Some general properties of analytic and p-valent functions

被引:0
|
作者
Eker, Sevtap Sumer [1 ]
Guney, Hatun Ozlem [1 ]
Owa, Shigeyoshi [2 ]
机构
[1] Dicle Univ, Fac Sci, Dept Math, TR-21280 Diyarbakir, Turkiye
[2] 1 Decembrie 1918 Univ Alba Iulia, Alba Iulia, Romania
关键词
convex of order alpha; starlike of order alpha; fractional derivative; analytic; FRACTIONAL CALCULUS; CONVEX-FUNCTIONS; OPERATORS; UNIVALENT;
D O I
10.2298/FIL2401189S
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A(p) be the class of functions f (z) of the formf(z) = z(p) + a(p+1)z(p+1) + a(p+2)z(p+2) + . . . , (p is an element of N = {1, 2, 3, . . .})which are analytic in the open unit disc U. In this article, we consider some generalization properties of the functions in A(p) and generalize results by applying fractional derivatives.
引用
收藏
页码:189 / 194
页数:6
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