Some results of the class of functions with bounded radius rotation

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Eudoxus Press, LLC

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Let A be the family of functions f(z) = z + a2z2+ which are analytic in the open unit disc ?”» = {z: |z| < 1}, and denote by P of functions p(z) = z + p1z + p2z2 + analytic in ?”» such that p(z) is in P if and only if (Formula presented) for some Schwarz function ?-(z) and every z ? ?”»: Let f(z) be an element of A, and satisfies the condition (Formula presented) where p1(z); p2(z) ? P and k ? 2, then f(z) is called function with bounded radius rotation. The class of such functions is denoted by Rk. This class is generalization of starlike functions. The main purpose is to give some properties of the class Rk. © 2019 by Eudoxus Press, LLC, All rights reserved.

Açıklama

Anahtar Kelimeler

Bounded boundary rotation, Bounded radius rotation, Distortion theorem, Growth theorem and coefficient inequality

Kaynak

Journal of Computational Analysis and Applications

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

26

Sayı

6

Künye