Jñānābha, Vol. 49 (2) (2019), 113-119
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