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

Shahid Mahmood; Saima Mustafa; Imran Khan

doi:10.24193/subbmath.2020.2.03

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

Vol. 65 No. 2 (2020)

Section

Articles

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