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Proceedings of the American Mathematical Society
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0369685-8
PII: S 0002-9939(1975)0369685-8
Keywords: Jacobi polynomial sums, univalent function, univalent Cesàro means
Article copyright: © Copyright 1975 American Mathematical Society