Some geometric topics of Jackson ’s (p,q)- derivative convoluted with a Subclass of convex function with negative coefficients

  • Faten Fakher Abdulnibe Department of Mathematics ,College of Science, University of Baghdad, Baghdad –Iraq.
  • Kassim A. Jassim Department of Mathematics, College of Science, University of Baghdad, Baghdad –Iraq.
Keywords: Coefficient bounds,, Analytic functions ;, Starlike , convex ;, and Close-to-convex functions ;, Integral means.

Abstract

In the present work, a new subclass ℘ (_p,q^(δ,k)) (τ ,η) of convex functions with negative coefficients by derivative operator Υ_(τ,p,q)^(δ,k) , considered coefficient inequalities, growth and distortion theorem, closure theorem, and some properties of sundry functions pertinence in class considered. So get radii of close-to-convexity for function pertinence in to class ℘ (_p,q^(δ,k))(τ,η) . Moreover, an integrated way inequality resolve for functions pertinence in class ℘ (_p,q^(δ,k))(τ,η) .

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Published
2019-12-20
How to Cite
Abdulnibe, F., & Jassim, K. (2019). Some geometric topics of Jackson ’s (p,q)- derivative convoluted with a Subclass of convex function with negative coefficients. Journal of Al-Qadisiyah for Computer Science and Mathematics, 11(4), Math Page 61-. https://doi.org/10.29304/jqcm.2019.11.4.643
Section
Math Articles