Valence sequences
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- by A. W. Goodman PDF
- Proc. Amer. Math. Soc. 79 (1980), 422-426 Request permission
Abstract:
Let ${V_0},{V_1}, \ldots ,{V_k}, \ldots$ be an infinite sequence of positive integers (where we include $\infty$ as a possible value for ${V_k}$). The sequence is called a valence sequence if there is an $f(z)$ regular in the unit disk such that for each $k \geqslant 0$ the kth derivative ${f^{(k)}}(z)$ has valence ${V_k}$ in E. Most of the results obtained here about valence sequences are obvious, but we prove three theorems about valence sequences that are not trivial.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 422-426
- MSC: Primary 30C55
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567984-X
- MathSciNet review: 567984