eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2014-10-23 2 4 72 78 10.12691/ijpdea-2-4-3 IJPDEA2014243 article Finding Formulas Involving Hypergeometric Functions by Evaluating and Comparing the Multipliers of the Laplacian on IRn Mohamed Vall Ould Moustapha khames@ustm.mr 1 Universite des Sciences, Technologie et de la Medecine(USTM) Faculte des Sciences et Techniques 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. http://pubs.sciepub.com/ijpdea/2/4/3/ijpdea-2-4-3.pdf hypergeometric function heat kernel wave kernel resolvent kernel laplace kernel hankel transform multiplier