Geometric properties of generalized Bessel functions

Research output: Contribution to journalArticle

87 Citations (Scopus)

Abstract

In this paper our aim is to establish some geometric properties (like univalence, starlikeness, convexity and close-to-convexity) for the generalized Bessel functions of the first kind. In order to prove our main results, we use the technique of differential subordinations developed by MILLER and MOCANU, and some classical results of OZAKI and FEJÉR.

Original languageEnglish
Pages (from-to)155-178
Number of pages24
JournalPublicationes Mathematicae
Volume73
Issue number1-2
Publication statusPublished - 2008

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Bessel Functions
Generalized Functions
Convexity
Bessel function of the first kind
Differential Subordination
Starlikeness

Keywords

  • Bessel
  • Close-to-convex functions
  • Convex
  • Differential subordinations
  • Modified Bessel
  • Spherical Bessel functions
  • Starlike
  • Univalent

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Geometric properties of generalized Bessel functions. / Baricz, A.

In: Publicationes Mathematicae, Vol. 73, No. 1-2, 2008, p. 155-178.

Research output: Contribution to journalArticle

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