Ruscheweyh – Type Harmonic Functions Associated with Probabilities of the Generalized Distribution and Sigmoid Function Defined by q- differential Operators

  • Awolere Ibrahim Taiwo Olusegun Agagu University of Science and Technology
  • Oyekan Ezekiel Abiodun Olusegun Agagu University of Science and Technology
Keywords: Analytic function; Univalent function; Polylogarithm; Probability; Distribution series; Subordination; q-differential operator.

Abstract

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.

Author Biographies

Awolere Ibrahim Taiwo , Olusegun Agagu University of Science and Technology

Department of Mathematical Sciences, Faculty of Science, Olusegun Agagu University of Science and Technology (OSUSTECH)

Oyekan Ezekiel Abiodun, Olusegun Agagu University of Science and Technology

Department of Mathematical Sciences, Faculty of Science, Olusegun Agagu University of Science and Technology (OSUSTECH), P.M.B. 353, Okitipupa, Ondo State, Nigeria

Published
2022-04-11
Section
Articles

Journal Identifiers


eISSN: 2220-184X
print ISSN: 2073-073X