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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 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 𝒫 (b) and to investigate the various properties of the functions belonging this class. The modulus of the second coefficient c2 in the expansion of f(z) = z+c2z2+… 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 𝛼 with f'(𝛼) = 1 - b, b ∈ ℂ, 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: Theoretical Mathematics and Pedagogical Mathematics

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