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- W2002183901 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. In this paper we show that for functions f E M(p), Goodman's conjecture is true if and only if a certain set of coefficient conjectures is true for the class S. Also, we show that (3) and (4) are true for functions f E M(p) for p = 2, p = 3, respectively." @default.
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- W2002183901 date "1978-01-01" @default.
- W2002183901 modified "2023-09-24" @default.
- W2002183901 title "Goodman’s conjecture and the coefficients of univalent functions" @default.
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- W2002183901 doi "https://doi.org/10.1090/s0002-9939-1978-0460619-7" @default.
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