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Differential Subordinations Involving Generalized Bessel Functions

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Abstract

In this paper our aim is to present some subordination and superordination results, using an operator, which involves the normalized form of the generalized Bessel functions of first kind. These results are obtained by investigating some appropriate classes of admissible functions. We obtain also some sandwich-type results, and we point out various known or new special cases of our main results.

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Acknowledgments

The research of Á. Baricz was supported by a research Grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project number PN-II-RU-TE-2012-3-0190/2014. The research of E. Deniz was supported by the Commission for the Scientific Research Projects of Kafkas University, project number 2012-FEF-30. The research of M. Çağlar and H. Orhan was supported by the Atatürk University Rectorship under The Scientific and Research Project of Atatürk University, project number 2012/173. The authors are grateful to the referee for his/her helpful comments which enhanced this paper.

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Authors and Affiliations

  1. Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania

    Árpád Baricz

  2. Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, Turkey

    Erhan Deniz & Murat Çağlar

  3. Department of Mathematics, Faculty of Science, Atatürk University, 25240, Erzurum, Turkey

    Halit Orhan

Authors
  1. Árpád Baricz
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  2. Erhan Deniz
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  3. Murat Çağlar
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  4. Halit Orhan
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Correspondence to Árpád Baricz.

Additional information

Communicated by Saminathan Ponusammy.

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Baricz, Á., Deniz, E., Çağlar, M. et al. Differential Subordinations Involving Generalized Bessel Functions. Bull. Malays. Math. Sci. Soc. 38, 1255–1280 (2015). https://doi.org/10.1007/s40840-014-0079-8

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  • DOI: https://doi.org/10.1007/s40840-014-0079-8

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