ON PARTIAL SUMS OF NORMALIZED q-BESSEL FUNCTIONS

Artas I., ORHAN H.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.33, no.2, pp.535-547, 2018 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.4134/ckms.c170204
  • Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.535-547
  • Keywords: analytic function, q-Bessel functions, univalent functions, partial sums, CONVEX-FUNCTIONS, STARLIKENESS, RADII
  • Ataturk University Affiliated: Yes

Abstract

In the present investigation our main aim is to give lower bounds for the ratio of some normalized q-Bessel functions and their sequences of partial sums. Especially, we consider Jackson's second and third q-Bessel functions and we apply one normalization for each of them.