Some properties of two-fold symmetric analytic functions

  • 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
Published
2014-05-12
Section
Articoli