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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2019 Volume 19, Number 2, Pages 138–172 (Mi dvmg405)

Decomposition in terms of special functions

V. A. Bykovskii

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: In the automorphic functions theory there arise integral transformations with the special functions in the kernels. In this work it is developed the universal method for constructing of the inverse formulas. The numerous examples are considered.

Key words: special functions, inversion formulas, expansions in terms of special functions.

UDC: 517.923

MSC: 44A20

Received: 01.10.2019



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