Bairwa, R. K.; Singh, Karan An analytical study of space-time fractional order gas dynamic equations. (English) Zbl 07790462 Jñānābha 53, No. 2, 15-23 (2023). MSC: 33E12 26A33 35A22 35A24 35G25 PDFBibTeX XMLCite \textit{R. K. Bairwa} and \textit{K. Singh}, Jñānābha 53, No. 2, 15--23 (2023; Zbl 07790462) Full Text: DOI
Nguyen, Anh Tuan; Caraballo, Tomás; Tuan, Nguyen Huy On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative. (English) Zbl 1501.35443 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989-1031 (2022). Reviewer: Ismail Huseynov (Mersin) MSC: 35R11 26A33 33E12 35B40 35K30 35K58 PDFBibTeX XMLCite \textit{A. T. Nguyen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989--1031 (2022; Zbl 1501.35443) Full Text: DOI arXiv
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
AL-Towailb, M. A. The solution of certain triple \(q\)-integral equations in fractional \(q\)-calculus approach. (English) Zbl 1413.45008 Arab J. Math. Sci. 25, No. 1, 17-28 (2019). MSC: 45F10 31B10 26A33 33D45 PDFBibTeX XMLCite \textit{M. A. AL-Towailb}, Arab J. Math. Sci. 25, No. 1, 17--28 (2019; Zbl 1413.45008) Full Text: DOI
Heydari, M. H.; Avazzadeh, Z. An operational matrix method for solving variable-order fractional biharmonic equation. (English) Zbl 1402.65125 Comput. Appl. Math. 37, No. 4, 4397-4411 (2018). MSC: 65M70 41A35 26A33 33C47 31B30 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Comput. Appl. Math. 37, No. 4, 4397--4411 (2018; Zbl 1402.65125) Full Text: DOI
Szmytkowski, Radosław On the derivatives \(\partial^2P_\nu(z)/\partial\nu^2\) and \(\partial Q_\nu(z)/\partial\nu\) of the Legendre functions with respect to their degrees. (English) Zbl 1376.33006 Integral Transforms Spec. Funct. 28, No. 9, 645-662 (2017). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 33C05 33B30 PDFBibTeX XMLCite \textit{R. Szmytkowski}, Integral Transforms Spec. Funct. 28, No. 9, 645--662 (2017; Zbl 1376.33006) Full Text: DOI arXiv
Damelin, S. B. A Koksma-Hlawka-Potential Identity on the \(d\) Dimensional Sphere and its Applications to Discrepancy. arXiv:1707.08929 Preprint, arXiv:1707.08929 [math.CA] (2017). MSC: 11K36 65D32 41A35 41A63 26D10 11E12 31A05 31B15 33C55 BibTeX Cite \textit{S. B. Damelin}, ``A Koksma-Hlawka-Potential Identity on the $d$ Dimensional Sphere and its Applications to Discrepancy'', Preprint, arXiv:1707.08929 [math.CA] (2017) Full Text: arXiv OA License
Boyadzhiev, Khristo N. A note on the higher derivatives of the function \(1/(\exp(x)-1)\). (English) Zbl 1357.26008 Adv. Appl. Discrete Math. 17, No. 4, 461-466 (2016). MSC: 26A24 11B68 33B10 PDFBibTeX XMLCite \textit{K. N. Boyadzhiev}, Adv. Appl. Discrete Math. 17, No. 4, 461--466 (2016; Zbl 1357.26008) Full Text: DOI arXiv
Boyadzhiev, Khristo N. Lah numbers, Laguerre polynomials of order negative one, and the \(n\)th derivative of \(\exp(1/x)\). (English) Zbl 1398.11108 Acta Univ. Sapientiae, Math. 8, No. 1, 22-31 (2016). MSC: 11M06 33B15 PDFBibTeX XMLCite \textit{K. N. Boyadzhiev}, Acta Univ. Sapientiae, Math. 8, No. 1, 22--31 (2016; Zbl 1398.11108) Full Text: DOI
D’Ovidio, Mirko; Orsingher, Enzo; Sakhno, Ludmila Spectral densities related to some fractional stochastic differential equations. (English) Zbl 1343.60071 Electron. Commun. Probab. 21, Paper No. 18, 15 p. (2016). MSC: 60H10 60G15 26A33 33C10 PDFBibTeX XMLCite \textit{M. D'Ovidio} et al., Electron. Commun. Probab. 21, Paper No. 18, 15 p. (2016; Zbl 1343.60071) Full Text: DOI arXiv Euclid
Doungmo Goufo, Emile Franc A biomathematical view on the fractional dynamics of cellulose degradation. (English) Zbl 1316.26004 Fract. Calc. Appl. Anal. 18, No. 3, 554-564 (2015). MSC: 26A33 37N25 33E12 33C20 PDFBibTeX XMLCite \textit{E. F. Doungmo Goufo}, Fract. Calc. Appl. Anal. 18, No. 3, 554--564 (2015; Zbl 1316.26004) Full Text: DOI
Belbachir, Hacène; Rahmani, Mourad An integral inequality for \(n\)-convex functions. (English) Zbl 1238.26018 Math. Inequal. Appl. 15, No. 1, 117-126 (2012). MSC: 26D15 26D10 33C45 PDFBibTeX XMLCite \textit{H. Belbachir} and \textit{M. Rahmani}, Math. Inequal. Appl. 15, No. 1, 117--126 (2012; Zbl 1238.26018) Full Text: DOI
Cohl, Howard S. Derivatives with respect to the degree and order of associated Legendre functions for \(|z|>1\) using modified Bessel functions. (English) Zbl 1195.31006 Integral Transforms Spec. Funct. 21, No. 7-8, 581-588 (2010). MSC: 31B05 31B10 33B10 33B15 33C05 33C10 PDFBibTeX XMLCite \textit{H. S. Cohl}, Integral Transforms Spec. Funct. 21, No. 7--8, 581--588 (2010; Zbl 1195.31006) Full Text: DOI arXiv
Simsek, Yilmaz; Açıkgöz, Mehmet A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function. (English) Zbl 1185.33013 Abstr. Appl. Anal. 2010, Article ID 769095, 12 p. (2010). MSC: 33D45 05A15 11B73 11B68 41A10 PDFBibTeX XMLCite \textit{Y. Simsek} and \textit{M. Açıkgöz}, Abstr. Appl. Anal. 2010, Article ID 769095, 12 p. (2010; Zbl 1185.33013) Full Text: DOI arXiv
Slevinsky, Richard M.; Safouhi, Hassan New formulae for higher order derivatives and applications. (English) Zbl 1183.65024 J. Comput. Appl. Math. 233, No. 2, 405-419 (2009). Reviewer: Thomas Sonar (Braunschweig) MSC: 65D25 33C45 33F05 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, J. Comput. Appl. Math. 233, No. 2, 405--419 (2009; Zbl 1183.65024) Full Text: DOI
Charpentier, Isabelle; dal Cappello, Claude; Utke, Jean Efficient higher-order derivatives of the hypergeometric function. (English) Zbl 1152.65413 Bischof, Christian H. (ed.) et al., Advances in automatic differentiation. Selected papers based on the presentations at the 5th international conference on automatic differentiation, Bonn, Germany, August 11–15, 2008. Berlin: Springer (ISBN 978-3-540-68935-5/pbk). Lecture Notes in Computational Science and Engineering 64, 127-137 (2008). MSC: 65D20 33C05 33F05 65D25 PDFBibTeX XMLCite \textit{I. Charpentier} et al., Lect. Notes Comput. Sci. Eng. 64, 127--137 (2008; Zbl 1152.65413)
Wu, Shan-He; Srivastava, H. M.; Debnath, Lokenath Some refined families of Jordan-type inequalities and their applications. (English) Zbl 1147.26017 Integral Transforms Spec. Funct. 19, No. 3, 183-193 (2008). Reviewer: V. Lokesha (Bangalore) MSC: 26D15 26D05 26D07 33B10 PDFBibTeX XMLCite \textit{S.-H. Wu} et al., Integral Transforms Spec. Funct. 19, No. 3, 183--193 (2008; Zbl 1147.26017) Full Text: DOI
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions. (English) Zbl 1172.11026 Integral Transforms Spec. Funct. 17, No. 11, 817-827 (2006). MSC: 11M35 26A33 33C05 11B68 11B73 PDFBibTeX XMLCite \textit{S.-D. Lin} et al., Integral Transforms Spec. Funct. 17, No. 11, 817--827 (2006; Zbl 1172.11026) Full Text: DOI
Graczyk, Piotr; Loeb, Jean-J.; López P., Iris A.; Nowak, Adam; Urbina R., Wilfredo O. Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions. (English) Zbl 1129.42015 J. Math. Pures Appl. (9) 84, No. 3, 375-405 (2005). MSC: 42C15 42C10 26A33 46E35 47D06 33C99 PDFBibTeX XMLCite \textit{P. Graczyk} et al., J. Math. Pures Appl. (9) 84, No. 3, 375--405 (2005; Zbl 1129.42015) Full Text: DOI
Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis On the solution of fractional evolution equations. (English) Zbl 1059.35030 J. Phys. A, Math. Gen. 37, No. 9, 3271-3283 (2004). MSC: 35G10 26A33 33E12 35C05 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., J. Phys. A, Math. Gen. 37, No. 9, 3271--3283 (2004; Zbl 1059.35030) Full Text: DOI
Nishimoto, Katsuyuki N-fractional calculus of the power and logarithmic functions and some identities (Continue). (English) Zbl 1129.26301 J. Fractional Calc. 22, 59-65 (2002). MSC: 26A33 33B10 33B30 45P05 47G10 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 22, 59--65 (2002; Zbl 1129.26301)
Saxena, R. K.; Saigo, Megumi An integral equation containing product of Gauss hypergeometric function and the \(H\)-function in the kernel. (English) Zbl 0959.45001 J. Fractional Calc. 17, 103-114 (2000). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 45H05 26A33 45E10 33C60 33C90 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{M. Saigo}, J. Fractional Calc. 17, 103--114 (2000; Zbl 0959.45001)
Tu, Shih-Tong; Nishimoto, Katsuyuki; Lin, Shy-Der Extension of general second order differential equations of Fuchs type to the higher order by fractional calculus method. (English) Zbl 0787.34006 Kalia, R. N. (ed.), Recent advances in fractional calculus. A collection of papers. Sauk Rapids, MN: Global Publishing Company. Global Research Notes Series in Mathematics. 236-247 (1993). MSC: 34A05 34A30 26A33 33C05 PDFBibTeX XMLCite \textit{S.-T. Tu} et al., in: Recent advances in fractional calculus. A collection of papers. Sauk Rapids, MN: Global Publishing Company. 236--247 (1993; Zbl 0787.34006)
Saigo, M. A generalization of fractional calculus. (English) Zbl 0616.26007 Fractional calculus, Proc. Workshop, Ross Priory, Univ. Strathclyde/Engl. 1984, Res. Notes Math. 138, 188-189 (1985). Reviewer: R.K.Raina MSC: 26A33 35G15 33C60 PDFBibTeX XML
Lowndes, J. S. On two new operators of fractional integration. (English) Zbl 0616.26006 Fractional calculus, Proc. Workshop, Ross Priory, Univ. Strathclyde/Engl. 1984, Res. Notes Math. 138, 87-98 (1985). Reviewer: R.K.Raina MSC: 26A33 35G15 33C10 PDFBibTeX XML
Mikolás, M. Integroderivierte komplexer Ordnung und spezielle Funktionen der mathematischen Physik. (Integro-derivatives of complex order and special functions of mathematical physics). (German) Zbl 0587.47053 Z. Angew. Math. Mech. 65, No. 5, 350-352 (1985). MSC: 47Gxx 26A33 33-XX PDFBibTeX XMLCite \textit{M. Mikolás}, Z. Angew. Math. Mech. 65, 350--352 (1985; Zbl 0587.47053)
Haggard, Paul W. On Legendre numbers. (English) Zbl 0576.10006 Int. J. Math. Math. Sci. 8, 407-411 (1985). Reviewer: R.Sitaramachandra Rao MSC: 11B39 33C55 PDFBibTeX XMLCite \textit{P. W. Haggard}, Int. J. Math. Math. Sci. 8, 407--411 (1985; Zbl 0576.10006) Full Text: DOI EuDML
Arias de Reyna Martínez, J. Definition and study of an infinitely differentiable function with compact support. (Spanish) Zbl 0598.26034 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 76, 21-38 (1982). MSC: 26E10 33E99 26A30 42A38 41A58 PDFBibTeX XMLCite \textit{J. Arias de Reyna Martínez}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 76, 21--38 (1982; Zbl 0598.26034) Full Text: EuDML