Article
Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az2Jϑ (z) + bzJϑ (z) + cJϑ(z)
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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
M. Caglar, E. Deniz and S. Kazimoglu, “Neighborhoods of certain classes of analytic functions defined by normalized function az2Jϑ (z) + bzjϑ (z) + cjϑ(z),” Turkish Journal of Science, vol. 5, no. 3, pp. 226–232, 2020, doi: 10.66833/TJOS-2020-0025.
Caglar M, Deniz E, Kazimoglu S. Neighborhoods of certain classes of analytic functions defined by normalized function az2Jϑ (z) + bzjϑ (z) + cjϑ(z). Turkish Journal of Science. 2020;5(3):226–232. doi:10.66833/TJOS-2020-0025.
Caglar, M., Deniz, E. and 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), pp. 226–232. Available at: https://doi.org/10.66833/TJOS-2020-0025.
Caglar, Murat, et al. “Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az2Jϑ (Z) + Bzjϑ (Z) + Cjϑ(z).” Turkish Journal of Science, vol. 5, no. 3, 2020, pp. 226–232. https://doi.org/10.66833/TJOS-2020-0025.
Caglar, Murat, Erhan Deniz, and Sercan Kazimoglu. “Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az2Jϑ (Z) + Bzjϑ (Z) + Cjϑ(z).” Turkish Journal of Science 5, no. 3 (2020): 226–232. https://doi.org/10.66833/TJOS-2020-0025.
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- DOI: 10.66833/tjos-2020-0025
- Type: article
- Source: Turkish Journal of Science
- Published: 2020-12-30
- OpenAlex ID: W3119099518
Published by: Engineering Journals


