CHURCHILL'S DIFFUSION AND EULER TYPE INTEGRAL INVOLVING AN I*-FUNCTION By Prachi Jain* and V. P. Saxena Sagar Institute of Research, Technology and Science Ayodhya Bye-pass Road, Bhopal - 462041 India Email:prachi.jain2804@gmail.com*, vinodpsaxena@gmail.com (Received : August 02, 2019 ; Revised: November 18, 2019) Abstract In this paper, we obtain an Euler type integral involving an I*- function with products of a general class of polynomials and exponential function. Then, we use it to express the Churchill's diffusion in terms of a series consisting of the coefficients of that general class of polynomials with a sequence of I*- functions. Certain particular cases are also discussed. 2010 Mathematics Subject Classification: 33C45, 33C60 Keywords and phrases: An I* - function, Churchill's diffusion, a general class of polynomials, Gould and Hopper polynomials |
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