SUBCLASSES OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH SIGMOID FUNCTION AND BERNOULLI LEMNISCATE

被引:0
作者
Olatunji, S. O. [1 ]
Dutta, H. [2 ]
机构
[1] Fed Univ Technol Akure, Dept Math Sci, PMB 704, Akure, Nigeria
[2] Guwahati Univ, Dept Math, Gauhati 781014, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2020年 / 10卷 / 02期
关键词
Analytic function; Univalent function; Subordination; Coefficient bounds; Fekete-Szego Inequality; Hankel determinant; Sigmoid function; Bernoulli Lemniscate; COEFFICIENT INEQUALITY; STARLIKE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this present work, subclasses of multivalent functions of complex order associated with simple logistic sigmoid activation function and Bernoulli Lemniscate were investigated. Early few coefficient bounds, relevant connection to Fekete-Szego inequalities and second Hankel determinant for the two classes M-L(p, lambda, b, Phi(m,n)) and G(L)(p, lambda, b, Phi(m,n)) were obtained. Our results are new in this direction and give birth to many corollaries.
引用
收藏
页码:360 / 369
页数:10
相关论文
共 14 条
[1]   Coefficient bounds for p-valent functions [J].
Ali, Rosihan M. ;
Ravichandran, V. ;
Seenivasagan, N. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) :35-46
[2]   Subclasses of Multivalent Starlike and Convex Functions [J].
Ali, Rosihan M. ;
Ravichandran, V. ;
Lee, See Keong .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (03) :385-394
[3]  
Fadipe-Joseph O.A., 2013, Int. J. Math. Sci. and Engr. Appl., V7, P313
[4]   A COEFFICIENT INEQUALITY FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS [J].
KEOGH, FR ;
MERKES, EP .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (01) :8-&
[5]  
Murugusundaramoorthy G., 2015, INT J PURE APPL MATH, V101, P33
[6]  
Nars MA., 1983, Bull. Fac. Sci. Assiut. Univ. Sect A, V12, P153
[7]   2ND HANKEL DETERMINANT OF AREALLY MEAN P-VALENT FUNCTIONS [J].
NOONAN, JW ;
THOMAS, DK .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 223 (OCT) :337-346
[8]  
Oladipo AT, 2016, STUD U BABES-BOL MAT, V61, P45
[9]  
Olatunji S. O., 2016, J. Progr. Res. Math, V7, P1164
[10]  
Olatunji S. O., 2017, Electronic Journal of Mathematical Analysis and Applications, V5, P97