A Note on the Rayleigh Polynomials

Autor: E. C. Obi
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