Lamé differential equations and electrostatics
نویسندگان
چکیده
منابع مشابه
Lamé Differential Equations and Electrostatics
The problem of existence and uniqueness of polynomial solutions of the Lamé differential equation A(x)y′′ + 2B(x)y′ + C(x)y = 0, where A(x), B(x) and C(x) are polynomials of degree p + 1, p and p − 1, is under discussion. We concentrate on the case when A(x) has only real zeros aj and, in contrast to a classical result of Heine and Stieltjes which concerns the case of positive coefficients rj i...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2000
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-00-05638-0