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Geometric Properties of Generalized Bessel Functions

  • Árpád BariczEmail author
Chapter
  • 1.5k Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1994)

Abstract

The goal of the present chapter is to study some geometric properties (like univalence, starlikeness, convexity, close-to-convexity) of generalized Bessel functions of the first kind. In order to achieve our goal we use several methods: differential subordinations technique, Alexander transform, results of L. Fejér, W. Kaplan, S. Owa and H.M. Srivastava, S. Ozaki, S. Ponnusamy and M. Vuorinen, H. Silverman, and Jack’s lemma. Moreover, we present some immediate applications of univalence and convexity involving generalized Bessel functions associated with the Hardy space and a monotonicity property of generalized and normalized Bessel functions of the first kind.

Keywords

Analytic Function Convex Function Bessel Function Geometric Property Unit Disk 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of EconomicsBabes-Bolyai UniversityCluj-NapocaRomania

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