On the Laguerre fractional integro-differentiation

DOI10.1080/10652469.2020.1792900zbMath1476.44004arXiv2003.05335OpenAlexW3042861548MaRDI QIDQ4987897

Semyon B. Yakubovich

Publication date: 11 May 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05335

zbMATH Keywords

Mellin transformGauss hypergeometric functionLaguerre derivativedouble hypergeometric seriesfractional integro-differentiation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Implementation of fractional-order difference via Takenaka-Malmquist functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• New approaches to certain identities involving differential operators
• Operational methods, special polynomial and functions and solution of partial differential equations
• Stirling functions of first kind in the setting of fractional calculus and generalized differences

This page was built for publication: On the Laguerre fractional integro-differentiation