The q-analogue of the epsilon(2;1)-transform and its applications
TURKISH JOURNAL OF MATHEMATICS, cilt.40, sa.1, ss.98-107, 2016 (SCI-Expanded, Scopus, TRDizin)
- 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.