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 50 条

[1] Fractional calculus and analytic functions
Kalia, RN
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (1-2) : 203 - 210
[2] Some operators of fractional calculus and their applications involving a novel class of analytic functions
Chen, MP
Srivastava, HM
Yu, CS
APPLIED MATHEMATICS AND COMPUTATION, 1998, 91 (2-3) : 285 - 296
[3] Some operators of fractional calculus and their applications involving a novel class of analytic functions
Chen, Ming-Po
Srivastava, H.M.
Yu, Ching-Shu
Applied Mathematics and Computation (New York), 1998, 91 (2-3): : 285 - 296
[4] ON A NEW CLASS OF FRACTIONAL CALCULUS OF VARIATIONS AND RELATED FRACTIONAL DIFFERENTIAL EQUATIONS
Feng, Xiaobing
Sutton, Mitchell
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2022, 35 (5-6) : 299 - 338
[5] Some applications of fractional calculus for analytic functions
Uyanik, Neslihan
Owa, Shigeyoshi
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (05) : 2025 - 2034
[6] On fractional calculus with analytic kernels with respect to functions
Christian Maxime Steve Oumarou
Hafiz Muhammad Fahad
Jean-Daniel Djida
Arran Fernandez
Computational and Applied Mathematics, 2021, 40
[7] On fractional calculus with analytic kernels with respect to functions
Oumarou, Christian Maxime Steve
Fahad, Hafiz Muhammad
Djida, Jean-Daniel
Fernandez, Arran
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (07):
[8] On a class of analytic functions related to conic domains involving q-calculus
Govindaraj, M.
Sivasubramanian, S.
ANALYSIS MATHEMATICA, 2017, 43 (03) : 475 - 487
[9] On a class of analytic functions related to conic domains involving q-calculus
M. Govindaraj
S. Sivasubramanian
Analysis Mathematica, 2017, 43 : 475 - 487
[10] An application of fractional calculus to a new class of multivalent functions with negative coefficients
Kulkarni, SR
Naik, UH
Srivastava, HM
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (5-6) : 169 - 182

← 1 2 3 4 5 →