Lp-bounded operators involving generalized hypergeometric functions

DOI10.1080/10652469.2010.501555zbMath1210.45013OpenAlexW2069373751MaRDI QIDQ3074600

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Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2010.501555

zbMATH Keywords

Laplace transformboundednessconfluent hypergeometric functiongeneralized hypergeometric functionsErdelyi-Kober fractional integral operatorsfractional integral transformsLiouville and Kober fractional integrals

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Integral operators (45P05) Generalized hypergeometric series, ({}_pF_q) (33C20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• On The Meijer Transform In Space
• Generalized fractional integration of Bessel function of the first kind
• A note on a pair of integral operators involving Whittaker functions
• Generalized Fractional Integral Transforms with Gauss Function Kernels As G-Transforms
• An Inversion Integral for a Gegenbauer Transformation
• Bounded Linear Transformations in L_p Space
• Some Integral Equations Involving Hypergeometric Functions
• An Integral Equation Involving Legendre Functions
• ON FRACTIONAL INTEGRALS AND DERIVATIVES

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