THE FEKETE-SZEGO PROBLEM FOR A CLASS OF ANALYTIC FUNCTIONS DEFINED BY DZIOK-SRIVASTAVA OPERATOR

被引：15

作者：

Deniz, Erhan ^{[1
]}

Caglar, Murat ^{[2
]}

Orhan, Halit ^{[2
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkey

[2] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

来源：

KODAI MATHEMATICAL JOURNAL | 2012年 / 35卷 / 03期

关键词：

Fekete-Szego problem; k-uniformly convex function; k-parabolic starlike function; Conic domain; Hadamard product; Dziok-Srivastava operator; UNIFORMLY CONVEX-FUNCTIONS; GENERALIZED HYPERGEOMETRIC-FUNCTIONS; UNIVALENT-FUNCTIONS; FRACTIONAL CALCULUS; STARLIKE FUNCTIONS; LINEAR-OPERATORS; SUBCLASSES;

D O I：

10.2996/kmj/1352985448

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using Dziok-Srivastava operator a new subclass of analytic functions generalized k-parabolic starlike functions, denoted by k - SPl,m(alpha(1);gamma), is introduced. For this class the Fekete-Szego problem is completely solved. Various known or new special cases of our results are also point out.

引用

页码：439 / 462

页数：24

共 36 条

[1] On classes of analytic functions related to conic domains [J].

Al-Oboudi, F. M. ;

Al-Amoudi, K. A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (01) :655-667

[2] CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].

BERNARDI, SD .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&

[3]

Bharati R, 1997, TAMKANG J MATH, V28, P17

[4] STARLIKE AND PRESTARLIKE HYPERGEOMETRIC-FUNCTIONS [J].

CARLSON, BC ;

SHAFFER, DB .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :737-745

[5]

DENIZ E., CLASSES ANAL F UNPUB

[6] Certain subclasses of analytic functions associated with the generalized hypergeometric function [J].

Dziok, J ;

Srivastava, HM .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (01) :7-18

[7] Classes of analytic functions associated with the generalized hypergeometric function [J].

Dziok, J ;

Srivastava, HM .

APPLIED MATHEMATICS AND COMPUTATION, 1999, 103 (01) :1-13

[8]

Fekete M., 1933, J. London Math. Soc., V1, P85, DOI [10.1112/jlms/s1-8.2.85, DOI 10.1112/JLMS/S1-8.2.85]

[9] 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

[10]

Goodman A.W., 1991, Ann. Pol. Math., V56, P87, DOI DOI 10.4064/ap-56-1-87-92

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