A new class of Abelian theorems for the Mehler-Fock transforms

The main object of this paper is to derive several new Abelian theorems for the Mehler-Fock transforms. The results presented here are compared with those given earlier by R. S. Pathak and R. N. Pandey [Math. Soc. 3 (1987), 91-95]. Some applications and particular cases are also considered.