Expressions of the Laguerre polynomial and some other special functions in terms of the generalized Meijer G-functions

Abstract

In this paper, we investigate the relation of generalized Meijer G-functions with some other special functions. We prove the generalized form of Laguerre polynomials, product of Laguerre polynomials with exponential functions, logarithmic functions in terms of generalized Meijer G-functions. The generalized confluent hypergeometric functions and generalized tricomi confluent hypergeometric functions are also expressed in terms of the generalized Meijer G-functions.

Keywords

• meijer g-function
• generalized meijer g-function
• laguerre polynomial
• hypergeometric function
• confluent hypergeometric function