Advertisement
Published in:
2019 | OriginalPaper | Chapter
Eight Kinds of Orthogonal Polynomials of the Weyl Group C2 and the Tau Method
Authors : Tomasz Czyżycki, Jiří Hrivnák
Published in: Geometric Methods in Physics XXXVI
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
The four kinds of the classical Chebyshev polynomials are generalized to eight kinds of two-variable polynomials of the Weyl group C2. The admissible shift of the weight lattice and the four sign homomorphisms of C2 generate eight types of the underlying hybrid character functions. The construction method of the resulting shifted four kinds of polynomials is detailed. The tau method for the approximation of solutions of differential equations using these two-variable polynomials is discussed.