbl 1395.65005) Full Text: DOI arXiv
Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi \(A\)-hypergeometric distributions and Newton polytopes. (English) Zbl 1391.33030 Adv. Appl. Math. 99, 109-133 (2018). MSC: 33C70 62H12 62H17 PDFBibTeX XMLCite \textit{N. Takayama} et al., Adv. Appl. Math. 99, 109--133 (2018; Zbl 1391.33030) Full Text: DOI arXiv
Xue, Changfeng; Deng, Shaozhong Recursive computation of logarithmic derivatives, ratios, and products of spheroidal harmonics and modified Bessel functions and applications. (English) Zbl 1398.65029 J. Sci. Comput. 75, No. 1, 128-156 (2018). MSC: 65D20 33F05 PDFBibTeX XMLCite \textit{C. Xue} and \textit{S. Deng}, J. Sci. Comput. 75, No. 1, 128--156 (2018; Zbl 1398.65029) Full Text: DOI
Kerimov, M. K. Studies on the zeroes of Bessel functions and methods for their computation. IV: Inequalities, estimates, expansions, etc., for zeros of Bessel functions. (English. Russian original) Zbl 1387.33009 Comput. Math. Math. Phys. 58, No. 1, 1-37 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 1, 3-41 (2018). MSC: 33C10 26D07 65D20 PDFBibTeX XMLCite \textit{M. K. Kerimov}, Comput. Math. Math. Phys. 58, No. 1, 1--37 (2018; Zbl 1387.33009); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 1, 3--41 (2018) Full Text: DOI
Lu, Dawei; Song, Lixin; Wang, Xiaoguang; Wang, Junying New asymptotic formulas and inequalities for the gamma function based on continued fractions. (English) Zbl 1390.33006 Result. Math. 73, No. 1, Paper No. 37, 16 p. (2018). MSC: 33B15 11A55 41A60 41A25 65D20 PDFBibTeX XMLCite \textit{D. Lu} et al., Result. Math. 73, No. 1, Paper No. 37, 16 p. (2018; Zbl 1390.33006) Full Text: DOI
Navas-Palencia, Guillermo Fast and accurate algorithm for the generalized exponential integral \(E_{\nu}(x)\) for positive real order. (English) Zbl 1382.65062 Numer. Algorithms 77, No. 2, 603-630 (2018). MSC: 65D20 33E05 33F05 PDFBibTeX XMLCite \textit{G. Navas-Palencia}, Numer. Algorithms 77, No. 2, 603--630 (2018; Zbl 1382.65062) Full Text: DOI
Tcheutia, D. D.; Jooste, A. S.; Koepf, W. Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials. (English) Zbl 1379.65014 Appl. Numer. Math. 125, 86-102 (2018). MSC: 65D20 33D45 65Q30 PDFBibTeX XMLCite \textit{D. D. Tcheutia} et al., Appl. Numer. Math. 125, 86--102 (2018; Zbl 1379.65014) Full Text: DOI
Filipuk, G.; Rebocho, M. N. Differential equations for families of semi-classical orthogonal polynomials within class one. (English) Zbl 1377.65030 Appl. Numer. Math. 124, 76-88 (2018). MSC: 65D20 65Q30 34M55 42C05 33C47 33F05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{M. N. Rebocho}, Appl. Numer. Math. 124, 76--88 (2018; Zbl 1377.65030) Full Text: DOI Link