Integral transforms of the Mellin convolution type and their generating operators

DOI10.1080/10652460802091617zbMath1168.44001OpenAlexW2066248978MaRDI QIDQ3544283

Yu. F. Luchko

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1080/10652460802091617

zbMATH Keywords

Laplace transformMellin transformintegral transformsintegral equationsspecial functions\(H\)-function\(G\)-functionoperational calculusgenerating operator\(H\)-transformErdélyi-Kober integralErdélyi-Kober derivativeMellin convolution type

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Integral transforms of special functions (44A20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical operational calculus (44A45)

Related Items (12)

Decompositions of weighted conditional expectation type operators ⋮ Fractional and integer derivatives with continuously distributed lag ⋮ A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals ⋮ Transmutations of the Composed Erdélyi-Kober Fractional Operators and Their Applications ⋮ On properties of multiplication conditional type operators between Lp-space ⋮ The probabilistic point of view on the generalized fractional partial differential equations ⋮ An extension of Wright function and its properties ⋮ Operational properties of the Hartley convolution and its applications ⋮ New convolutions associated with the Mellin transform and their applications in integral equations ⋮ Multi-parametric Mittag-Leffler functions and their extension ⋮ The Mellin integral transform in fractional calculus ⋮ Exact solution of two-term time-fractional Thornley's problem by operational method

Cites Work

• Operational calculus. A theory of hyperfunctions. Transl. from the Japanese
• The exact solution of certain differential equations of fractional order by using operational calculus
• Generalized hypergeometric functions with applications in statistics and physical sciences
• The special functions and their approximations. Vol. I, II
• Some Classes of Watson Transforms and Related Integral Equations for Generalized Functions
• Operationl method for solving generalized abel integral equation of second kind
• ON FRACTIONAL INTEGRALS AND DERIVATIVES
• What is the Laplace Transform?
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integral transforms of the Mellin convolution type and their generating operators