SOME REMARKS FOR ?-SPIRALLIKE FUNCTION OF COMPLEX ORDER AT THE BOUNDARY OF THE UNIT DISC
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Korean Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider a different version of Schwarz Lemma for lambda-spirallike function of complex order at the boundary of the unit disc D: We estimate the modulus of the angular derivative of the function zf'(z)/f(z) from below for lambda-spirallike function f (z) of complex order at the boundary of the unit disc D by taking into account the zeros of the function f(z) - z which are different from zero. We also estimate the same function with the second derivatives of the function f at the points z = 0 and z = z(0) not equal 0: We show the sharpness of these estimates and present examples.
Açıklama
Anahtar Kelimeler
Angular Derivative, Holomorphic Function, Lambda-Spirallike Function, Schwarz Lemma
Kaynak
Communications of The Korean Mathematical Society
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
36
Sayı
4
