Some properties of two-fold symmetric analytic functions

Authors

  • Ali Muhammad Professor in Mathematics , Department of Basic Sciences University of Engineering and Technology Peshawar Pakistan
  • Qayyum Shah Lecturer in Mathematics, Department of Basic Sciences University of Engineering and Technology Peshawar, Pakistan
  • Muhammad Ismail Mohmand Department of Computer Science, student of PhD , University of Aberyswyth, United Kindom

Keywords:

Analytic functions, Two-fold symmetric functions, Differential sub-ordination and superordination

Abstract

In this paper, we introduce a new class of two-fold symmetric functions analytic in the unit disc. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class.

Author Biographies

  • Ali Muhammad, Professor in Mathematics , Department of Basic Sciences University of Engineering and Technology Peshawar Pakistan
    Professor in Mathematics , Department of Basic Sciences University of Engineering and Technology Peshawar Pakistan
  • Qayyum Shah, Lecturer in Mathematics, Department of Basic Sciences University of Engineering and Technology Peshawar, Pakistan
    Lecturer in Mathematics, Department of Basic Sciences University of Engineering and Technology Peshawar, Pakistan
  • Muhammad Ismail Mohmand, Department of Computer Science, student of PhD , University of Aberyswyth, United Kindom
    Department of Computer Science, student of PhD , University of Aberyswyth, United Kindom

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Published

2014-05-12

Issue

Vol. 69 No. 1 (2014)

Section

Articoli

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