CLOSED CONVEX HULL OF MULTIVALENT SYMMETRIC CLOSE-TO-CONVEX FUNCTIONS OF ORDER β WITH NONTEL NORMALIZATION

MUKTESWAR CHOUDHURY

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CLOSED CONVEX HULL OF MULTIVALENT SYMMETRIC CLOSE-TO-CONVEX FUNCTIONS OF ORDER β WITH NONTEL NORMALIZATION

机译：具有非tel归一化的阶β的多价对称近凸函数的封闭凸包

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摘要

In this paper a one-to-one transformation of the family of multivalent symmetric close-to-convex functions of order β≥ 0, onto the family of multivalent symmetric close-to-convex functions of order β≥ 0 with Montel normalization, have been obtained. Using this transformation the closed convex hull and extreme points of the latter class have been determined for β≥ 1.

机译：本文通过Montel归一化将β≥0阶的多价对称近凸函数族到β≥0阶的多价对称近凸函数族进行一对一变换已获得。使用此变换，已确定β≥1的后一类封闭凸包和极端。

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来源
《Acta Ciencia Indica》 |2011年第3期|p.713-718|共6页
作者
MUKTESWAR CHOUDHURY;
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作者单位

Department of Mathematics, Sushilavati Govt. Women's College, Sector-2, Rourkela - 7690 005 (Orissa), India;

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原文格式 PDF
正文语种 eng
中图分类
关键词
convex hulls; extreme points; p-valent close-to-convex functions of order p; montel normalization etc;

机译：凸包极端点p阶p价近凸函数;蒙特利标准化等;

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专利

1. Closed convex hull of multivalent symmetric close-to-convex functions of order β with the Montel normalization [J] . A. K. Mishra, P. Sahu Rendiconti del Circolo Matematico di Palermo . 2007,第1期

机译：具有Montel归一化的β阶多价对称近凸函数的封闭凸包
2. A New Subclass of Meromorphic Multivalent Close-to-Convex Functions Associated with Janowski Functions [J] . Bakhtiar Ahmad, Mohsan Raza, Muhammad Arif Filomat . 2016,第9期

机译：与Janowski函数相关的亚纯多价近凸函数的新子类
3. On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points [J] . Wang ZG, Gao CY, Yuan SM Journal of Mathematical Analysis and Applications . 2006,第1期

机译：关于k对称点的接近凸函数和拟凸函数的某些子类
4. The Fekete-Szeg? Problem for a Subclass of Close-to-convex Functions of Order β Type γ with Respect to Symmetric Points [C] . Chuah Puoi Choo, Aini Janteng National Symposium on Mathematical Sciences . 2013

机译：fekete-szeg？关于对称点的顺序β型γ近凸函数的子类问题的问题
5. WEAKLY CLOSE-TO-CONVEX MEROMORPHIC FUNCTIONS. [D] . LANDAU-TREISNER, LAURELLEN. 1985

机译：接近于凸的亚纯函数。
6. Janowski type close-to-convex functions associated with conic regions [O] . Shahid Mahmood, Muhammad Arif, Sarfraz Nawaz Malik -1

机译：与圆锥区域相关的Janowski型近凸函数
7. Close-to-convex multivalent functions with respect to weakly starlike functions [O] . David Styer 1972

机译：关于弱星函数的近距离多价函数
8. Limit Theorems for Functionals of Convex Hulls [R] . Cabo, A. J., Groeneboom, P. 1991

机译：凸壳功能的极限定理

CLOSED CONVEX HULL OF MULTIVALENT SYMMETRIC CLOSE-TO-CONVEX FUNCTIONS OF ORDER β WITH NONTEL NORMALIZATION

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