Finite integrals associated with the product of orthogonal polynomials and Wright function

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) One-variable calculus (26A06)

Cites Work

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
The asymptotic expansion of generalized hypergeometric functions.
A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. 4th ed.
Über den Fundamentalsatz in der Theorie der Funktionen \(E_\alpha(x)\).
Sur la nouvelle fonction \(E_\alpha(x)\).
Computation of new class of integrals involving generalized Galue type Struve function
Some properties concerning the analysis of generalized Wright function
Certain integrals involving multivariate Mittag-Leffler function
Computation of certain integral formulas involving generalized Wright function
Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function
Finite integral formulas involving multivariable Aleph-functions
An extension of Wright function and its properties
SOME INTEGRALS ASSOCIATED WITH MULTIINDEX MITTAG-LEFFLER FUNCTIONS
CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS
Generalized Wright Function and Its Properties Using Extended Beta Function
Completeness of perturbed systems of trigonometric functions
Extende beta, hypergeometric and confluent hypergeometric functions
EVALUATION OF INTEGRAL FORMULAS ASSOCIATED WITH THE PRODUCT OF GENERALIZED BESSEL FUNCTION WITH ORTHOGONAL POLYNOMIALS
CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF BESSEL FUNCTIONS OF THE FIRST KIND
A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series

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