Open AccessRuscheweyh – Type Harmonic Functions Associated with Probabilities of the Generalized Distribution and Sigmoid Function Defined by q- differential Operators
Author(s) -
Awolere Ibrahim Taiwo,
Oyekan Ezekiel Abiodun
Publication year - 2022
Publication title -
momona ethiopian journal of science
Language(s) - English
Resource type - Journals
eISSN - 2220-184X
pISSN - 2073-073X
DOI - 10.4314/mejs.v13i2.1
Subject(s) - sigmoid function , mathematics , extreme point , distortion (music) , differential (mechanical device) , class (philosophy) , type (biology) , function (biology) , distribution (mathematics) , regular polygon , mathematical analysis , pure mathematics , convex function , harmonic , differential operator , combinatorics , computer science , physics , amplifier , computer network , ecology , geometry , bandwidth (computing) , quantum mechanics , machine learning , artificial intelligence , evolutionary biology , biology , artificial neural network , thermodynamics
A class of Ruscheweyh – type harmonic functions associated with both sigmoid function and probabilities of the generalized distribution series is defined using differential operators. We then establish properties of the class such as coefficient estimate, distortion theorem, extreme point, and convex combination condition. Several applications of our results are obtained as corollaries by varying various parameters involved.