Orthogonal Polynomials in Two Variables

1. Auflage 1999
ISBN: 978-90-5699-167-8
Verlag: CRC Press

Buch, Englisch, 368 Seiten, Format (B × H): 176 mm x 254 mm, Gewicht: 943 g

Reihe: Analytical Methods and Special Functions

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.

Autoren/Hrsg.

Suetin, P. K.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

1. General Properties of Polynomials Orthogonal Over a Domain 2. Some Typical Examples and Special Cases of Orthogonality Over a Domain 3. Classical Appell's Orthogonal Polynomials 4. Admissible Differential Equation for Polnomials Orthogonal Over a Domain 5. Potentially Self-Adjoint Equation and Rodrigues Formula 6. Harmonic Polynomials Orthogonal Over a Domain 7. Polynomials in Two Variables Orthogonal on a Contour 8. Generalized Orthogonal Polynomials in Two Variables 9. Other Results Concerning the Connection Between Orthogonal 10. Polynomials and Differential Equations 11. Original Results of T. Koornwinder Some Recent Results

Über Autor(innen)

P.K. Suetin Technical University of Communication and Informatics, Moscow, Russia. Translated from the Russian by E.V. Pankratiev