The constrained coefficient problem for typically real functions
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- by George B. Leeman PDF
- Trans. Amer. Math. Soc. 186 (1973), 177-189 Request permission
Abstract:
Let $- 2 \leq c \leq 2$. In this paper we find the precise upper and lower bounds on the nth Taylor coefficient ${a_n}$ of functions $f(z) = z + c{z^2} + \Sigma _{k = 3}^\infty {a_k}{z^k}$ typically real in the unit disk for $n = 3,4, \cdots$. In addition all the extremal functions are identified.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 186 (1973), 177-189
- MSC: Primary 30A34
- DOI: https://doi.org/10.1090/S0002-9947-1973-0338347-8
- MathSciNet review: 0338347