On spectral polynomials of the Heun equation. I
نویسندگان
چکیده
The classical Heun equation has the form
منابع مشابه
Polynomial Solutions of the Heun Equation
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are particularly concerned, the interlacing property of spectral and Stieltjes polynomials in the case of real roots of these polynomials and asymptotic root distribution when complex roots are present.
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The well-known Heun equation has the form Q(z) d 2 dz 2 + P (z) d dz + V (z) ff S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) and V (z) are polynomials of degree at most 2 and 1 respectively. One of the classical problems about the Heun equation suggested by E. Heine and T. Stieltjes in the late 19-th century is for a given positive integer n to find all possible polynomials V (z)...
متن کاملOn Spectral Polynomials of the Heun
The well-known Heun equation has the form { Q(z) d2 dz2 + P (z) d dz + V (z) } S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) and V (z) are polynomials of degree at most 2 and 1 respectively. One of the classical problems about the Heun equation suggested by E. Heine and T. Stieltjes in the late 19-th century is for a given positive integer n to find all possible polynomials V (z) su...
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 162 شماره
صفحات -
تاریخ انتشار 2010