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Proceedings of the American Mathematical Society

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

 

 

Goodman's conjecture and the coefficients of univalent functions


Authors: Abdallah Lyzzaik and David Styer
Journal: Proc. Amer. Math. Soc. 69 (1978), 111-114
MSC: Primary 30A34
MathSciNet review: 0460619
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Abstract: Goodman's conjecture (for a bound on the modulus of the nth coefficient of a p-valent function as a linear combination of the moduli of the first p coefficients) is considered in the special case of functions which are polynomials of univalent functions. For such functions, it is shown that Goodman's conjecture is equivalent to a set of coefficient conjectures for normalized univalent functions.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0460619-7
Keywords: Univalent function, multivalent function, determinant
Article copyright: © Copyright 1978 American Mathematical Society