A Note on the Rayleigh Polynomials
Autor: | E. C. Obi |
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Rok vydání: | 1978 |
Předmět: | |
Zdroj: | SIAM Journal on Mathematical Analysis. 9:825-834 |
ISSN: | 1095-7154 0036-1410 |
DOI: | 10.1137/0509064 |
Popis: | Some formulae and representations of the nth order Rayleigh functions, $\sigma _n $, and their associated polynomials, $\phi _n $, are used to determine polynomials which dominate, or are dominated by, $\phi _n $, and to discuss improved lower bounds for their real roots. In the process the ties between $\phi _n $, and the Catalan numbers are enhanced. |
Databáze: | OpenAIRE |
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