Applications of the Jack's Lemma for the Meromorphic Functions at the Boundary
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SOC PARANAENSE MATEMATICA
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper, a boundary version of the Schwarz lemma for classes N(beta) is investigated. For the function f(z) = 1/z + a(0) + a(1)z + a(2) z(2) +... defined in the punctured disc E such that f(z) is an element of N(beta), we estimate a modulus of the angular derivative of the function zf'(z)/f(z) at the boundary point c with cf '(c)/f(c) = 1-2 beta/beta. Moreover, Schwarz lemma for class N(beta) is given.
Açıklama
Anahtar Kelimeler
SCHWARZ-LEMMA
Kaynak
SOC PARANAENSE MATEMATICA
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
38
Sayı
3