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.
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页码:189 / 194
页数:6
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