Applications of Borel Distribution Series on Analytic Functions

  • Abbas Kareem Wanas Department of Mathematics, College of Science, University of Al-Qadisiyah, Iraq
  • Jubran Abdulameer Khuttar Department of Mathematics, College of Science, University of Al-Qadisiyah, Iraq
DOI: https://doi.org/10.34198/ejms.4120.7182
Keywords: analytic function, Borel distribution, probability, coefficient estimates, integral representation, neighborhood

Abstract

The purpose of the present paper is to determine the necessary and sufficient conditions for the power series 14.png whose coefficients are probabilities of the Borel distribution to be in the family 2.png of analytic functions which defined in the open unit disk. We derive a number of important geometric properties, such as, coefficient estimates, integral representation, radii of starlikeness and convexity. Also we discuss the extreme points and neighborhood property for functions belongs to this family.

Published
2020-04-20
How to Cite
Wanas, A. K., & Khuttar, J. A. (2020). Applications of Borel Distribution Series on Analytic Functions . Earthline Journal of Mathematical Sciences, 4(1), 71-82. https://doi.org/10.34198/ejms.4120.7182
Issue
Vol 4 No 1 (2020)
Section
Articles


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