×

Orthogonal polynomials. (English) Zbl 06850723

De Gruyter Studies in Mathematics 63. Berlin: De Gruyter (ISBN 978-3-11-031385-7/hbk; 978-3-11-031386-4/ebook). 500 p. (2024).
Preliminary review / Publisher’s description: The origins of the theory of orthogonal polynomials go back at least to the 18th century when they were studied in terms of continued fractions. The theory is now large and complex: a crossroad of several important domains of analysis such as analytic function theory, analytic theory of differential equations, Fourier and harmonic analysis, spectral theory of Sturm-Liouville operators, and approximation and interpolation, among others.

MSC:

33-02 Research exposition (monographs, survey articles) pertaining to special functions
33C47 Other special orthogonal polynomials and functions
PDFBibTeX XMLCite