Vol. 19 (2010)
Articles

Three dimensional generalized Weyl fractional calculus pertaining to three-dimensional \(H\) -Transform

V. B. L. Chaurasia
Department of Mathematics, University of Rajasthan, Jaipur - 302055, India
Monika Jain
Department of Mathematics, Yagyavalkya Institute of Technology Jaipur-302022, India.

Publicado 2010-08-11

Palabras clave

  • Lauricella function,
  • Multivariable H- functions,
  • Mellin transform.

Cómo citar

Three dimensional generalized Weyl fractional calculus pertaining to three-dimensional \(H\) -Transform. (2010). Scientia, 19, 57-68. https://revistas.usm.cl/scientia/article/view/139

Resumen

The aim of this paper is to evaluate certain triple integral relations involving H-function and the multivariable H-function. Next, we give three Theorems containing the product of H-function, with the help of our main findings and using the Mellin integral transform. The results obtained here are quite general in nature due to the presence of functions which are basic in nature. A large number of new results have been obtained by proper choice of parameter.

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