Application of neutrosophic Poisson distribution series on harmonic classes of analytic functions defined by q− derivative operator and sigmoid function

Year 2024, Volume: 73 Issue: 4, 997 - 1010

Ibrahim Tunji Awolere , Abiodun Oladipo , Şahsene Altınkaya

https://doi.org/10.31801/cfsuasmas.1483387

Abstract

There are several authors who have obtained various forms of properties for some subclasses of analytic univalent functions related to different distribution series, such as Binomial, Generalized Discrete Probability, Geometric, Mittag-Leffler, Pascal, and Poisson distribution series. The authors, in this paper, proved the inclusion relation of the harmonic analytic function class $H_{q}^{\alpha}(\theta, \gamma(s), \Psi)$ established by applying convolution operators regarding neutrosophic distribution series equipped with the Sigmoid function (activation function). The present results are capable of handling both accurate (determinate) data and inaccurate (indeterminate) data.

Keywords

Analytic, harmonic starlike, harmonic convex, neutrosophic Poisson distribution, q-derivative

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