Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 5, Issue 3


Published
on

December 23, 2020


Pages

226-232


DOI

Article

Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az2Jϑ (z) + bzJϑ (z) + cJϑ(z)


Authors

Murat Caglar Affiliation:
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Kars, Turkey
, Erhan Deniz Affiliation:
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Kars, Turkey
and Sercan Kazimoglu Affiliation:
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Kars, Turkey


Abstract

In this paper, we introduce a new subclass of analytic functions in the open unit disk U with negative coefficients defined by normalized of the az2J9 (z) + bzJϑ (z) + cJϑ (z) function, where Jϑ (z) is called the Bessel function of the first kind of order ϑ. The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions f (z) belonging to this subclass.


Keywords

Analytic function, Starlike and convex functions, Bessel function, Neighborhoods, Coefficient inequality, Inclusion.


Citation

Caglar, M., Deniz, E., & Kazimoglu, S. (2020). Neighborhoods of certain classes of analytic functions defined by normalized function az2Jϑ (z) + bzjϑ (z) + cjϑ(z). Turkish Journal of Science, 5(3), 226–232. https://doi.org/10.66833/TJOS-2020-0025
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