g-Mellin Transform
Nataša Duraković, Tatjana Grbić, Sanja Rapajić, Slavica Medić, Sandra Buhmiler
Abstract
Nataša Duraković, Tatjana Grbić, Sanja Rapajić, Slavica Medić, Sandra Buhmiler
Abstract
One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined. The connections among the g- Mellin transform, the g- Mellin convolution and the inverse g- Mellin transform and the Mellin transform, as well as the connection between the Mellin convolution and the inverse Mellin transform are presented.
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One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined. The connections among the g- Mellin transform, the g- Mellin convolution and the inverse g- Mellin transform and the Mellin transform, as well as the connection between the Mellin convolution and the inverse Mellin transform are presented.
Key concepts: Mellin transform, Mellin inversion theorem, Convolution (computer science), Two-sided Laplace transform, Generalization, Inverse, Integral transform, Computer science