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Univalence of Bessel functions

Univalence of Bessel functions

In particular we shall first determine a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} >0, I arg v| <7r/4. Then we shall determine the radius of univalence of the functions z1-vJ,(z) for …