ABOUT SOME GENERALIZATIONS OF THE PROPERTIES OF THE ERD´ELYI-KOBER OPERATOR AND THEIR APPLICATION

Abstract

In this work a composition of Erd´elyi-Kober operator with differential operators of the high order is proved. Applying the proved theorems, explicit formulas of a solution of the analogue of the singular Cauchy problem for the iterated Klein-Gordon-Fock equation.

Keywords

• Erde´ lyi-Kober operator
• Bessel differential operator