Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations

Autor: Ruma Qamar, Tabinda Nahid, Mumtaz Riyasat, Naresh Kumar, Anish Khan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: AIMS Mathematics, Vol 5, Iss 5, Pp 4613-4623 (2020)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2020296/fulltext.html
Popis: The paper performs an investigation on the new class of functions, namely the GouldHopper-Bessel matrix functions and Gould-Hopper-Tricomi matrix functions via operational methods. The generating functions, operational representations and connection formulae are established. The generalized forms of the Gould-Hopper-Bessel matrix and Gould-Hopper-Tricomi matrix functions are introduced using integral transform. Several important properties related to these functions are also deduced.
Databáze: Directory of Open Access Journals