Zeros of Sobolev Orthogonal Polynomials of Gegenbauer Type
نویسنده
چکیده
where l > 0 and {dk0, dk1} is a so-called symmetrically coherent pair, with dk0 or dk1 the classical Gegenbauer measure (x−1) dx, a > −1. If dk1 is the Gegenbauer measure, then Sn has n different, real zeros. If dk0 is the Gegenbauer measure, then Sn has at least n−2 different, real zeros. Under certain conditions Sn has complex zeros. Also the location of the zeros of Sn with respect to Gegenbauer polynomials, is studied. © 2002 Elsevier Science (USA)
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 114 شماره
صفحات -
تاریخ انتشار 2002