UNIVALENCY AND CONVOLUTION RESULTS ASSOCIATED WITH CONFLUENT HYPERGEOMETRIC FUNCTIONS

被引：0

作者：

Obradovic, M. ^{[1
]}

Ponnusamy, S. ^{[2
]}

机构：

[1] Fac Civil Engn, Dept Math, Belgrade 11000, Serbia

[2] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 04期

关键词：

Univalent; starlike and convex functions; confluent hypergeometric functions; Hadamard product; differential subordination;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given the confluent hypergeometric functions Phi (a; c; z), we place conditions on a and c to guarantee that z Phi (a; c; z) will be in two subclasses of univalent functions. In addition, we obtain conditions to obtain some convolution results.

引用

页码：1313 / 1328

页数：16

共 50 条

[31] INTEGRALS OF 2 CONFLUENT HYPERGEOMETRIC-FUNCTIONS
KARULE, E
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (11): : 1969 - 1971
[32] ON SUFFICIENT CONDITION FOR STARLIKENESS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS
Yildiz, Ismet
Akyar, Alaattin
Mert, Oya
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 9 (03): : 331 - 340
[33] UNIVALENCE OF GAUSSIAN AND CONFLUENT HYPERGEOMETRIC-FUNCTIONS
MILLER, SS
MOCANU, PT
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (02) : 333 - 342
[34] CONFLUENT HYPERGEOMETRIC-FUNCTIONS ON AN EXCEPTIONAL DOMAIN
NAGAOKA, S
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1984, 60 (06) : 218 - 220
[35] Monodromies at infinity of confluent A-hypergeometric functions
Ando, Kama
Esteroy, Alexander
Takeuchi, Kiyoshi
ADVANCES IN MATHEMATICS, 2015, 272 : 1 - 19
[36] Hurwitz continued fractions with confluent hypergeometric functions
Komatsu, Takao
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2007, 57 (03) : 919 - 932
[37] PROPERTIES OF THE ZEROS OF CONFLUENT HYPERGEOMETRIC-FUNCTIONS
AHMED, S
JOURNAL OF APPROXIMATION THEORY, 1982, 34 (04) : 335 - 347
[38] UNIFORM ASYMPTOTIC EXPANSIONS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS
TEMME, NM
JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1978, 22 (02): : 215 - 223
[39] Physical sectors of the confluent hypergeometric functions space
Rosas-Ortiz, O
Negro, J
Nieto, LM
REVISTA MEXICANA DE FISICA, 2003, 49 : 88 - 94
[40] EXPANSIONS FOR SOME CONFLUENT HYPERGEOMETRIC-FUNCTIONS
ABADIR, KM
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (16): : 4059 - 4066

← 1 2 3 4 5 →