Some Parseval-Goldstein Type Theorems For Generalized Integral Transforms

Year 2024, , 81 - 92, 14.04.2024

Durmuş Albayrak

https://doi.org/10.36753/mathenot.1362335

Abstract

In this work, we establish some Parseval-Goldstein type identities and relations that include various new generalized integral transforms such as $\mathcal{L}_{\alpha,\mu}$-transform and generalized Stieltjes transform. In addition, we evaluated improper integrals of some fundamental and special functions using our results.

Keywords

Generalized Laplace transform, Generalized Stieltjes transform, Laplace transform, Parseval-Goldstein theorem

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