Fractional calculus and some properties of k-uniform convex functions with negative coefficients

被引：0

作者：

Gueney, H. Ozlem ^{[1
]}

Eker, S. Sumer

Owa, Shigeyoshi

机构：

[1] Univ Dicle, Fac Sci & Art, Dept Math, TR-21280 Diyarnakr, Turkey

[2] Kinki Univ, Dept Math, Osaka 5778520, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2006年 / 10卷 / 06期

关键词：

integral operators; subordination; starlike; convex; k-uniform; fractional calculusc; GENERALIZED HYPERGEOMETRIC-FUNCTIONS; LINEAR-OPERATORS; UNIVALENT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a class of functions (k, A, B, alpha) - UCV which is convex in the unit disk. We give some results for the class (k, A, B, alpha) - UCV, integral operators and radius of k-uniform convexity. Further, the proofs of distortion theorems for fractional calculus for functions (k, A, B, alpha) - UCV is given.

引用

页码：1671 / 1683

页数：13

共 10 条

[1]

Bharati R., 1997, TAMKANG J MATH, V28, P17, DOI [10.5556/j.tkjm.28.1997.4330, DOI 10.5556/J.TKJM.28.1997.4330]

[2] Generalized hypergeometric functions associated with k-uniformly convex functions [J].

Gangadharan, A ;

Shanmugam, TN ;

Srivastava, HM .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (12) :1515-1526

[3]

Goodman A.W., 1992, Ann. Polon. Math, V56, P87, DOI [10.4064/ap-56-1-87-92, DOI 10.4064/AP-56-1-87-92, DOI 10.4064/ap-56-1-87-92]

[4] Linear operators associated with k-uniformly convex functions [J].

Kanas, S ;

Srivastava, HM .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 9 (02) :121-132

[5] Conic regions and k-uniform convexity [J].

Kanas, S ;

Wisniowska, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 105 (1-2) :327-336

[6] UNIVALENT AND STARLIKE GENERALIZED HYPERGEOMETRIC-FUNCTIONS [J].

OWA, S ;

SRIVASTAVA, HM .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (05) :1057-1077

[7]

Owa S., 1978, Kyungpook Mathematical Journal, V18, P53

[8] UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS [J].

SILVERMAN, H .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (01) :109-116

[9] A CLASS OF DISTORTION-THEOREMS INVOLVING CERTAIN OPERATORS OF FRACTIONAL CALCULUS [J].

SRIVASTAVA, HM ;

SAIGO, M ;

OWA, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 131 (02) :412-420

[10] SOME CHARACTERIZATION AND DISTORTION-THEOREMS INVOLVING FRACTIONAL CALCULUS, GENERALIZED HYPERGEOMETRIC-FUNCTIONS, HADAMARD-PRODUCTS, LINEAR-OPERATORS, AND CERTAIN SUBCLASSES OF ANALYTIC-FUNCTIONS [J].

SRIVASTAVA, HM ;

OWA, S .

NAGOYA MATHEMATICAL JOURNAL, 1987, 106 :1-28

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