Applications of the Jack's Lemma for Analytic Functions concerned with Rogosinski's Lemma

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2021, v.28 no.3, pp.235-246

https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.235

Ornek, Bulent Nafi (Department of Computer Engineering, Maltepe University)

Ornek, Bulent Nafi. (2021). APPLICATIONS OF THE JACK'S LEMMA FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA. 한국수학교육학회지시리즈B:순수및응용수학, 28(3), 235-246, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.235

복사

Abstract

In this study, a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions, is considered.The results of Rogosinskis lemma and Jacks lemma have been utilized to derive novel inequalities. Also, these inequalities have been strengthened by considering the critical points which are different from zero.

keywords: Jack's lemma, Rogosinski's lemma, Julia-Wolff lemma, analytic function, Schwarz lemma

바로가기메뉴

논문 상세

Vol.28 No.3

APPLICATIONS OF THE JACK'S LEMMA FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA

Applications of the Jack's Lemma for Analytic Functions concerned with Rogosinski's Lemma

Abstract

한국수학교육학회지시리즈B:순수및응용수학