Applications of the operator \(H(\alpha ,\beta )\) to the Humbert double hypergeometric functions

DOI10.1016/J.CAMWA.2010.12.012zbMath1217.33011OpenAlexW2060900493MaRDI QIDQ552194

Anvar Hasanov, Junesang Choi

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.012

zbMATH Keywords

integral representationsgeneralized hypergeometric functionsmultiple hypergeometric functionsKampé de Fériet functionsdecomposition formulasHumbert hypergeometric functionsinverse pairs of symbolic operatorsMellin-Barnes contour integral representations

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (10)

Exact solutions of the thin beam with degrading hysteresis behavior ⋮ On decomposition formulas related to the Gaussian hypergeometric functions in three variables ⋮ Some results on the telegraph process driven by gamma components ⋮ Unnamed Item ⋮ Hypergeometric expansions of solutions of the degenerating model parabolic equations of the third order ⋮ On integral representations and asymptotics of some hypergeometric functions in two variables ⋮ Some formulas for new quadruple hypergeometric functions ⋮ SOME PROPERTIES OF HORN TYPE SECOND ORDER DOUBLE HYPERGEOMETRIC SERIES ⋮ Krylov complexity and orthogonal polynomials ⋮ ON SOME FORMULAS FOR THE GENERALIZED APPELL TYPE FUNCTIONS

Cites Work

• Some reduction and transformation formulas for the Appell hypergeometric function \(F_{2}\)
• Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\)
• Generalized hypergeometric functions with applications in statistics and physical sciences
• Decomposition formulas associated with the Lauricella multivariable hypergeometric functions
• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• Theory of an Electromagnetically Levitated Metal Sphere I: Absorbed Power
• Generalised hypergeometric series^NF (x₁,...,x_N) arising in physical and quantum chemical applications
• Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)
• EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS
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