Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Jacobi polynomial sums and univalent Cesàro means

Author: J. Bustoz
Journal: Proc. Amer. Math. Soc. 50 (1975), 259-264
MSC: Primary 30A36; Secondary 33A45
MathSciNet review: 0369685
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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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Keywords: Jacobi polynomial sums, univalent function, univalent Cesàro means
Article copyright: © Copyright 1975 American Mathematical Society