ON q-INTEGRAL TRANSFORMS AND THEIR APPLICATIONS

Albayrak D., Purohit S. D., UÇAR F.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.4, no.2, pp.103-115, 2012 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 2
  • Publication Date: 2012
  • Journal Name: BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.103-115
  • Keywords: q-Calculus, q-Laplace transform, q-analogue of P-Widder transform and q-Bessel function
  • Marmara University Affiliated: Yes

Abstract

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.