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Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations
Journal article   Open access  Peer reviewed

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

Ruma Qamar, Tabinda Nahid, Mumtaz Riyasat, Naresh Kumar, Anish Khan, 1 Department of Mathematics, IFTM University, Moradabad, India and Abuzar Khan
AIMS mathematics, Vol.5(5), pp.4613-4623
01/01/2020
DOI: https://doi.org/10.3934/math.2020296

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The paper performs an investigation on the new class of functions, namely the Gould-Hopper-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.
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https://doi.org/10.3934/math.2020296View
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