Eulerian integrals involving multivariable generalized hypergeometric functions
Eulerian integrals involving multivariable generalized hypergeometric functions
Summary: In the present paper we derive a number of key Eulerian integrals involving the \(H\)-function of several complex variables. Some of these key formulas could provide potentially useful generalizations of some known as well as of some new results for various families of generalized hypergeometric functions of several variables in the theory of Eulerian integrals and fractional calculus.
Integral operators, Other hypergeometric functions and integrals in several variables, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Generalized hypergeometric series, \({}_pF_q\), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), \(H\)-functions of two variables, Integro-differential operators, Gamma, beta and polygamma functions
Integral operators, Other hypergeometric functions and integrals in several variables, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Generalized hypergeometric series, \({}_pF_q\), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), \(H\)-functions of two variables, Integro-differential operators, Gamma, beta and polygamma functions
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