Research article

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

  • Received: 07 February 2020 Accepted: 12 May 2020 Published: 25 May 2020
  • MSC : 26A33, 33B10, 33C45

  • 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.

    Citation: Ruma Qamar, Tabinda Nahid, Mumtaz Riyasat, Naresh Kumar, Anish Khan. Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations[J]. AIMS Mathematics, 2020, 5(5): 4613-4623. doi: 10.3934/math.2020296

    Related Papers:

  • 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.


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