Properties For an Integral Operator on the Class of Close-to-Convex Functions

被引：2
作者：
Ularua, Nicoleta [1 ]
机构：
[1] Ioan Slavici Univ Timisoara, Timisoara, Romania
来源：
FILOMAT | 2015年 / 29卷 / 06期
关键词：
Analytic functions; close-to-convex functions; close-to-starlike functions; integral operator;
D O I：
10.2298/FIL1506291U
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to prove that the functions generated by the integral operator I(f,g)(z) = integral(z)(0) Pi(n)(i =1) (f(i)(t)/g(i)(t))(gamma i) dt are in the class of close-to-convex functions, considering the analytical functions f(i) and g(i) from the classes of starlike and close-to-starlike functions.
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收藏
页码：1291 / 1296
页数：6
相关论文
共 11 条
  • [1] Functions which map the interior of the unit circle upon simple regions.
    Alexander, JW
    [J]. ANNALS OF MATHEMATICS, 1915, 17 : 12 - 22
  • [2] An extension of the univalent condition for a family of integral operators
    Breaz, Daniel
    Breaz, Nicoleta
    Srivastava, H. M.
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 41 - 44
  • [3] Univalence Criteria for a General Integral Operator
    Deniz, Erhan
    [J]. FILOMAT, 2014, 28 (01) : 11 - 19
  • [4] UNIVALENCE OF TWO GENERAL INTEGRAL OPERATORS
    Frasin, B. A.
    [J]. FILOMAT, 2009, 23 (03) : 223 - 229
  • [5] Jakubowski Z. J., 1972, ANN POL MATH, V26
  • [6] Close-to-convexity, starlikeness, and convexity of certain analytic functions
    Owa, S
    Nunokawa, M
    Saitoh, H
    Srivastava, HM
    [J]. APPLIED MATHEMATICS LETTERS, 2002, 15 (01) : 63 - 69
  • [7] SHUKLA SL, 1985, INDIAN J PURE AP MAT, V16, P279
  • [8] Stanciu L. F., 2013, NOVI SAD J MATH, V43, P51
  • [9] STUDY E., 1913, Vorlesungen uber ausgewahlte Gegenstande der Geometrie. Zweites Heft: Konforme Abbildung Einfach-Zusammenhangender Bereiche
  • [10] Ularu N., MATH BOUNDA IN PRESS
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