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

Bulut, SERAP; Engel, Olga

doi:10.1007/s00025-019-0975-1

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

Atıf İçin Kopyala

Bulut S. , Engel O.

RESULTS IN MATHEMATICS, cilt.74, 2019 (SCI İndekslerine Giren Dergi)

Cilt numarası: 74
Basım Tarihi: 2019
Doi Numarası: 10.1007/s00025-019-0975-1
Dergi Adı: RESULTS IN MATHEMATICS

Özet

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