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DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS

  • Al-Kharsani, Huda A. (Department of Mathematics Girls College, University of Dammam) ;
  • Baricz, Arpad (Department of Economics Babes-Bolyai University) ;
  • Nisar, Kottakkaran S. (Department of Mathematics College of Arts and Science Prince Sattam bin Abdulaziz University)
  • Received : 2015.01.04
  • Published : 2016.01.31

Abstract

Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

Keywords

References

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  1. Convolution properties for meromorphically multivalent functions involving generalized Bessel functions 2017, https://doi.org/10.1007/s13398-017-0378-7
  2. On confluent hypergeometric functions and generalized Bessel functions 2017, https://doi.org/10.1007/s10476-017-0203-8
  3. Inequalities on an extended Bessel function vol.2018, pp.1, 2018, https://doi.org/10.1186/s13660-018-1656-4