Radii of starlikeness of some special functions-Reference-Cited by-同舟云学术

Radii of starlikeness of some special functions

Published:2016-04-14 Issue:8 Volume:144 Page:3355-3367
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Baricz Árpád,Dimitrov Dimitar,Orhan Halit,Yağmur Nihat

Abstract

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-08/S0002-9939-2016-13120-1/S0002-9939-2016-13120-1.pdf

Reference19 articles.

1. [BK] Á. Baricz and S. Koumandos, Turán type inequalities for some Lommel functions of the first kind, Proc. Edinb. Math. Soc. (in press), doi: 10.1017/S0013091515000413.

2. The radius of starlikeness of normalized Bessel functions of the first kind;Baricz, Árpád;Proc. Amer. Math. Soc.,2014

3. Close-to-convexity of some special functions and their derivatives;Baricz, Árpád;Bull. Malays. Math. Sci. Soc.,2016

4. [BPS] Á. Baricz, S. Ponnusamy, and S. Singh, Turán type inequalities for Struve functions, arXiv:1401.1430.

5. On the monotonity of certain functionals in the theory of analytic functions;Biernacki, Mieczysław;Ann. Univ. Mariae Curie-Sk\l odowska Sect. A,1955

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