Int. J. Appl. Comput. Math DOI 10.1007/s40819-017-0410-9 ORIGINAL PAPER Class of Integrals Involving Generalized Hypergeometric Function and Srivastava’s Polynomials D. L. Suthar 1 · S. D. Purohit 2 · S. Agarwal 3 © Springer (India) Private Ltd. 2017 Abstract The purpose of present work is to investigate three definite integrals, concerning the generalized hypergeometric function together with the general class of Srivastava’s poly- nomials. Our theorems will reduces in known results for a particular values of parameters. Keywords Generalized hypergeometric functions · Srivastava’s polynomials · Definite integrals Mathematics Subject Classification 26A33 · 33C45 · 33C60 Introduction For our purpose, we lead by looking back on the following familiar results, introduced by Qureshi et al. [5, p. 77, Eq. (3.1)–(3.3)]:  ∞ 0   α x + β x  2 + γ  −μ−1 dx = √ π 2α(4αβ + γ) μ+1/2 Ŵ ( μ + 1 2 ) Ŵ (μ + 1) , (1) (α > 0; β ≥ 0; γ + 4αβ > 0;ℜ(μ) > −1/2). B S. D. Purohit sunil_a_purohit@yahoo.com D. L. Suthar dlsuthar@gmail.com S. Agarwal swetaagrawal021@gmail.com 1 Department of Mathematics, Wollo University, 1145 Dessie, South Wollo, Amhara Region, Ethiopia 2 Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, India 3 Department of Mathematics, Poornima University, Jaipur, India 123