Simultaneous dual integral equations

Abstract

Lowengrub [l] has considered simultaneous dual integral equations of the formwhere i = 1,2 …n, I1= {x:0 ≦ x x <1}, I2 {= x:0 ≦ x >1}, the cIJ are constants, the f1(x) are known functions and the functions φ(x) are to be determined.denotes the modified operator of the Hankel transform with the inversion formula