Some Parseval-Goldstein Type Theorems For Generalized Integral Transforms

Yıl 2024, Cilt: 12 Sayı: 2, 81 - 92, 14.04.2024

Durmuş Albayrak

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

Cited By: 2

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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