Pylypyuk T. Introduction of hybrid integral transformation (Furie, Legendres, Bessel)

The method of integral manifolds in the problems of mathematical physics. To construct and to substantiate mathematically hybrid integral transformations yielded by varions combinations of Furie, Furie-Legendres, Legendres-Legendres-Bessel and Furie-Legendres-Legendres differential operators on a polar axis with two conjugate points. The method of delte-shaped consequences, the method of the teory of boundary-value problem, the method of the functions theory of a complex variable, the operational method are applied to investigation. Analitative studies of Furie, Legendres, Bessel new hydrid integral transformation have been conducted and constructed. The basic identifies of integral tranformations of hybrid integral operators have been obtained. The theorems on integral representation of piece-wise continuons absolutily summable functions of limited variation have been established. Aplicability is problems of mathematical physics of non-homogeneons structures.