Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(1): 169-183

Online first article June 12, 2018      Printed January 31, 2019

https://doi.org/10.4134/CKMS.c170490

Copyright © The Korean Mathematical Society.

A study of new class of integrals associated with generalized Struve function and Polynomials

Sirazul Haq, Abdul Hakim Khan, Kottakkaran Sooppy Nisar

Aligarh Muslim University; Aligarh Muslim University; Prince Sattam bin Abdulaziz University

Abstract

The main aim of this paper is to establish a new class of integrals involving the generalized Galu\`e-type Struve function with the different type of polynomials such as Jacobi, Legendre, and Hermite. Also, we derive the integral formula involving Legendre, Wright generalized Bessel and generalized Hypergeometric functions. The results obtained here are general in nature and can deduce many known and new integral formulas involving the various type of polynomials.

Keywords: generalized Galu\`e-type Struve function, generalized hypergeometric function, Bessel-Maitland function, Jacobi polynomials, Hermite polynomials

MSC numbers: 33B20, 33C20, 26A33, 33C45