Series identities and associated families of generating functions
Copyright policy )Series identities and associated families of generating functions
The authors present several double-series identities and apply these general results in order to deduce various reduction formulae involving hypergeometric functions in one and two variables. They also investigate some associated generating- function relationships involving certain classes of hypergeometric polynomials.
Hypergeometric functions and polynomials, Generalized hypergeometric series, \({}_pF_q\), hypergeometric functions and polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, series identities, Other special orthogonal polynomials and functions, double series identities, Generating functions, Other hypergeometric functions and integrals in several variables, Quadratic transformations, generating functions, Pfaff–Saalschütz theorem, Whipple's transformation, Series identities, hypergeometric functions in two variables, Analysis
Hypergeometric functions and polynomials, Generalized hypergeometric series, \({}_pF_q\), hypergeometric functions and polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, series identities, Other special orthogonal polynomials and functions, double series identities, Generating functions, Other hypergeometric functions and integrals in several variables, Quadratic transformations, generating functions, Pfaff–Saalschütz theorem, Whipple's transformation, Series identities, hypergeometric functions in two variables, Analysis
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