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

[41] Fast impedance formulation and numerical computation associated with ratios of confluent hypergeometric functions
Kotiuga, R
Bellamine, FH
IEEE TRANSACTIONS ON MAGNETICS, 2003, 39 (05) : 3355 - 3357
[42] HYPERASYMPTOTIC EXPANSIONS OF CONFLUENT HYPERGEOMETRIC-FUNCTIONS
OLDEDAALHUIS, AB
IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 49 (03) : 203 - 216
[43] On operational representations of confluent hypergeometric functions and their integrals
Dhar, SC
PHILOSOPHICAL MAGAZINE, 1936, 21 (144): : 1082 - 1096
[44] ON SOME INDEFINITE INTEGRALS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS
NG, EW
GELLER, M
JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1970, B 74 (02): : 85 - +
[45] Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions
Al-Lail, Mohammed H.
Qadir, Asghar
APPLIED MATHEMATICS AND COMPUTATION, 2015, 263 : 392 - 397
[46] CONVERGENT EXPANSIONS OF THE CONFLUENT HYPERGEOMETRIC FUNCTIONS IN TERMS OF ELEMENTARY FUNCTIONS
Bujanda, Blanca
Lopez, Jose L.
Pagola, Pedro J.
MATHEMATICS OF COMPUTATION, 2019, 88 (318) : 1773 - 1789
[47] INFINITE INTEGRALS INVOLVING FOX,S H-FUNCTION AND CONFLUENT HYPERGEOMETRIC FUNCTION AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
KALLA, SL
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 1969, 39 : 3 - &
[48] Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions
Ishkhanyan, T. A.
Ishkhanyan, A. M.
AIP ADVANCES, 2014, 4 (08):
[49] PFAFFIAN SYSTEMS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES
Mukai, Shigeo
KYUSHU JOURNAL OF MATHEMATICS, 2020, 74 (01) : 63 - 104
[50] Polynomial series expansions for confluent and Gaussian hypergeometric functions
Luh, W
Müller, J
Ponnusamy, S
Vasundhra, P
MATHEMATICS OF COMPUTATION, 2005, 74 (252) : 1937 - 1952

← 1 2 3 4 5 →