The q-analogue of the epsilon(2;1)-transform and its applications

Salem A., UÇAR F.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, sa.1, ss.98-107, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1411-70
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.98-107
  • Anahtar Kelimeler: q-Exponential integral, L-q(2)-transfom, L-q(2)-transfom, P-q-transform, q-analogue of epsilon(2;1)-transform
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new integral transform (q)epsilon(2;1), which is the q-analogue of the epsilon(2;1)-transform and can be regarded as a q-extension of the epsilon(2;1)-transform. Some identities involving L-q(2)-transfom, L-q(2)-transfom, and P-q-transform are given. By making use of these identities and (q)epsilon(2;1)-transform, a new Parseval-Goldstein type theorem is obtained. Some examples are also given as an illustration of the main results presented here.