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On the zeros of a certain class of polynomials and related analytic functions

โœ Scribed by Abdul Aziz; Q.G Mohammad

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
341 KB
Volume
75
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

On the Zeros of a Class of Polynomials D
On the Zeros of a Class of Polynomials Defined by a Three Term Recurrence Relation
โœ E.K. Ifantis; P.N. Panagopoulos ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 316 KB

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 \(