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On the Zeros of a Differential Polynomial and Normal Families

✍ Scribed by Ye Yasheng; Pang Xuecheng

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
136 KB
Volume
205
Category
Article
ISSN
0022-247X

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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 \(