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.
Sirazul Haq, Abdul Hakim Khan, Kottakkaran Sooppy Nisar
Aligarh Muslim University; Aligarh Muslim University; Prince Sattam bin Abdulaziz University
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
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