ON q-INTEGRAL TRANSFORMS AND THEIR APPLICATIONS

Albayrak D., Purohit S. D., UÇAR F.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.4, sa.2, ss.103-115, 2012 (ESCI) identifier

  • 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.