Some results on the pRq (λ, μ; z) function involving Pathway fractional integral operator and statistical distribution

  1. Ankit Pal 1
  2. R. K. Jana 1
  3. Juan J. Nieto 2
  4. A. K. Shukla 1
  1. 1 Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology
  2. 2 Department of Mathematical Analysis, Faculty of Mathematics, University of Santiago de Compostela
Revista:
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

ISSN: 2281-7875

Ano de publicación: 2023

Volume: 80

Número: 1

Páxinas: 159-173

Tipo: Artigo

DOI: 10.1007/S40324-021-00274-X DIALNET GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

Resumo

This paper addresses some fractional integral properties of the R-function using Pathway fractional integral operator. We also establish some results in terms of product of two functions using the Hadamard product of two functions. Further, we determine the type-1 and type-2 Pathway transform of R-function and results are represented in terms of H-function. Finally, an application to the statistical distribution is presented.

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