On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers

被引：69

作者：

Dziok, Jacek ^{[1
]}

Raina, Ravinder Krishna ^{[2
]}

Sokol, Janusz ^{[3
]}

机构：

[1] Univ Rzeszow, Inst Math, Dept Math, PL-35310 Rzeszow, Poland

[2] MP Univ Agri & Technol, Udaipur, Rajasthan, India

[3] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 5-6期

关键词：

Univalent functions; Convex functions; Starlike functions; Subordination; Fibonacci numbers; Conchoid of de Sluze; Trisectrix of Maclaurin;

D O I：

10.1016/j.mcm.2012.10.023

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we investigate an interesting subclass SL of analytic univalent functions in the open unit disc on the complex plane. This class was introduced by Sokol [J. Sokol, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis 175 (1999) 111-116]. The class SL is strongly related to the class KSL considered earlier by the authors of the present work in their paper [J. Dziok, R. K. Raina, J. Sokol, Certain results for a class of convex functions related to shell-like curve connected with Fibonacci Numbers, Comput. Math. Appl. 61 (2011) 2606-2613]. Apart from furnishing some genuine remarks, we present certain new results for the class SL of functions, and also mention some relevant cases for this function class. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1203 / 1211

页数：9

共 49 条

[21] Starlike Functions Related to the Bell Numbers
Cho, Nak Eun
Kumar, Sushil
Kumar, Virendra
Ravichandran, V
Srivastava, H. M.
SYMMETRY-BASEL, 2019, 11 (02):
[22] ZALCMAN CONJECTURE AND HANKEL DETERMINANT OF ORDER THREE FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVES
Kumar, V. Suman
Sharma, R. Bharavi
PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2020, 9 (02): : 119 - 137
[23] New subclasses bi-univalent functions related to shell-like curves involving hypergeometric functions
G. Murugusundaramoorthy
H. Ö. Güney
K. Vijaya
Afrika Matematika, 2020, 31 : 1237 - 1249
[24] New subclasses bi-univalent functions related to shell-like curves involving hypergeometric functions
Murugusundaramoorthy, G.
Guney, H. O.
Vijaya, K.
AFRIKA MATEMATIKA, 2020, 31 (7-8) : 1237 - 1249
[25] Some classes of Janowski functions associated with conic domain and a shell-like curve involving Ruscheweyh derivative
Karthikeyan, Kadhavoor Ragavan
Varadharajan, Seetharam
Lakshmi, Sakkarai
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (04): : 755 - 765
[26] Properties of a class of numbers related to the Fibonacci, Lucas and Pell numbers
Dannan, FM
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, : 399 - 406
[27] Fekete-Szego problem for Bi-Bazilevic functions related to Shell-like curves
Orhan, Halit
Magesh, Nanjundan
Abirami, Chinnasamy
AIMS MATHEMATICS, 2020, 5 (05): : 4412 - 4423
[28] On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers
Ipek, Ahmet
Ari, Kamil
APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 433 - 439
[29] Some properties related to a certain class of starlike functions
Raina, Ravinder Krishna
Sokol, Janusz
COMPTES RENDUS MATHEMATIQUE, 2015, 353 (11) : 973 - 978
[30] COEFFICIENT INEQUALITIES FOR ANALYTIC FUNCTIONS CONNECTED WITH k-FIBONACCI NUMBERS
Bulut, Serap
Sokol, Janusz
HONAM MATHEMATICAL JOURNAL, 2022, 44 (04): : 521 - 534

← 1 2 3 4 5 →