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.

引用

页码：13 / 21

页数：9

共 7 条

[1] Notes on certain analytic functions concerning some subordinations
Altinkaya, Sahsene
Owa, Shigeyoshi
Yalcin, Sibel
[J]. ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2019, 23 (01): : 79 - 85
[2] The variability range of the coefficients of the power series, which do not reach a given value
Caratheodory, C
[J]. MATHEMATISCHE ANNALEN, 1907, 64 : 95 - 115
[3] Miller S. S., 2000, Monographs and Textbooks in Pure and Applied Mathematics, V225
[4] UNIVALENT AND STARLIKE GENERALIZED HYPERGEOMETRIC-FUNCTIONS
OWA, S
SRIVASTAVA, HM
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (05): : 1057 - 1077
[5] Owa S., 1978, KYUNGPOOK MATH J, V18, P53
[6] Owa S, 1980, Math.Japonica, V25, P195
[7] Sakaguchi K., 1959, J. Math. Soc. Jpn, V11, P72, DOI [10.2969/jmsj/01110072, DOI 10.2969/JMSJ/01110072]

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