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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.29 No.1

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On a Class of Analytic Function related to Schwarz Lemma

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.1, pp.113-124
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.113
Ornek, Bulent Nafi
Ornek,, B. N. (2022). On a Class of Analytic Function related to Schwarz Lemma. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(1), 113-124, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.113

Abstract

In this paper, we plan to introduce the class of the analytic functions called &#x1D4AB; (b) and to investigate the various properties of the functions belonging this class. The modulus of the second coefficient c<sub>2</sub> in the expansion of f(z) = z+c<sub>2</sub>z<sup>2</sup>+&#x2026; belonging to the given class will be estimated from above. Also, we estimate a modulus of the second angular derivative of f(z) function at the boundary point &#x1D6FC; with f'(&#x1D6FC;) = 1 - b, b &#x2208; &#x2102;, by taking into account their first nonzero two Maclaurin coefficients.

keywords
analytic function, Schwarz lemma

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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