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Radii of \(\varvec{\alpha }\)-Convexity of Some Normalized Bessel Functions of the First Kind

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Abstract

In this paper our aim is to determine the radii of \(\alpha -\)convexity of the normalized Bessel functions for two different kinds of normalization in the case when the order is between \(-2\) and \(-1\). The key tools in the proof of our main results are the Mittag-Leffler expansion for Bessel functions, properties of zeros of the Bessel functions and their derivatives and some inequalities for complex and real numbers.

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Authors and Affiliations

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

    Murat Çağlar & Erhan Deniz

  2. Department of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, Târgu-Mureş, Romania

    Róbert Szász

Authors
  1. Murat Çağlar
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  2. Erhan Deniz
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  3. Róbert Szász
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Correspondence to Murat Çağlar.

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Çağlar, M., Deniz, E. & Szász, R. Radii of \(\varvec{\alpha }\)-Convexity of Some Normalized Bessel Functions of the First Kind. Results Math 72, 2023–2035 (2017). https://doi.org/10.1007/s00025-017-0738-9

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  • DOI: https://doi.org/10.1007/s00025-017-0738-9

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