Symmetry and separation of variables:
Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1984
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 4 |
| Links: | https://doi.org/10.1017/CBO9781107325623 |
| Zusammenfassung: | Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory. |
| Umfang: | 1 Online-Ressource (xxx, 285 Seiten) |
| ISBN: | 9781107325623 |
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| spelling | Miller, Willard Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey Symmetry & Separation of Variables Cambridge Cambridge University Press 1984 1 Online-Ressource (xxx, 285 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 4 Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory. Askey, Richard Erscheint auch als Druck-Ausgabe 9780521177399 Erscheint auch als Druck-Ausgabe 9780521302241 |
| spellingShingle | Miller, Willard Symmetry and separation of variables |
| title | Symmetry and separation of variables |
| title_alt | Symmetry & Separation of Variables |
| title_auth | Symmetry and separation of variables |
| title_exact_search | Symmetry and separation of variables |
| title_full | Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey |
| title_fullStr | Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey |
| title_full_unstemmed | Symmetry and separation of variables Willard Miller, Jr. ; with a foreword by Richard Askey |
| title_short | Symmetry and separation of variables |
| title_sort | symmetry and separation of variables |
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