Multivalent functions associated with Srivastava-Saigo-Owa fractional differintegral operator

被引：8

作者：

Mostafa, Adela O. ^{[1
]}

Aouf, Mohamed K. ^{[1
]}

Zayed, Hanaa M. ^{[2
]}

Bulboaca, Teodor ^{[3
]}

机构：

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

[2] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm 32511, Egypt

[3] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2018年 / 112卷 / 04期

关键词：

Differential subordination; p-valent functions; The Srivastava-Saigo-Owa fractional differintegral operator; GENERALIZED HYPERGEOMETRIC-FUNCTIONS; P-VALENT FUNCTIONS; INCLUSION PROPERTIES; INTEGRAL-OPERATORS; ANALYTIC-FUNCTIONS; CONVEX-FUNCTIONS; SUBCLASSES; UNIVALENT; STARLIKE; SUBORDINATION;

D O I：

10.1007/s13398-017-0436-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of the present paper is to investigate some subordination and other properties of several subclasses ofmultivalent functions which are defined by the SrivastavaSaigo- Owa fractional differintegral operator. Inclusion relations for functions in the class Sm, d,. p,., mu,. ( a; A, B) and the images of these functions by the generalized Bernardi- LiberaLivingston integral operator are also considered.

引用

页码：1409 / 1429

页数：21

共 26 条

[11] Miller S.S., 2000, SERIES MONOGRAPHS TE, V225
[12] UNIVALENT SOLUTIONS OF BRIOT-BOUQUET DIFFERENTIAL-EQUATIONS
MILLER, SS
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 56 (03) : 297 - 309
[13] MILLER SS, 1981, MICH MATH J, V28, P157
[14] Mocanu PT., 2001, INT J MATH MATH SCI, V28, P557
[15] UNIVALENT AND STARLIKE GENERALIZED HYPERGEOMETRIC-FUNCTIONS
OWA, S
SRIVASTAVA, HM
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (05): : 1057 - 1077
[16] Owa S, 1978, Kyungpook Math. J., V18, P53
[17] Classes of multivalent analytic functions involving the Dziok-Srivastava operator
Patel, J.
Mishra, A. K.
Srivastavac, H. M.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (05) : 599 - 616
[18] Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators
Prajapat, J. K.
Raina, R. K.
Srivastava, H. M.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (09) : 639 - 651
[19] Majorization problem for certain class of p-valently analytic function defined by generalized fractional differintegral operator
Prajapat, J. K.
Aouf, M. K.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) : 42 - 47
[20] SALAGEAN GS, 1983, LECT NOTES MATH, V1013, P362

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