바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

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

ISSN : 3059-0604

논문 상세

이전 다음
논문 투고

Vol.28 No.3

Citation Share

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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. , 28(3), 235-246, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.235

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

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책