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.
Keywords
Legendre polynomials radius of starlikeness radius of convexity radius of uniform convexityMathematics Subject Classification
30C45Notes
References
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