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Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree

Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree

Abstract The aim of the present paper is to study radii problems for two general classes including various known subclasses of analytic functions associated with the normalized form of Legendre polynomials of odd degree. We also obtain some special cases of the main results presented here with some useful examples.