ON A NEW CLASS OF ANALYTIC FUNCTIONS RELATED TO FRACTIONAL CALCULUS

被引：0
|
作者：
Altinkaya, Sahsene [1 ]
Owa, Shigeyoshi [2 ]
Yalcin, Sibel [1 ]
机构：
[1] Bursa Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey
[2] 1 Decembrie 1918 Univ Alba Iulia, Alba Iulia 510009, Romania
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2020年 / 73卷 / 01期
关键词：
analytic function; fractional derivative; fractional integral; coefficient inequality;
D O I：
10.7546/CRABS.2020.01.02
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Let A be the class of analytic functions f with f(0) = 0 and f'(0) = 1 in the open unit disk U. Applying the fractional derivative D-z(lambda) f of order lambda for f is an element of A, a new subclass A(alpha, beta; lambda) of A with 0 <= alpha < 1, beta > 1 and 0 <= lambda < 1 is considered. The object of the present paper is to discuss some interesting properties of this class of functions.
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页码：13 / 21
页数：9
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