Dunkl - Semiclassical Orthogonal Polynomials . the Symmetric Case

نویسنده

  • MABROUK SGHAIER
چکیده

where A and B are fixed polynomials with degA ≤ 2, and degB = 1. In 1939, Shohat extended these ideas introducing a new class of orthogonal polynomials. In fact, he studied orthogonal polynomials associated with forms satisfying the last equation, with no restrictions in the degrees of the polynomials A, and B. Obviously, orthogonal polynomials defined as above, generalize in a natural way the classical ones. They were called semiclassical orthogonal polynomials [15]. Among others, an approach to such polynomials taking into account

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تاریخ انتشار 2017