CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION

DOI10.5831/HMJ.2019.41.1.1zbMath1426.33032OpenAlexW3047448507MaRDI QIDQ5241284

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Publication date: 30 October 2019

Full work available at URL: https://koreascience.or.kr/article/JAKO201910537995555.page

zbMATH Keywords

hypergeometric function\(H\)-functionMellin-Barnes type contour integral\(I\)-functionaleph function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

FINITE INTEGRAL FORMULA INVOLVING ALEPH–FUNCTION AND GENERALIZED MITTAG–LEFFLER FUNCTION ⋮ Finite integral formulas involving multivariable Aleph-functions ⋮ Unnamed Item ⋮ The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals

Cites Work

• Generalized fractional calculus of the aleph-function involving a general class of polynomials
• On fractional integration formulae for Aleph functions
• The H-Function
• CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
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