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.

Published 2009-09-09

Keywords

  • Multivariable H-function,
  • Erd´elyi-Kober operator,
  • Saigo operator,
  • Fractional calculus,
  • Jacobi polynomials,
  • Series representation of the H-function.
  • ...More
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How to Cite

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

Abstract

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 Erdélyi-Kober operator due to Galué et al.

The results encompass several cases of interest for Riemann-Liouville operators,  Erdélyi- Kober operator and Saigo operators etc. involving the product of certain special function of general argument.

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