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Geometric Properties of the Products of Modified Bessel Functions of the First Kind

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A Correction to this article was published on 26 April 2021

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Abstract

In this paper, the products of modified Bessel functions of the first kind are considered. Our main aim is to provide various conditions so that these products have certain geometric properties such as starlikeness, convexity, and close to convexity (univalency) with respect to certain functions in the unit disk. Subordinating factor sequences for these products are also obtained. Interesting consequences are provided. The results obtained are new in the literature.

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Acknowledgements

The authors wish to thank the reviewers for suggestions that helped to improve the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El Manar, 1060, Tunis, Tunisia

    Khaled Mehrez

  2. Department of Mathematics, Kairouan Preparatory Institute For Engineering Studies, University of Kairouan, 3100, Kairouan, Tunisia

    Khaled Mehrez

  3. Department of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur, Jharkhand, 831014, India

    Sourav Das & Anish Kumar

Authors
  1. Khaled Mehrez
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  2. Sourav Das
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  3. Anish Kumar
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Correspondence to Khaled Mehrez.

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Communicated by See Keong Lee.

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The original version of this article was revised: Lemma 2.8 was removed, and Theorem 4.3 and Corollary 4.4 were amended.

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Mehrez, K., Das, S. & Kumar, A. Geometric Properties of the Products of Modified Bessel Functions of the First Kind. Bull. Malays. Math. Sci. Soc. 44, 2715–2733 (2021). https://doi.org/10.1007/s40840-021-01082-2

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  • DOI: https://doi.org/10.1007/s40840-021-01082-2

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