Analytic Functions Related with Starlikeness

نویسندگان

چکیده

The aim of present investigation is to study a new class analytic function related with the Sokol-Nunokawa class. We derived relationships this strongly starlike functions and obtained many interesting results.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some Starlikeness Criterions for Analytic Functions

Copyright q 2010 Gejun Bao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We determine the condition on α, μ, β, and λ for which | 1−α z/f z μ α zf ′ z /f z z/f z − 1| < λ implies f z ∈ S∗ β , where S∗ β is the class of st...

متن کامل

Starlikeness of Hadamard product of certain analytic functions

An interesting criterion was given by Lashin (A.Y. Lashin, Some convolution properties of analytic functions, Appl. Math. Lett. 18 (2005) 135–138) to be starlike for convolution of analytic functions f, g such that Re1⁄2f 0ðzÞ P a; Re1⁄2g0ðzÞ P b; a; b < 1 in the unit disc U. In this paper we shall improve this criterion. 2007 Elsevier Inc. All rights reserved.

متن کامل

The starlikeness of analytic functions of Koebe type

We investigate the new class H b (α, β) of analytic functions with Koebe type. The subordination, superordination, best dominant result for that class was obtain. And by making use of Jack's Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class H b (α, β) of n-fold symmetric analytic functions of Koebe type. Relevant...

متن کامل

Close-to-convexity, starlikeness, and convexity of certain analytic functions

‘The present investigation was supported, in part, by the Japanese Ministry of Education, Science and Culture tinder Grant-in-Aid for General Scientific Research (No. 046204) and, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant 0GP0007353. A preliminary report on this paper was presented at the spring meeting of the Mathematical Society of Japan held at W...

متن کامل

Certain Conditions for Starlikeness of Analytic Functions of Koebe Type

For α ≥ 0, λ > 0, we consider theM α, λ b of normalized analytic α−λ convex functions defined in the open unit disc U. In this paper, we investigate the classM α, λ b, that is, Re{ zf ′ b z /fb z 1− α α 1 − λ zf ′ b z /fb z αλ 1 zf ′′ b z /f ′ b z } > 0, with fb is Koebe type, that is, fb z : z/ 1−zn . The subordination result for the aforementioned class will be given. Further, bymaking use of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Problems in Engineering

سال: 2021

ISSN: ['1026-7077', '1563-5147', '1024-123X']

DOI: https://doi.org/10.1155/2021/9924434