Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function

被引：28
|
作者：
Frasin, B. A. [1 ]
Swamy, S. R. [2 ]
Nirmala, J. [3 ]
机构：
[1] Al Al Bayt Univ, Dept Math, Fac Sci, Mafraq, Jordan
[2] RV Coll Engn, Dept Comp Sci & Engn, Bangalore 560059, Karnataka, India
[3] Maharanis Sci Coll Women, Dept Math, Bangalore 560001, Karnataka, India
来源：
AFRIKA MATEMATIKA | 2021年 / 32卷 / 3-4期
关键词：
Holomorphic function; Bi-univalent function; Fekete-Szego inequality; Fibonacci numbers; Modified sigmoid function; COEFFICIENT BOUNDS; SUBCLASSES;
D O I：
10.1007/s13370-020-00850-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present paper is to introduce some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function phi(s) = 2/1+e(-s), s >= 0 in the open unit disc D. We investigate the upper bounds on initial coefficients for functions of the form g(phi)(z) = z + Sigma(infinity)(j=2) phi(s)d(j)z(j), in these newly introduced special families and also discuss the Fekete-Szego problem. Some interesting consequences of the results established here are also indicated.
引用
收藏
页码：631 / 643
页数：13
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