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Erdelyi, A. Magnus, Oberhettinger,F. and Tricomi, F. G., Higher Transcendental Functions, Table of integral Transforms Tome II New York, Toronto, London, INC 1954.

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Article

Finding Formulas Involving Hypergeometric Functions by Evaluating and Comparing the Multipliers of the Laplacian on IRn

1Universite des Sciences, Technologie et de la Medecine(USTM) Faculte des Sciences et Techniques


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 4, 72-78
DOI: 10.12691/ijpdea-2-4-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Mohamed Vall Ould Moustapha. Finding Formulas Involving Hypergeometric Functions by Evaluating and Comparing the Multipliers of the Laplacian on IRn. International Journal of Partial Differential Equations and Applications. 2014; 2(4):72-78. doi: 10.12691/ijpdea-2-4-3.

Correspondence to: Mohamed  Vall Ould Moustapha, Universite des Sciences, Technologie et de la Medecine(USTM) Faculte des Sciences et Techniques. Email: khames@ustm.mr

Abstract

In this work we give exact formulas for some spectral multipliers of Laplacian on the Euclidian space IRn. By comparing these multipliers we find old and new formulas involving hypergeometric functions.

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