On a Class of Analytic Function related to Schwarz Lemma

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Computer Engineering, Amasya University)

Ornek, Bulent Nafi. (2022). ON A CLASS OF ANALYTIC FUNCTION RELATED TO SCHWARZ LEMMA. 한국수학교육학회지시리즈B:순수및응용수학, 29(1), 113-124, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.113

복사

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

바로가기메뉴

논문 상세

Vol.29 No.1

ON A CLASS OF ANALYTIC FUNCTION RELATED TO SCHWARZ LEMMA

On a Class of Analytic Function related to Schwarz Lemma

Abstract

한국수학교육학회지시리즈B:순수및응용수학