Many physical and technical problems are described by ordinary or partial differential eąuations. Among the analytical methods of solving differential eąuations, the methods based on the so-called integral transforms put forward on the first place [l6]. Possibility of making up the transforms tables of different functions is an advantage of integral methods of solving differential eąuations. Introducing into transforms [5 ] set some new elements is an aim of present elaboration. Theorem (1) appeared very helpful to transforms calculations. The authors also utilized the results of theorem (1) while sums of infinite power series calculation (2-13).
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