International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2014, 2(4), 72-78
DOI: 10.12691/ijpdea-2-4-3
Open AccessArticle

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

Mohamed Vall Ould Moustapha1,

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

Pub. Date: October 23, 2014

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

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.

Keywords:
hypergeometric function heat kernel wave kernel resolvent kernel laplace kernel hankel transform multiplier

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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