Some iterated fractional \(q\)-integrals and their applications

DOI10.1515/FCA-2018-0036zbMath1403.05012OpenAlexW2884817335WikidataQ129500112 ScholiaQ129500112MaRDI QIDQ1711807

Peng Zhang

Publication date: 18 January 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2018-0036

zbMATH Keywords

Rogers-Szegő polynomialsmultilinear generating functionsAl-Salam-Carlitz polynomialsSrivastava-Agarwal type generating functionsbilinear generating functionsfractional \(q\)-identitiesfractional \(q\)-Leibniz formulaiterated fractional \(q\)-integralsRajković-Marinković-Stanković polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Fractional derivatives and integrals (26A33) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (11)

A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials ⋮ Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals ⋮ Integral inequalities of Hermite-Hadamard type for GA-\(F\)-convex functions ⋮ Jacobi's triple-product identity and an associated family of theta-function identities ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ Coordinated MT-\((s_1,s_2)\)-convex functions and their integral inequalities of Hermite-Hadamard type ⋮ Unnamed Item ⋮ A note on \(q\)-partial differential equations for generalized \(q\)-2D Hermite polynomials ⋮ A family of theta-function identities related to Jacobi's triple-product identity ⋮ A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity ⋮ On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity

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