Todino, Anna Paola No smooth phase transition for the nodal length of band-limited spherical random fields. (English) Zbl 07800506 Stochastic Processes Appl. 169, Article ID 104273, 23 p. (2024). MSC: 60G60 42C10 33C55 62M15 35P20 PDFBibTeX XMLCite \textit{A. P. Todino}, Stochastic Processes Appl. 169, Article ID 104273, 23 p. (2024; Zbl 07800506) Full Text: DOI arXiv
Aizawa, Shuya; Miyamoto, Yasuhito; Wakasa, Tohru Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation. (English) Zbl 07758545 J. Elliptic Parabol. Equ. 9, No. 2, 1043-1070 (2023). Reviewer: Smail Djebali (Riyadh) MSC: 34L20 34B09 34L15 34A05 33C45 34C23 34L10 PDFBibTeX XMLCite \textit{S. Aizawa} et al., J. Elliptic Parabol. Equ. 9, No. 2, 1043--1070 (2023; Zbl 07758545) Full Text: DOI OA License
Notarnicola, Massimo; Peccati, Giovanni; Vidotto, Anna Functional convergence of Berry’s nodal lengths: approximate tightness and total disorder. (English) Zbl 07707845 J. Stat. Phys. 190, No. 5, Paper No. 97, 41 p. (2023). MSC: 60G60 60F05 34L20 33C10 PDFBibTeX XMLCite \textit{M. Notarnicola} et al., J. Stat. Phys. 190, No. 5, Paper No. 97, 41 p. (2023; Zbl 07707845) Full Text: DOI arXiv
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Shkalikov, A. A. On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 1517.81051 Math. Notes 112, No. 5, 623-641 (2022); translation from Mat. Zametki 112, No. 5, 644-664 (2022). MSC: 81Q10 34L40 34L20 81Q20 34L15 33C10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 112, No. 5, 623--641 (2022; Zbl 1517.81051); translation from Mat. Zametki 112, No. 5, 644--664 (2022) Full Text: DOI
Pan, Hongjing; Ye, Shiyi An inequality of Bessel functions and applications to transcritical bifurcation problems of nonlinear elliptic equations. (English) Zbl 1528.35056 J. Differ. Equations 341, 657-674 (2022). MSC: 35J60 33C10 35B32 35B33 35J93 35P30 PDFBibTeX XMLCite \textit{H. Pan} and \textit{S. Ye}, J. Differ. Equations 341, 657--674 (2022; Zbl 1528.35056) Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming; Zhou, Keru \(q\)-fractional Askey-Wilson integrals and related semigroups of operators. (English) Zbl 07631007 Physica D 442, Article ID 133534, 15 p. (2022). MSC: 47D03 26A33 33D45 41A35 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Physica D 442, Article ID 133534, 15 p. (2022; Zbl 07631007) Full Text: DOI arXiv
Pechentsov, A. S. Distribution of the spectrum of the Airy operator perturbed by delta interactions. (English) Zbl 1501.34074 Russ. J. Math. Phys. 29, No. 1, 115-118 (2022). Reviewer: Manfred Möller (Johannesburg) MSC: 34L40 34B24 34B37 34L05 34L15 34L20 33C10 PDFBibTeX XMLCite \textit{A. S. Pechentsov}, Russ. J. Math. Phys. 29, No. 1, 115--118 (2022; Zbl 1501.34074) Full Text: DOI
Shapiro, Boris; Tater, Miloš On spectral asymptotic of quasi-exactly solvable quartic potential. (English) Zbl 1497.34118 Anal. Math. Phys. 12, No. 1, Paper No. 2, 35 p. (2022). Reviewer: Rodica Luca (Iaşi) MSC: 34L20 34C15 33E05 34B09 34B40 PDFBibTeX XMLCite \textit{B. Shapiro} and \textit{M. Tater}, Anal. Math. Phys. 12, No. 1, Paper No. 2, 35 p. (2022; Zbl 1497.34118) Full Text: DOI arXiv
Jafarov, E. I.; Nagiyev, S. M. Exact solution of the position-dependent mass Schrödinger equation with the completely positive oscillator-shaped quantum well potential. arXiv:2212.13062 Preprint, arXiv:2212.13062 [quant-ph] (2022). MSC: 33C45 33C90 34L10 34L15 34L40 BibTeX Cite \textit{E. I. Jafarov} and \textit{S. M. Nagiyev}, ``Exact solution of the position-dependent mass Schr\"odinger equation with the completely positive oscillator-shaped quantum well potential'', Preprint, arXiv:2212.13062 [quant-ph] (2022) Full Text: DOI arXiv OA License
Allahverdiev, B. P.; Tuna, Hüseyin Spectral analysis of Hahn-Dirac system. (English) Zbl 1485.39007 Proyecciones 40, No. 6, 1547-1567 (2021). MSC: 39A13 39A70 33D15 34B27 34L10 34L40 47A10 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Proyecciones 40, No. 6, 1547--1567 (2021; Zbl 1485.39007) Full Text: DOI
Krasoń, Piotr; Milewski, Jan On eigenproblem for inverted harmonic oscillators. (English) Zbl 1484.34073 Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 61-73 (2021). Reviewer: A. S. Makin (Moskva) MSC: 34B09 34L10 34L15 46F05 33C15 PDFBibTeX XMLCite \textit{P. Krasoń} and \textit{J. Milewski}, Banach Cent. Publ. 124, 61--73 (2021; Zbl 1484.34073) Full Text: DOI arXiv
Hıra, Fatma Sampling theorem associated with Dirac system of the Hahn difference operator. (English) Zbl 1466.94014 Appl. Math. E-Notes 20, 115-123 (2020). MSC: 94A20 33D15 35Q41 34L20 39A70 PDFBibTeX XMLCite \textit{F. Hıra}, Appl. Math. E-Notes 20, 115--123 (2020; Zbl 1466.94014) Full Text: Link
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S. How many eigenvalues of a product of truncated orthogonal matrices are real? (English) Zbl 1466.15035 Exp. Math. 29, No. 3, 276-290 (2020). MSC: 15B52 15A18 15B10 33C47 34L20 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Exp. Math. 29, No. 3, 276--290 (2020; Zbl 1466.15035) Full Text: DOI arXiv
Karayer, H.; Demirhan, D.; Atman, K. G. Analytical exact solutions for the Razavy type potential. (English) Zbl 1457.34003 Math. Methods Appl. Sci. 43, No. 15, 9185-9194 (2020). MSC: 34A05 34L10 33C15 81V19 34L15 PDFBibTeX XMLCite \textit{H. Karayer} et al., Math. Methods Appl. Sci. 43, No. 15, 9185--9194 (2020; Zbl 1457.34003) Full Text: DOI
Peccati, Giovanni; Vidotto, Anna Gaussian random measures generated by Berry’s nodal sets. (English) Zbl 1447.60080 J. Stat. Phys. 178, No. 4, 996-1027 (2020). MSC: 60G60 60F05 34L20 33C10 PDFBibTeX XMLCite \textit{G. Peccati} and \textit{A. Vidotto}, J. Stat. Phys. 178, No. 4, 996--1027 (2020; Zbl 1447.60080) Full Text: DOI arXiv
Boulsane, Mourad; Bourguiba, Nourelhouda; Karoui, Abderrazek Discrete prolate spheroidal wave functions: further spectral analysis and some related applications. (English) Zbl 1437.42004 J. Sci. Comput. 82, No. 3, Paper No. 54, 19 p. (2020). MSC: 42A38 33E30 15B52 60F10 60B20 PDFBibTeX XMLCite \textit{M. Boulsane} et al., J. Sci. Comput. 82, No. 3, Paper No. 54, 19 p. (2020; Zbl 1437.42004) Full Text: DOI arXiv
Guo, Zihua; Han, Xiaolong; Tacy, Melissa \(L^p\) bilinear quasimode estimates. (English) Zbl 1418.35285 J. Geom. Anal. 29, No. 3, 2242-2289 (2019). MSC: 35P15 58J40 35B30 33C55 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Geom. Anal. 29, No. 3, 2242--2289 (2019; Zbl 1418.35285) Full Text: DOI arXiv
Horozov, Emil Vector orthogonal polynomials with Bochner’s property. (English) Zbl 1423.33024 Constr. Approx. 48, No. 2, 201-234 (2018). Reviewer: D. L. Suthar (Dessie) MSC: 33C80 30C15 34L20 PDFBibTeX XMLCite \textit{E. Horozov}, Constr. Approx. 48, No. 2, 201--234 (2018; Zbl 1423.33024) Full Text: DOI arXiv
Horozov, Emil \(d\)-orthogonal analogs of classical orthogonal polynomials. (English) Zbl 1393.33012 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 063, 27 p. (2018). MSC: 33C45 30C15 34L20 PDFBibTeX XMLCite \textit{E. Horozov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 063, 27 p. (2018; Zbl 1393.33012) Full Text: DOI arXiv
Horozov, Emil; Shapiro, Boris; Tater, Milos In search of higher Bochner theorem. arXiv:1807.01558 Preprint, arXiv:1807.01558 [math-ph] (2018). MSC: 34L20 30C15 33E05 BibTeX Cite \textit{E. Horozov} et al., ``In search of higher Bochner theorem'', Preprint, arXiv:1807.01558 [math-ph] (2018) Full Text: arXiv OA License
Sukhorol’s’kyi, M. A. Bessel functions of two complex mutually conjugate variables and their application in boundary-value problems of mathematical physics. (English. Ukrainian original) Zbl 1499.33025 Ukr. Math. J. 69, No. 3, 444-463 (2017); translation from Ukr. Mat. Zh. 69, No. 3, 381-396 (2017). MSC: 33C10 35C05 35C10 35C15 35L15 PDFBibTeX XMLCite \textit{M. A. Sukhorol's'kyi}, Ukr. Math. J. 69, No. 3, 444--463 (2017; Zbl 1499.33025); translation from Ukr. Mat. Zh. 69, No. 3, 381--396 (2017) Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin One-dimensional \(q\)-Dirac equation. (English) Zbl 1440.39003 Math. Methods Appl. Sci. 40, No. 18, 7287-7306 (2017). MSC: 39A13 33D15 34L10 34L40 47A10 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Math. Methods Appl. Sci. 40, No. 18, 7287--7306 (2017; Zbl 1440.39003) Full Text: DOI
Baricz, Árpád Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions. (English) Zbl 1360.34035 Proc. Am. Math. Soc. 145, No. 4, 1643-1648 (2017). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B09 34B30 33C15 33C10 PDFBibTeX XMLCite \textit{Á. Baricz}, Proc. Am. Math. Soc. 145, No. 4, 1643--1648 (2017; Zbl 1360.34035) Full Text: DOI arXiv Link
Casper, William A Connection Between Orthogonal Polynomials and Shear Instabilities in the Quasi-geostrophic Shallow Water Equations. arXiv:1701.07048 Preprint, arXiv:1701.07048 [math-ph] (2017). MSC: 76E20 76U05 34L10 34L16 33D45 42C05 BibTeX Cite \textit{W. Casper}, ``A Connection Between Orthogonal Polynomials and Shear Instabilities in the Quasi-geostrophic Shallow Water Equations'', Preprint, arXiv:1701.07048 [math-ph] (2017) Full Text: arXiv OA License
Forrester, Peter J.; Ipsen, Jesper R. Real eigenvalue statistics for products of asymmetric real Gaussian matrices. (English) Zbl 1352.15038 Linear Algebra Appl. 510, 259-290 (2016). MSC: 15B52 33C47 34L20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. R. Ipsen}, Linear Algebra Appl. 510, 259--290 (2016; Zbl 1352.15038) Full Text: DOI arXiv
Horozov, Emil Automorphisms of algebras and Bochner’s property for vector orthogonal polynomials. (English) Zbl 1344.34093 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 050, 14 p. (2016). MSC: 34L20 33C45 47E05 PDFBibTeX XMLCite \textit{E. Horozov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 050, 14 p. (2016; Zbl 1344.34093) Full Text: DOI arXiv
Xu, Jian; Fan, Engui; Chen, Yang Large \(\mathrm{N}\)-limit for random matrices with external source with three distinct eigenvalues. (English) Zbl 1381.60023 Random Matrices Theory Appl. 5, No. 2, Article ID 1650005, 30 p. (2016). MSC: 60B20 30E25 33C45 34M50 34L20 PDFBibTeX XMLCite \textit{J. Xu} et al., Random Matrices Theory Appl. 5, No. 2, Article ID 1650005, 30 p. (2016; Zbl 1381.60023) Full Text: DOI arXiv
Bonami, Aline; Karoui, Abderrazek Some further estimates of the prolate spheroidal wave functions and their spectrum. (English) Zbl 1311.42066 Adv. Pure Appl. Math. 6, No. 2, 81-95 (2015). MSC: 42C10 65L70 41A60 65L15 33E10 PDFBibTeX XMLCite \textit{A. Bonami} and \textit{A. Karoui}, Adv. Pure Appl. Math. 6, No. 2, 81--95 (2015; Zbl 1311.42066) Full Text: DOI
Ismail, Mourad E. H.; Simeonov, Plamen Complex Hermite polynomials: their combinatorics and integral operators. (English) Zbl 1308.05009 Proc. Am. Math. Soc. 143, No. 4, 1397-1410 (2015). MSC: 05A15 05A18 33C45 45P05 42A65 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, Proc. Am. Math. Soc. 143, No. 4, 1397--1410 (2015; Zbl 1308.05009) Full Text: DOI
Bender, Carl M.; Fring, Andreas; Komijani, Javad Nonlinear eigenvalue problems. (English) Zbl 1295.65083 J. Phys. A, Math. Theor. 47, No. 23, Article ID 235204, 15 p. (2014). MSC: 65L15 32A05 33E15 34L20 47J10 81Q05 34L30 34E20 PDFBibTeX XMLCite \textit{C. M. Bender} et al., J. Phys. A, Math. Theor. 47, No. 23, Article ID 235204, 15 p. (2014; Zbl 1295.65083) Full Text: DOI arXiv Link
Grandati, Y.; Quesne, C. Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. (English) Zbl 1284.81128 J. Math. Phys. 54, No. 7, 073512, 13 p. (2013). MSC: 81Q10 34L20 81Q60 37K35 33C45 PDFBibTeX XMLCite \textit{Y. Grandati} and \textit{C. Quesne}, J. Math. Phys. 54, No. 7, 073512, 13 p. (2013; Zbl 1284.81128) Full Text: DOI arXiv HAL
Kijowski, Michael; Klinkenbusch, Ludger Exact and physical-optics analysis of the electromagnetic scattering by an elliptic cone. (English) Zbl 1282.78021 COMPEL 32, No. 3, Article ID 17086451, 868-884 (2013). MSC: 78A45 78M16 34B24 33C10 33E10 35J05 78A40 PDFBibTeX XMLCite \textit{M. Kijowski} and \textit{L. Klinkenbusch}, COMPEL 32, No. 3, Article ID 17086451, 868--884 (2013; Zbl 1282.78021) Full Text: DOI
Nguyen, B.-T.; Grebenkov, D. S. Localization of Laplacian eigenfunctions in circular, spherical, and elliptical domains. (English) Zbl 1432.35153 SIAM J. Appl. Math. 73, No. 2, 780-803 (2013). MSC: 35P15 33C10 33E10 35J05 35P20 PDFBibTeX XMLCite \textit{B. T. Nguyen} and \textit{D. S. Grebenkov}, SIAM J. Appl. Math. 73, No. 2, 780--803 (2013; Zbl 1432.35153) Full Text: DOI arXiv
Rakhmanov, E. A. Orthogonal polynomials and \(S\)-curves. (English) Zbl 1318.30056 Arvesú, Jorge (ed.) et al., Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 195-239 (2012). MSC: 30E15 33E30 34L20 41A20 41A21 42C05 PDFBibTeX XMLCite \textit{E. A. Rakhmanov}, Contemp. Math. 578, 195--239 (2012; Zbl 1318.30056) Full Text: DOI arXiv
Andronov, Artyom N. On the eigenvalues of a problem for the Laplace operator on an \(s\)-dimensional sphere. (English) Zbl 1299.35090 ROMAI J. 8, No. 2, 7-12 (2012). MSC: 35P05 35J05 58C40 33C10 PDFBibTeX XMLCite \textit{A. N. Andronov}, ROMAI J. 8, No. 2, 7--12 (2012; Zbl 1299.35090)
Karoui, Abderrazek; Mehrzi, Issam Asymptotic behaviors and numerical computations of the eigenfunctions and eigenvalues associated with the classical and circular prolate spheroidal wave functions. (English) Zbl 1280.33017 Appl. Math. Comput. 218, No. 22, 10871-10888 (2012). MSC: 33E10 33F05 PDFBibTeX XMLCite \textit{A. Karoui} and \textit{I. Mehrzi}, Appl. Math. Comput. 218, No. 22, 10871--10888 (2012; Zbl 1280.33017) Full Text: DOI
Shapiro, Boris; Takemura, Kouichi; Tater, Miloš On spectral polynomials of the Heun equation. II. (English) Zbl 1266.34139 Commun. Math. Phys. 311, No. 2, 277-300 (2012). Reviewer: John Schmeelk (Doha) MSC: 34M03 33E10 34L20 30D35 PDFBibTeX XMLCite \textit{B. Shapiro} et al., Commun. Math. Phys. 311, No. 2, 277--300 (2012; Zbl 1266.34139) Full Text: DOI arXiv
Karoui, Abderrazek; Mehrzi, Issam; Moumni, Taher Eigenfunctions of the Airy’s integral transform: Properties, numerical computations and asymptotic behaviors. (English) Zbl 1243.65160 J. Math. Anal. Appl. 389, No. 2, 989-1005 (2012). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45C05 45P05 33C10 PDFBibTeX XMLCite \textit{A. Karoui} et al., J. Math. Anal. Appl. 389, No. 2, 989--1005 (2012; Zbl 1243.65160) Full Text: DOI
Marinucci, Domenico; Wigman, Igor On the area of excursion sets of spherical Gaussian eigenfunctions. (English) Zbl 1272.82017 J. Math. Phys. 52, No. 9, 093301, 21 p. (2011). MSC: 82B31 35J05 35P20 60F05 33C45 PDFBibTeX XMLCite \textit{D. Marinucci} and \textit{I. Wigman}, J. Math. Phys. 52, No. 9, 093301, 21 p. (2011; Zbl 1272.82017) Full Text: DOI arXiv
Annaby, Mahmoud H.; Mansour, Zeinab S. Asymptotic formulae for eigenvalues and eigenfunctions of \(q\)-Sturm-Liouville problems. (English) Zbl 1219.39003 Math. Nachr. 284, No. 4, 443-470 (2011). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 34L20 33D15 30D05 47B39 39A12 39A70 PDFBibTeX XMLCite \textit{M. H. Annaby} and \textit{Z. S. Mansour}, Math. Nachr. 284, No. 4, 443--470 (2011; Zbl 1219.39003) Full Text: DOI
Masoero, Davide Poles of intégrale tritronquée and anharmonic oscillators. Asymptotic localization from WKB analysis. (English) Zbl 1204.33026 Nonlinearity 23, No. 10, 2501-2507 (2010). MSC: 33E17 34E20 34L20 34M30 34M50 PDFBibTeX XMLCite \textit{D. Masoero}, Nonlinearity 23, No. 10, 2501--2507 (2010; Zbl 1204.33026) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A. On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. (English) Zbl 1207.30058 Arvesú, Jorge (ed.) et al., Recent trends in orthogonal polynomials and approximation theory. International workshop in honor of Guillermo López Lagomasino’s 60th birthday, Universidad Carlos III de Madrid, Leganés, Spain. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4803-6/pbk). Contemporary Mathematics 507, 209-232 (2010). Reviewer: Polina Z. Agranovich (Khar’kov) MSC: 30E15 33E30 34L20 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. A. Rakhmanov}, Contemp. Math. 507, 209--232 (2010; Zbl 1207.30058) Full Text: arXiv
Shapiro, Boris; Tater, Miloš On spectral polynomials of the Heun equation. I. (English) Zbl 1208.34143 J. Approx. Theory 162, No. 4, 766-781 (2010). Reviewer: John Schmeelk (Doha) MSC: 34M03 33E10 34L20 30D35 PDFBibTeX XMLCite \textit{B. Shapiro} and \textit{M. Tater}, J. Approx. Theory 162, No. 4, 766--781 (2010; Zbl 1208.34143) Full Text: DOI arXiv Link
Bruschi, M.; Calogero, F.; Droghei, R. Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: results from the stationary Korteweg-de Vries hierarchy. (English) Zbl 1220.37050 J. Math. Phys. 50, No. 12, 122701, 19 p. (2009). MSC: 37K10 33C90 35Q53 PDFBibTeX XMLCite \textit{M. Bruschi} et al., J. Math. Phys. 50, No. 12, 122701, 19 p. (2009; Zbl 1220.37050) Full Text: DOI Link
Janaswamy, R. Transitional probabilities for the four-state random walk on a lattice in the presence of partially reflecting boundaries. (English) Zbl 1187.82050 J. Math. Phys. 50, No. 5, 053301, 11 p. (2009). MSC: 82B41 33C45 82B20 PDFBibTeX XMLCite \textit{R. Janaswamy}, J. Math. Phys. 50, No. 5, 053301, 11 p. (2009; Zbl 1187.82050) Full Text: DOI Link
Wigman, Igor On the distribution of the nodal sets of random spherical harmonics. (English) Zbl 1200.58021 J. Math. Phys. 50, No. 1, 013521, 44 p. (2009). MSC: 58J50 33C55 35J05 35P20 PDFBibTeX XMLCite \textit{I. Wigman}, J. Math. Phys. 50, No. 1, 013521, 44 p. (2009; Zbl 1200.58021) Full Text: DOI arXiv
Karoui, Abderrazek; Moumni, Taher Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions. (English) Zbl 1180.65170 J. Comput. Appl. Math. 233, No. 2, 315-333 (2009). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65R10 33E10 33C10 44A15 45C05 65D20 33F05 PDFBibTeX XMLCite \textit{A. Karoui} and \textit{T. Moumni}, J. Comput. Appl. Math. 233, No. 2, 315--333 (2009; Zbl 1180.65170) Full Text: DOI
Ikhdair, Sameer M.; Sever, Ramazan Improved analytical approximation to arbitrary \(l\)-state solutions of the Schrödinger equation for the hyperbolical potential. (English) Zbl 1163.81303 Ann. Phys. (8) 18, No. 4, 189-197 (2009). MSC: 81Q05 33C45 PDFBibTeX XMLCite \textit{S. M. Ikhdair} and \textit{R. Sever}, Ann. Phys. (8) 18, No. 4, 189--197 (2009; Zbl 1163.81303) Full Text: DOI
Rothwell, E. J. Computation of the logarithm of Bessel functions of complex argument and fractional order. (English) Zbl 1148.65017 Commun. Numer. Methods Eng. 24, No. 3, 237-249 (2008). MSC: 65D20 33C10 33F05 78A45 PDFBibTeX XMLCite \textit{E. J. Rothwell}, Commun. Numer. Methods Eng. 24, No. 3, 237--249 (2008; Zbl 1148.65017) Full Text: DOI
Borcea, Julius Choquet order for spectra of higher Lamé operators and orthogonal polynomials. (English) Zbl 1156.34068 J. Approx. Theory 151, No. 2, 164-180 (2008). Reviewer: Yuefei Wang (Beijing) MSC: 34L05 34L20 33C45 60E15 PDFBibTeX XMLCite \textit{J. Borcea}, J. Approx. Theory 151, No. 2, 164--180 (2008; Zbl 1156.34068) Full Text: DOI arXiv
Acho, Thomas M. Derivation of eigenrelations for the Sturm-Liouville boundary value problems with interior singularities. (English) Zbl 1145.34055 Q. Appl. Math. 65, No. 2, 375-383 (2007). Reviewer: Pavel Rehak (Brno) MSC: 34L20 34B20 34E20 34E05 33C15 34B24 PDFBibTeX XMLCite \textit{T. M. Acho}, Q. Appl. Math. 65, No. 2, 375--383 (2007; Zbl 1145.34055) Full Text: DOI
Rothwell, E. J. Computation of the logarithm of Bessel functions of complex argument. (English) Zbl 1081.65026 Commun. Numer. Methods Eng. 21, No. 10, 597-605 (2005). MSC: 65D20 33C10 33F05 78A45 PDFBibTeX XMLCite \textit{E. J. Rothwell}, Commun. Numer. Methods Eng. 21, No. 10, 597--605 (2005; Zbl 1081.65026) Full Text: DOI
Larsson, B.; Levitina, T.; Brändas, E. J. Eigenfunctions of the 2D finite Fourier transform. (English) Zbl 1066.65163 J. Comput. Methods Sci. Eng. 4, No. 1-2, 135-148 (2004). MSC: 65T40 34L16 65L15 33E10 PDFBibTeX XMLCite \textit{B. Larsson} et al., J. Comput. Methods Sci. Eng. 4, No. 1--2, 135--148 (2004; Zbl 1066.65163)
Miranian, L. Slepian functions on the sphere, generalized Gaussian quadrature rule. (English) Zbl 1065.65100 Inverse Probl. 20, No. 3, 877-892 (2004). MSC: 65L15 65T40 94A08 41A55 94A12 33C55 34L16 34A55 PDFBibTeX XMLCite \textit{L. Miranian}, Inverse Probl. 20, No. 3, 877--892 (2004; Zbl 1065.65100) Full Text: DOI Link
Acho, Thomas M. A matching technique and structure theorems for Sturm-Liouville boundary value problems with interior singularities. (English) Zbl 1038.34026 Quaest. Math. 25, No. 3, 275-287 (2002). MSC: 34B24 34L20 34E20 33C10 33C15 34E05 PDFBibTeX XMLCite \textit{T. M. Acho}, Quaest. Math. 25, No. 3, 275--287 (2002; Zbl 1038.34026) Full Text: DOI
Bergkvist, Tanja; Rullgård, Hans On polynomial eigenfunctions for a class of differential operators. (English) Zbl 1016.34083 Math. Res. Lett. 9, No. 2-3, 153-171 (2002). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L20 47E05 30C15 34M30 30C10 33C45 PDFBibTeX XMLCite \textit{T. Bergkvist} and \textit{H. Rullgård}, Math. Res. Lett. 9, No. 2--3, 153--171 (2002; Zbl 1016.34083) Full Text: DOI
Khonina, S. N.; Volotovskij, S. G.; Soifer, V. A. A method for computing the eigenvalues of prolate spheroidal functions of zero order. (English. Russian original) Zbl 1046.65114 Dokl. Math. 63, No. 1, 136-138 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 1, 30-32 (2001). MSC: 65R20 45C05 33F05 33E10 65D20 PDFBibTeX XMLCite \textit{S. N. Khonina} et al., Dokl. Math. 63, No. 1, 30--32 (2001; Zbl 1046.65114); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 1, 30--32 (2001)
Ruijsenaars, S. N. M. Relativistic Lamé functions revisited. (English) Zbl 1033.39004 J. Phys. A, Math. Gen. 34, No. 48, 10595-10612 (2001). Reviewer: P. Magal (Le Havre) MSC: 39A10 81R50 33D80 37J05 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, J. Phys. A, Math. Gen. 34, No. 48, 10595--10612 (2001; Zbl 1033.39004) Full Text: DOI Link
Álvarez, Gabriel; Howls, Christopher J.; Silverstone, Harris J. Connection formula, hyperasymptotics, and Schrödinger eigenvalues: Dispersive hyperasymptotics and the anharmonic oscillator. (English) Zbl 0990.34073 Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30-December 5, 1998. Kyoto: Kyoto University Press. 121-134 (2000). Reviewer: Shun Shimomura (Yokohama) MSC: 34L40 34E05 34L20 33C10 81Q05 PDFBibTeX XMLCite \textit{G. Álvarez} et al., in: Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30--December 5, 1998. Kyoto: Kyoto University Press. 121--134 (2000; Zbl 0990.34073)
Redparth, P. Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime. arXiv:math/0003044 Preprint, arXiv:math/0003044 [math.SP] (2000). MSC: 47E05 34L20 34L40 33C10 34M40 BibTeX Cite \textit{P. Redparth}, ``Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime'', Preprint, arXiv:math/0003044 [math.SP] (2000) Full Text: arXiv
Bavnick, H.; Koekoek, J. Differential operators having symmetric orthogonal polynomials as eigenfunctions. (English) Zbl 0938.34074 J. Comput. Appl. Math. 106, No. 2, 369-393 (1999). Reviewer: L.Elsner (Bielefeld) MSC: 34L20 34A35 33C45 PDFBibTeX XMLCite \textit{H. Bavnick} and \textit{J. Koekoek}, J. Comput. Appl. Math. 106, No. 2, 369--393 (1999; Zbl 0938.34074) Full Text: DOI
Holl, Peter Computation of the HOUGH-functions by numerical integration of their differential equations. (Berechnung der HOUGH-Funktionen durch numerische Integration ihrer Differentialgleichungen.) (German) Zbl 0952.65059 Nachr. Akad. Wiss. Gött., II. Math.-Phys. Kl. 1998, No. 2, 57-76 (1998). MSC: 65L15 33C47 86A05 86-08 65D20 34B30 34L15 34L10 PDFBibTeX XMLCite \textit{P. Holl}, Nachr. Akad. Wiss. Gött., II. Math.-Phys. Kl. 1998, No. 2, 57--76 (1998; Zbl 0952.65059)
Dubrovskij, V. V. Asymptotics of eigenvalues of a singular differential operator of Gegenbauer type. (Russian. English summary) Zbl 0905.34066 Vestsi Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 1997, No. 1, 24-28 (1997). Reviewer: T.Regińska (Warszawa) MSC: 34L20 33C45 PDFBibTeX XMLCite \textit{V. V. Dubrovskij}, Vestsi Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 1997, No. 1, 24--28 (1997; Zbl 0905.34066)
Ritter, Stefan On the magnetostatic integral operator for ellipsoids. (English) Zbl 0879.45002 J. Math. Anal. Appl. 207, No. 1, 12-28 (1997). Reviewer: S.Christiansen (Lyngby) MSC: 45C05 45E10 78A30 33E10 PDFBibTeX XMLCite \textit{S. Ritter}, J. Math. Anal. Appl. 207, No. 1, 12--28 (1997; Zbl 0879.45002) Full Text: DOI
Guimarães, L. G. Explicit asymptotic formulae for the spheroidal angular eigenvalues. (English) Zbl 0859.34067 J. Phys. A, Math. Gen. 28, No. 8, L233-L237 (1995). MSC: 34L40 33E10 34L20 PDFBibTeX XMLCite \textit{L. G. Guimarães}, J. Phys. A, Math. Gen. 28, No. 8, L233--L237 (1995; Zbl 0859.34067) Full Text: DOI
Reuster, D.; Kaye, M. A technique for developing complete orthonormal basis sets using general solutions of Bessel’s differential equation. (English) Zbl 0774.65063 Appl. Math. Comput. 55, No. 2-3, 255-264 (1993). Reviewer: M.Bartušek (Brno) MSC: 65L15 65D20 65L10 34B30 33C10 34L10 PDFBibTeX XMLCite \textit{D. Reuster} and \textit{M. Kaye}, Appl. Math. Comput. 55, No. 2--3, 255--264 (1993; Zbl 0774.65063) Full Text: DOI
Lévai, G. A class of exactly solvable potentials related to the Jacobi polynomials. (English) Zbl 0728.34092 J. Phys. A, Math. Gen. 24, No. 1, 131-146 (1991). Reviewer: H.Exton (Dunrossness) MSC: 34L40 34A05 33C45 81Q05 PDFBibTeX XMLCite \textit{G. Lévai}, J. Phys. A, Math. Gen. 24, No. 1, 131--146 (1991; Zbl 0728.34092) Full Text: DOI
Makarewicz, Jan Computation of generalised spheroidal eigenfunctions and eigenvalues. (English) Zbl 0712.65077 J. Phys. A, Math. Gen. 22, No. 18, 4089-4097 (1989). Reviewer: E.Lanckau MSC: 65L15 65F15 65D20 34L15 33C55 PDFBibTeX XMLCite \textit{J. Makarewicz}, J. Phys. A, Math. Gen. 22, No. 18, 4089--4097 (1989; Zbl 0712.65077) Full Text: DOI
Debiard, Amédée; Gaveau, Bernard Analysis on root systems. (English) Zbl 0647.22004 Can. J. Math. 39, No. 6, 1281-1404 (1987). Reviewer: A.Onishchik MSC: 22E30 33C80 53C35 PDFBibTeX XMLCite \textit{A. Debiard} and \textit{B. Gaveau}, Can. J. Math. 39, No. 6, 1281--1404 (1987; Zbl 0647.22004) Full Text: DOI
Kerimkulov, S. E. An eigenvalue problem for an equation of mixed type. (Russian) Zbl 0626.35071 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1986, No. 5(132), 20-23 (1986). Reviewer: N.Vulchanov MSC: 35P15 35M99 33C60 PDFBibTeX XMLCite \textit{S. E. Kerimkulov}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1986, No. 5(132), 20--23 (1986; Zbl 0626.35071)
Hejhal, Dennis A. The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2. (English) Zbl 0543.10020 Lecture Notes in Mathematics. 1001. Berlin-Heidelberg-New York-Tokyo; Springer-Verlag. VIII, 806 p. DM 89.00; $ 35.40 (1983). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 11-02 11Fxx 30F35 35Pxx 11F03 11F11 11F12 11F67 11M35 35P10 35P15 35P20 58J50 33C05 PDFBibTeX XML
Carroll, Robert W. Transmutation and separation of variables. (English) Zbl 0406.34034 Appl. Anal. 8, 253-263 (1979). MSC: 34L99 35P10 42C05 44A05 44A20 33C45 PDFBibTeX XMLCite \textit{R. W. Carroll}, Appl. Anal. 8, 253--263 (1979; Zbl 0406.34034) Full Text: DOI