Orthogonal Polynomials in Two Variables
Taylor & Francis Ltd (Verlag)
978-90-5699-167-8 (ISBN)
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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.
P.K. Suetin Technical University of Communication and Informatics, Moscow, Russia. Translated from the Russian by E.V. Pankratiev
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
| Erscheint lt. Verlag | 19.8.1999 |
|---|---|
| Reihe/Serie | Analytical Methods and Special Functions |
| Verlagsort | London |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 948 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 90-5699-167-1 / 9056991671 |
| ISBN-13 | 978-90-5699-167-8 / 9789056991678 |
| Zustand | Neuware |
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