Vol. 20 (2010)
Articles

Images of certain special functions pertaining to multiple Erdélyi-Kober operator of Weyl type

V. B. L. Chaurasia
Department of Mathematics, University of Rajasthan, Jaipur - 302055, India.
Ravi Shanker Dubey
Department of Mathematics, Yagyavalkya Institute of Technology Jaipur-302022, India.

Publicado 2009-09-09

Palabras clave

  • Multivariable H-function,
  • Erd´elyi-Kober operator,
  • Saigo operator,
  • Fractional calculus,
  • Jacobi polynomials,
  • Series representation of the H-function.
  • ...Más
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Cómo citar

Images of certain special functions pertaining to multiple Erdélyi-Kober operator of Weyl type. (2009). Scientia, 20, 37-43. https://revistas.usm.cl/scientia/article/view/150

Resumen

The aim in this paper is to establish the images of the product of certain special functions with \(z^h(\mu^x + \nu^x)^{-\rho}\) as an argument pertaining to the multiple Erd\'elyi-Kober operator due to Galu\'e et al. The results encompass several cases of interest for Riemann-Liouville operators, Erd\'elyi- Kober operator and Saigo operators etc. involving the product of certain special function of general argument.

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