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

Ankit Pal ^[1] ; R. K. Jana ^[1] ; Juan J. Nieto ^[2] ; A. K. Shukla ^[1]
1. [1] National Institute Of Technology
  
  National Institute Of Technology
  
  Japón
2. [2] Universidade de Santiago de Compostela
  
  Universidade de Santiago de Compostela
  
  Santiago de Compostela, España
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 1, 2023, págs. 159-173
Idioma: inglés
DOI: 10.1007/s40324-021-00274-x
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Resumen
- 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.