INCLUSION AND NEIGHBORHOOD PROPERTIES OF A CERTAIN SUBCLASSES OF P-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

被引：4

作者：

El-Ashwah, R. M. ^{[1
]}

机构：

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

来源：

FILOMAT | 2009年 / 23卷 / 03期

关键词：

Analytic functions; (n; theta)-neighborhood; non-homogenous differential equation; ANALYTIC-FUNCTIONS; MULTIVALENT-FUNCTIONS; OPERATORS;

D O I：

10.2298/FIL0903001E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of Ruscheweyh derivative operator, we introduced and investigated two new subclasses of p-valent analytic functions. The various results obtained here for each of these function class include coefficient bounds and distortion inequalities, associated inclusion relations for the (n, theta)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of non-homogenous differential equation.

引用

页码：1 / 13

页数：13

共 18 条

[1] Neighborhoods of a certain family of multivalent functions with negative coefficients
Altintas, O
Özkan, Ö
Srivastava, HM
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (10-11) : 1667 - 1672
[2] FRACTIONAL CALCULUS AND CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
ALTINTAS, O
IRMAK, H
SRIVASTAVA, HM
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (02) : 9 - 15
[3] A SUBCLASS OF ANALYTIC-FUNCTIONS DEFINED BY USING CERTAIN OPERATORS OF FRACTIONAL CALCULUS
ALTINTAS, O
IRMAK, H
SRIVASTAVA, HM
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (01) : 1 - 9
[4] Altintas O., 1991, MATH JPN, V36, P489
[5] Neighborhoods for certain subclasses of multivalently analytic functions defined by using a differential operator
Altintas, Osman
Irmaka, Hueseyin
Srivastava, H. M.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (03) : 331 - 338
[6] Neighborhoods of certain p-valently analytic functions with negative coefficients
Altintas, Osman
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) : 47 - 53
[7] Chen M.-P, 1986, TAMKANG J MATH, V17, P127
[8] A certain subclass of analytic functions involving operators of fractional calculus
Chen, MP
Irmak, H
Srivastava, HM
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (05) : 83 - 91
[9] Neighborhoods of certain multivalent functions with negative coefficients
Frasin, B. A.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (01) : 1 - 6
[10] Goodman A.W., 1957, P AM MATH SOC, P598

← 1 2 →