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The Hankel power sum matrix inverse and the Bernoulli continued fraction

Autor: J. S. Frame

Publikováno v: Mathematics of Computation. 33:815-826

The m × m m \times m Hankel power sum matrix W = V V T W = V{V^T} (where V is the m × n m \times n Vandermonde matrix) has (i, j)-entry S i + j − 2 ( n ) {S_{i + j - 2}}(n) , where S p ( n ) = Σ k = 1 n k p {S_p}(n) = \Sigma _{k = 1}^n{k^p} . In

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::76c97c0588ad4b63d6f779bf32691299
https://doi.org/10.1090/s0025-5718-1979-0521297-0

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Votes and a half-binomial

Autor: Dennis Gilliland, J. S. Frame

Publikováno v: Discrete Applied Mathematics. 12(1):31-40

In two party elections with popular vote ratio p q , 1 2 ≤p=1 −q , a theoretical model suggests replacing the so-called MacMahon cube law approximation ( p q ) 3 , for the ratio P Q of candidates elected, by the ratio ƒ k (p) ƒ k (q) of the two

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2dca657a6269d2b35fa72a5778a1ef92

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Numerical estimates for a Grötzsch ring constant

Autor: J. S. Frame, G. D. Anderson

Publikováno v: Constructive Approximation. 4:223-242

Numerical lower and upper estimates are obtained for the constant λn defined by λn =lim a→0(modR G,n (a)+loga) associated with the Grotzsch extremal ringR G,n (a) in euclideann-space, for 3≤n≤22. Improved lower estimates in terms ofn are prov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e9dadf9406ca0bfd509730376e436465
https://doi.org/10.1007/bf02075460

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