ON q-INTEGRAL TRANSFORMS AND THEIR APPLICATIONS
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.4, sa.2, ss.103-115, 2012 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 2
- Basım Tarihi: 2012
- Dergi Adı: BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.103-115
- Anahtar Kelimeler: q-Calculus, q-Laplace transform, q-analogue of P-Widder transform and q-Bessel function
- Marmara Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a q-analogue of the P-Widder transform and give a Parseval-Goldstein type theorem. Furthermore, we evaluate the q-Laplace transform of a product of q-Bessel functions. Several special cases of our results are also pointed out.