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The generation of arbitrary-phase polynomials by recurrence formulae

✍ Scribed by Tamás Henk

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
895 KB
Volume
9
Category
Article
ISSN
0098-9886

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Let \(P\_{N+1}(x)\) be the polynomial which is defined recursively by \(P\_{0}(x)=0\), \(P\_{1}(x)=1, \quad\) and \(\alpha\_{n} P\_{n+1}(x)+\alpha\_{n-1} P\_{n-1}(x)+b\_{n} P\_{n}(x)=x d\_{n} P\_{n}(x), \quad n=1, \quad 2, \ldots, N\), where \(\alpha\_{n}, b\_{n}, d\_{n}\) are real sequences with \(