Jacobi polynomial sums and univalent Cesàro means

Bustoz, J.

doi:10.1090/S0002-9939-1975-0369685-8

Jacobi polynomial sums and univalent Cesàro means
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Proc. Amer. Math. Soc. 50 (1975), 259-264 Request permission

Abstract:

We prove that Cesàro means of certain univalent power series are univalent. We establish a connection between these means and a conjecture of R. Askey about a type of Jacobi polynomial sum.

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