Application of Ruscheweyh q-differential operator to analytic functions of reciprocal order

Authors

  • Shahid Mahmood Sarhad University of Science & I. T Peshawar, Pakistan
  • Saima Mustafa Deptt. of Statistics & Mathematics, PMAS-Arid Agriculture University, Rawalpindi
  • Imran Khan Department of Mechanical Engineering, Sarhad University of Science & I. T Landi Akhun Ahmad, Hayatabad Link. Ring Road, Peshawar, Pakistan

DOI:

https://doi.org/10.24193/subbmath.2020.2.03

Keywords:

Analytic functions, Subordination, Functions with positive real part, Ruscheweyh q-differential operator, reciprocal order.

Abstract

The core object of this paper is to define and study new class of analytic function using Ruscheweyh q-differential operator. We also investigate a number of useful properties such as inclusion relation, coefficient estimates, subordination result,for this newly subclass of analytic functions.

Author Biographies

  • Shahid Mahmood, Sarhad University of Science & I. T Peshawar, Pakistan
    Assistant Professor Department of Mechanical Engineering, Sarhad University of Science & I. T Landi Akhun Ahmad, Hayatabad Link. Ring Road, Peshawar, Pakistan
  • Saima Mustafa, Deptt. of Statistics & Mathematics, PMAS-Arid Agriculture University, Rawalpindi

    Assistant Professor

    Deptt. of Statistics & Mathematics, PMAS-Arid Agriculture University, Rawalpindi

  • Imran Khan, Department of Mechanical Engineering, Sarhad University of Science & I. T Landi Akhun Ahmad, Hayatabad Link. Ring Road, Peshawar, Pakistan

    Assistant Professor

    Department of Mechanical Engineering, Sarhad University of Science & I. T Landi Akhun Ahmad, Hayatabad Link. Ring Road, Peshawar, Pakistan

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Published

2020-06-02

Issue

Section

Articles