SOME PARSEVAL-GOLDSTEIN TYPE IDENTITIES WITH ILLUSTRATIVE EXAMPLES

KARATAŞ H. B., ALBAYRAK D., UÇAR F.

Proceedings of the Institute of Mathematics and Mechanics, cilt.49, sa.1, ss.60-68, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.30546/2409-4994.2023.49.1.60
  • Dergi Adı: Proceedings of the Institute of Mathematics and Mechanics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.60-68
  • Anahtar Kelimeler: Fourier cosine transforms, Fourier sine transforms, Generalized Glasser transforms, Generalized Laplace transforms, Generalized Stieltjes transforms, Mellin transforms, Parseval-Goldstein type theorems
  • Marmara Üniversitesi Adresli: Evet

Özet

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.