East Asian mathematical journal
- Volume 21 Issue 2
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- Pages.191-203
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- 2005
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
ON GENERALIZED WRIGHT'S HYPERGEOMETRIC FUNCTIONS AND FRACTIONAL CALCULUS OPERATORS
- Raina, R.K. (Department of Mathematics, M.P. University of Agri. and Technology College of Technology and Engineering)
- Published : 2005.12.31
Abstract
In the present paper we first establish some basic results for a substantially more general class of functions defined below. The results include simple differentiation and fractional calculus operators(integration and differentiation of arbitrary orders) for this class of functions. These results are then invoked in determining similar properties for the generalized Wright's hypergeometric functions. Further, norm estimate of a certain class of integral operators whose kernel involves the generalized Wright's hypergeometric function, and its composition(and other related properties) with the fractional calculus operators are also investigated.
Keywords
- Generalized hypergeometric function;
- generalized Mittag-Leffler function;
- fractional calculus operators