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The Radius of Starlikeness, Convexity and Uniform Convexity of the Legendre Polynomials of Odd Degree

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Abstract

In this paper we determine the radius of starlikeness and convexity of order \(\beta \) of the Legendre polynomials of odd degree. Further we determine the radius of uniform convexity of the Legendre polynomials of odd degree.

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Authors and Affiliations

  1. Civil Aviation College, Kocaeli University, Izmit, Kocaeli, Turkey

    Serap Bulut

  2. Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

    Olga Engel

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  1. Serap Bulut
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  2. Olga Engel
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Correspondence to Olga Engel.

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Bulut, S., Engel, O. The Radius of Starlikeness, Convexity and Uniform Convexity of the Legendre Polynomials of Odd Degree. Results Math 74, 48 (2019). https://doi.org/10.1007/s00025-019-0975-1

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  • DOI: https://doi.org/10.1007/s00025-019-0975-1

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