SOME PARSEVAL-GOLDSTEIN TYPE IDENTITIES WITH ILLUSTRATIVE EXAMPLES

KARATAŞ H. B., ALBAYRAK D., UÇAR F.

Proceedings of the Institute of Mathematics and Mechanics, vol.49, no.1, pp.60-68, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.30546/2409-4994.2023.49.1.60
  • Journal Name: Proceedings of the Institute of Mathematics and Mechanics
  • Journal Indexes: Scopus
  • Page Numbers: pp.60-68
  • Keywords: Fourier cosine transforms, Fourier sine transforms, Generalized Glasser transforms, Generalized Laplace transforms, Generalized Stieltjes transforms, Mellin transforms, Parseval-Goldstein type theorems
  • Marmara University Affiliated: Yes

Abstract

In the present paper, the integral transform which will be called generalized Laplace transform is considered. Iteration of generalized Laplace transform and Fourier cosine transform and Fourier sine transform is generalized Glasser transform. Some identities involving these transforms and the Mellin transform and the generalized Stieltjes transform are given.