On some generalized integral transforms and Parseval-Goldstein type relations

Albayrak D., Dernek N.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.2, ss.526-540, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15672/hujms.595919
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.526-540
  • Anahtar Kelimeler: generalized Bessel-Maitland integral transform, Laplace transform, Parseval-Goldstein type relations, special functions, IDENTITIES, THEOREM
  • Marmara Üniversitesi Adresli: Evet

Özet

In the present article, using the generalized Bessel-Maitland transform, the Laplace transform and the other known transforms, authors obtain new Parseval-Goldstein type relations. Using these relations, some generalized integrals involving Fox-Wright functions are evaluated. Illustrative examples are also given.