Expressions of the Laguerre polynomial and some other special functions in terms of the generalized Meijer $ G $-functions
| Autor: | Shahid Mubeen, Syed Ali Haider Shah |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Logarithm Confluent hypergeometric function meijer g-function General Mathematics Mathematics::Classical Analysis and ODEs hypergeometric function confluent hypergeometric function laguerre polynomial Exponential function generalized meijer g-function Meijer G-function Special functions Product (mathematics) QA1-939 Laguerre polynomials Hypergeometric function Mathematics |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 11, Pp 11631-11641 (2021) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021676 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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