UNIFIED REPRESENTATION OF A CERTAIN CLASS OF HARMONIC UNIVALENT FUNCTIONS DEFINED BY DZIOK-SRIVASTAVA OPERATOR

被引：0

作者：

Aouf, M. K. ^{[1
]}

El-Ashwah, R. M. ^{[2
]}

Abdulkarem, F. M. ^{[2
]}

机构：

[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt

[2] Damietta Univ, Dept Math, Fac Sci, New Damietta 34517, Egypt

来源：

MATEMATICHE | 2014年 / 69卷 / 01期

关键词：

Harmonic; Univalent functions; Sense preserving; Convolution;

D O I：

10.4418/2014.69.1.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate several properties of the harmonic class N-H ([alpha(1)], n, gamma), defined by the modified Dziok-Sirvastava operator, obtain distortion theorem, extreme points, convolution condition, convex combinations and integral operator for this class. Some of our results generalize previously known results.

引用

页码：197 / 208

页数：12

共 10 条

[1] Al-Khal R. A., 2007, J INEQUAL PURE APPL, V8
[2] CONVEX AND STARLIKE UNIVALENT FUNCTIONS
BERNARDI, SD
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) : 429 - &
[3] Chandrashekar R., 2009, J MATH, V1, P31
[4] CLUNIE J, 1984, ANN ACAD SCI FENN-M, V9, P3
[5] Classes of analytic functions associated with the generalized hypergeometric function
Dziok, J
Srivastava, HM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1999, 103 (01) : 1 - 13
[6] Dziok-Srivastava operator, 2011, APPL MATH SCI, V5, P573
[7] A UNIFIED REPRESENTATION OF SOME STARLIKE AND CONVEX HARMONIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
El-Ashwah, R. M.
Aouf, M. K.
Hassan, A. A. M.
Hassan, A. H.
[J]. OPUSCULA MATHEMATICA, 2013, 33 (02) : 273 - 281
[8] KIM Y. C., 2002, INT J MATH MATH SCI, V29, P459
[9] SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS
LIBERA, RJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) : 755 - &
[10] Srivastava H.M., 1985, MULTIPLE GAUSSIAN HY

← 1 →