IDENTITIES ON THE epsilon(4n,1)-INTEGRAL TRANSFORM

Dernek N., Mansimli G., Erdogan E.

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, cilt.8, sa.5, ss.75-85, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.75-85
  • Marmara Üniversitesi Adresli: Evet

Özet

In the present paper, the authors prove a Parseval-Goldstein type theorem involving the epsilon(4n,1)-generalized exponential integral transform. Then, the theorem is shown to yield a number of new identities involving several well-known integral transforms. Using the theorem and its corollaries, a number of interesting infinite integrals are presented with illustrative examples.