On fractional integration formulae for Aleph functions
From MaRDI portal
Publication:648250
DOI10.1016/j.amc.2011.03.026zbMath1242.33021OpenAlexW2157893421MaRDI QIDQ648250
Tibor K. Pogány, Ram Kishore Saxena
Publication date: 22 November 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.026
\(H\)-functionMittag-Leffler functionsRiemann-Liouville fractional integral\(I\)-function\(\aleph\)-functionMellin-Barnes type integrals
Fractional derivatives and integrals (26A33) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (5)
Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel \(F_3\) ⋮ CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION ⋮ Unnamed Item ⋮ Finite integral formulas involving multivariable Aleph-functions ⋮ Some integrals involving \(\aleph\)-functions and Laguerre polynomials
Cites Work
- 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
- Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
- The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
- The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
- Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals.
- Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
- The G and H Functions as Symmetrical Fourier Kernels
- The H function associated with a certain class of Feynman integrals
- New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae
- New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
- Operators of fractional integration and their applications
This page was built for publication: On fractional integration formulae for Aleph functions