Eulerian intergral formulas and associated fractional integration

Main Article Content

Mridula Garg
Mridula Purohit

Abstract

In the present paper, we evaluate two unified Eulerian integrals whose integrands involve the product of a general class of multivariable polynomials and the multivariable $ {\bf H}$-function. The results obtained here provide interesting unifications and extensions of several known [eg. [9], [11], [12], [18], [21], etc.] and new results. We have given two new special cases which are also sufficiently general in nature and of interest in themselves. As an application, one of the result has also been expressed as fractional integral which would provide useful generalization of known results in the theory of fractional calculus.

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How to Cite
Garg, M., & Purohit, M. (2000). Eulerian intergral formulas and associated fractional integration. Tamkang Journal of Mathematics, 31(3), 203–212. https://doi.org/10.5556/j.tkjm.31.2000.394
Section
Papers
Author Biography

Mridula Garg

Department of Mathematics, University of Rajasthan, Jaipur - 302004, Rajasthan, India.