Some applications of fractional calculus for analytic functions

被引：0

作者：

Uyanik, Neslihan ^{[1
]}

Owa, Shigeyoshi ^{[2
]}

机构：

[1] Anadolu Univ, Fac Educ, Dept Math & Sci Educ, Eskisehir, Turkey

[2] 1 Decembrie 1918 Univ Alba Iulia, Alba Lulia, Romania

来源：

TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 05期

关键词：

Analytic function; fractional integral; fractional derivative; Miller and Mocanu lemma;

D O I：

10.3906/mat-2103-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For analytic functions f (z) in the class A(n), fractional calculus (fractional integrals and fractional derivatives) D-z(lambda) f (z) of order lambda are introduced. Applying D-z(lambda) f (z) for f (z) is an element of A(n), we introduce the interesting subclass A(n) (alpha(m), beta, rho, lambda) of A(n). The object of this paper is to discuss some properties of f (z) concerning D-z(lambda) f (z).

引用

页码：2025 / 2034

页数：10

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