منابع مشابه
A Rodrigues-type formula for Gegenbauer matrix polynomials
This paper centers on the derivation of a Rodrigues-type formula for Gegenbauer matrix polynomial. A connection between Gegenbauer and Jacobi matrix polynomials is given.
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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 Gegenb...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2017
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-017-9384-4