A PAIR OF UNSYMMETRRICAL FOURIER KERNELS INVOLVING I-FUNCTIONS

R. Jain; D.K. Jain; P.K. Chaturvedi

R. Jain School of Mathematics and Allied Sciences Jiwaji University, Gwalior-474011, India

D.K. Jain Department of Applied Mathematics Madhav Institute of Technology and Science, Gwalior-474011, India

P.K. Chaturvedi Department of Mathematics Rishi Galav College, Morena-476001, India

Volume 6, Issue 1 Pages 105-110 December 12, 2007 200 downloads

Article overview

Abstract

In the present paper an attempt has been made to show that Ifunction and a finite sum of H-functions form a pair of unsymmetrical Fourier kernels under a specified set of conditions. The reciprocity has been established by the method of mean square convergence. In addition, a set of sufficient conditions for uniform convergence of the I-function has also been obtained as a concomitant result. Further, result obtained by Kesarwani [6,7] for unsymmetrical Fourier kernels follow as special cases.

Keywords and Phrases

Unsymmetrical Fourier kernelsH-functionI-functionMellin transform.

AMS Subject Classification

33E20.

Reference information

How to Cite

R. Jain, D.K. Jain, P.K. Chaturvedi (2007). A PAIR OF UNSYMMETRRICAL FOURIER KERNELS INVOLVING I-FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 6(1), 105-110.

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