Simultaneous Triple Series Equations Associated With Laguerre Polynomials With Matrix Argument

Abstract

Integral and Series equations are  very useful in the theory of  elasticity, elastostatics ,  diffraction theory and acoustics. Particularly these equations are very much useful  in finding the solution of crack problems of fracture mechanics. In this paper solution of simultaneous triple series equations associated with Laguerre polynomials with matrix argument has been obtained , which arises in the Crack problems of Fracture Machanics.

Keywords: Integral equations, Series equations , Laguerre polynomials, Matrix argument.