Science and Education Publishing International Journal of Partial Differential Equations and Applications 2 4 2014 10 23 Finding Formulas Involving Hypergeometric Functions by Evaluating and Comparing the Multipliers of the Laplacian on IRn 72 78 EN Mohamed Vall Ould Moustapha Universite des Sciences, Technologie et de la Medecine(USTM) Faculte des Sciences et Techniques IJPDEA2014243 10.12691/ijpdea-2-4-3 2014 10 10 2014 10 20 2014 10 23 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.