THE GENERALIZED CONVOLUTIONS WITH A WEIGHT FUNCTION FOR LAPLACE TRANSFORM

Nguyen Xuan Thao, Trinh Tuan, Le Xuan Huy

Abstract


In this paper, we introduce several new generalized convolutions with a weight function for the Laplace, Fourier sine and Fourier cosine integral transforms. Convolution properties and their applications for solving a class of integral equations and systems of integral equations are presented.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)