Bounds for certain linear combinations of the Faber coefficients of functions analytic in an ellipse
Yükleniyor...
Dosyalar
Tarih
2007-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Cambridge University Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let S? be a bounded, simply connected domain in C with 0 is an element of Omega and partial derivative Omega analytic. Let S(Omega) denote the class of functions F(z) which are analytic and univalent in Omega with F(0) = 0 and F'(0) = 1. Let {phi(n), (z)}(n=0)(infinity) be the Faber polynomials associated with Omega. If F(z) is an element of S(Omega), then F(z) can be expanded in a series of the form [GRAPHICS] in terms of the Faber polynomials. Let where r > 1. In this paper, we obtain sharp bounds for certain linear combinations of the Faber coefficients of functions F(z) in S(E(r)) and in certain related classes.
Açıklama
Anahtar Kelimeler
Faber polynomials, Faber coefficients, Jacobi elliptic sine function, Inequality, Univalent functions, Coefficient
Kaynak
Proceedings of the Edinburgh Mathematical Society
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
50
Sayı
1
Künye
Haliloğlu, E. (2007). Bounds for certain linear combinations of the Faber coefficients of functions analytic in an ellipse. Proceedings of the Edinburgh Mathematical Society, 50(1), 163-171. doi:10.1017/S0013091504000574
