Certain q-Polynomial Expansions for Functions of Several Variables
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Publication:4740178
DOI10.1093/imamat/30.3.315zbMath0504.33003OpenAlexW2562563358MaRDI QIDQ4740178
Publication date: 1983
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imamat/30.3.315
q-hypergeometric functions of one and more variablesq-polynomial expansionsq-extension of hypergeometric generating function
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55)
Related Items (12)
Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials ⋮ The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of bi-close-to-convex functions connected with the \(q\)-convolution ⋮ New subclass of analytic function involving \(q\)-Mittag-Leffler function in conic domains ⋮ A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials ⋮ nth-Order q-derivatives of multivariable q-hypergeometric series with respect to parameters ⋮ Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ Recursion formulas for Srivastava's general triple \(q\)-hypergeometric series ⋮ \(q\)-extension of a multivariable and multiparameter generalization of the Gottlieb polynomials in several variables ⋮ Some formulas involving q-Jacobi and related polynomials ⋮ Summation, Transformation, and Expansion Formulas for Bibasic Series ⋮ Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution
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