SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO CERTAIN SUBCLASSES OF PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

被引：19

作者：

SRIVASTAVA, HM ^{[1
]}

AOUF, MK ^{[1
]}

机构：

[1] MANSOURA UNIV,FAC SCI,DEPT MATH,MANSOURA 35516,EGYPT

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

FRACTIONAL CALCULUS; PRESTARLIKE FUNCTIONS; ANALYTIC FUNCTIONS; DISTORTION THEOREMS; INTEGRAL OPERATOR; STARLIKE FUNCTIONS; CONVEX FUNCTIONS; HADAMARD PRODUCT; FRACTIONAL DERIVATIVES; FRACTIONAL INTEGRALS; SIMPLY CONNECTED REGION; POCHHAMMER SYMBOL;

D O I：

10.1016/0898-1221(95)00067-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the subclasses R[alpha, beta] and C[alpha, beta] consisting of prestarlike acid normalized analytic functions with negative coefficients. Furthermore, distortion theorems involving a generalized fractional integral operator for functions in the subclasses R[alpha, beta] and C[alpha, beta] are given.

引用

页码：53 / 61

页数：9

共 15 条

[1]

MacGregor T. H., 1963, P AM MATH SOC, V14, P71

[2]

OWA S, 1986, PURE APPL MATH SCI, V24, P1

[3]

Owa S., 1984, B KOREAN MATH SOC, V21, P77

[4]

Owa S., 1985, RES NOTES MATH, V138, P164

[5]

OWA S, 1978, KYUNGPOOK MATH J, V1, P53

[6] ON STARLIKE AND CONVEX FUNCTIONS OF ORDER [J].

PINCHUK, B .

DUKE MATHEMATICAL JOURNAL, 1968, 35 (04) :721-&

[7] On the theory of univalent functions [J].

Robertson, MIS .

ANNALS OF MATHEMATICS, 1936, 37 :374-408

[8] ON STARLIKE FUNCTIONS OF ORDER ALPHA [J].

SCHILD, A .

AMERICAN JOURNAL OF MATHEMATICS, 1965, 87 (01) :65-&

[9] CONVOLUTION MULTIPLIERS AND STARLIKE FUNCTIONS [J].

SHEILSMALL, T ;

SILVERMAN, H ;

SILVIA, E .

JOURNAL D ANALYSE MATHEMATIQUE, 1982, 41 :181-192

[10]

Silverman H., 1984, MATH JPN, V29, P929

← 1 2 →