American Mathematical Society , - Mathematics - pages. The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. It leads to an alternative definition of the Ultraspherical polynomials by a fixed integral operator in application to powers of the variable u in an analogous way as it is possible for Hermite polynomials. Scientific Research An Academic Publisher. Analisi vettoriale generale e applicasioni Advances in Pure Mathematics , Vol. Furthermore, we show that the Ultraspherical polynomials form a realization of the SU 1,1 Lie algebra with lowering and raising operators which we explicitly determine. 
| Uploader: | Gurisar |
| Date Added: | 4 August 2016 |
| File Size: | 11.41 Mb |
| Operating Systems: | Windows NT/2000/XP/2003/2003/7/8/10 MacOS 10/X |
| Downloads: | 69901 |
| Price: | Free* [*Free Regsitration Required] |
The book by Szego, originally published inis the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book.
Stieltjes, and many other mathematicians.
From this follows a orhtogonal function which is apparently known only for the Legendre and Chebyshev polynomials as their special case. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.
It was further developed by A.
Szegő polynomial - Wikipedia
Scientific Research An Academic Publisher. Furthermore, we show that the Ultraspherical polynomials form a realization of the SU 1,1 Lie algebra with lowering and raising operators which we explicitly determine.
Orthogonal Polynomials Volume 23 of American Math. Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting properties.
Szegő polynomial
By reordering of multiplication and differentiation operators we derive new operator identities for the whole set of Jacobi polynomials which may be applied to arbitrary functions and provide then function identities. My library Help Advanced Book Search.
Analisi vettoriale generale e applicasioni Account Options Sign in. It leads to an alternative definition of the Ultraspherical polynomials by a fixed integral operator in application to powers of the variable u in an analogous way as it orthpgonal possible for Hermite polynomials. American Mathematical Society- Mathematics - pages.
Advances in Pure MathematicsVol.
Comments
Post a Comment