On fractional calculus operator N^{\ni_1,\ni_2} and p-transformation

Authors

  • Manju Purohit
  • C. L. Parihar
  • Madhu Tiwari

Keywords:

Fractional and partial differintegration, Abelian product group, Abelian product semigroup, N-transformation

Abstract

In this paper, the set {N^{ν1 ν2} } of fractional calculus is discussed. It is shown that the set is an Abelian product group for f(z1 , z2 ) = f ∈ F={ f ; 0 \ne |f_{ ν1ν2} | < ∞, ν1, ν2 ∈ R} with continuous indexes ν1 , ν2 , [1]. A new P-transformation is being introduced for the functions of two variables.

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Published

2004-02-01

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Section

Articoli