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

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...

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Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 2; p. 360
Main Authors Olatunji, S.O, Dutta, H
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.04.2020
Subjects
Algebra
Analysis
Differential equations
Nigeria
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Abstract 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.sub.L](P, [lambda], b, [[PHI].sub.m,n]) and [g.sub.L](p, [lambda], b, [[PHI].sub.m,n]) were obtained. Our results are new in this direction and give birth to many corollaries. Keywords: Analytic function, Univalent function, Subordination, Coefficient bounds, Fekete-Szego Inequality, Hankel determinant, Sigmoid function, Bernoulli Lemniscate. AMS Subject Classification: 30C45, 30C50
AbstractList 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.sub.L](P, [lambda], b, [[PHI].sub.m,n]) and [g.sub.L](p, [lambda], b, [[PHI].sub.m,n]) were obtained. Our results are new in this direction and give birth to many corollaries.
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.sub.L](P, [lambda], b, [[PHI].sub.m,n]) and [g.sub.L](p, [lambda], b, [[PHI].sub.m,n]) were obtained. Our results are new in this direction and give birth to many corollaries. Keywords: Analytic function, Univalent function, Subordination, Coefficient bounds, Fekete-Szego Inequality, Hankel determinant, Sigmoid function, Bernoulli Lemniscate. AMS Subject Classification: 30C45, 30C50
Audience Academic
Author Olatunji, S.O
Dutta, H
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SubjectTerms Algebra
Analysis
Differential equations
Title SUBCLASSES OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH SIGMOID FUNCTION AND BERNOULLI LEMNISCATE
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