### О НЕКОТОРЫХ ОБОБЩЕНИЯХ СВОЙСТВ ОПЕРАТОРА ЭРДЕЙИ-КОБЕРА И ИХ ПРИЛОЖЕНИЯ

T. Karimov
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.