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
PINCHUK, B
[J]. DUKE MATHEMATICAL JOURNAL, 1968, 35 (04) : 721 - &
[7] On the theory of univalent functions
Robertson, MIS
[J]. ANNALS OF MATHEMATICS, 1936, 37 : 374 - 408
[8] ON STARLIKE FUNCTIONS OF ORDER ALPHA
SCHILD, A
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1965, 87 (01) : 65 - &
[9] CONVOLUTION MULTIPLIERS AND STARLIKE FUNCTIONS
SHEILSMALL, T
SILVERMAN, H
SILVIA, E
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1982, 41 : 181 - 192
[10] Silverman H., 1984, MATH JPN, V29, P929

← 1 2 →