Orthogonal polynomials and special functions: Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1975
|
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
21 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references Classical results for trigonometric polynomials and Fourier series and other isolated results -- Jacobi polynomial series -- Fractional integrals and hypergeometric functions -- Addition formulas -- Linearization of products -- Rational functions with positive power series coefficients -- Connection coefficients -- Positive sums -- More positive sums and applications -- Suggestions for further work Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems |
| Beschreibung: | 1 Online-Ressource (xi, 105 Seiten) |
| ISBN: | 0898710189 9780898710182 |
| DOI: | 10.1137/1.9781611970470 |
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| 245 | 1 | 0 | |a Orthogonal polynomials and special functions |b Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 |c Richard Askey |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1975 | |
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| 500 | |a Includes bibliographical references | ||
| 500 | |a Classical results for trigonometric polynomials and Fourier series and other isolated results -- Jacobi polynomial series -- Fractional integrals and hypergeometric functions -- Addition formulas -- Linearization of products -- Rational functions with positive power series coefficients -- Connection coefficients -- Positive sums -- More positive sums and applications -- Suggestions for further work | ||
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Datensatz im Suchindex
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| author | Askey, Richard 1933-2019 |
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| id | DE-604.BV039747253 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898710189 9780898710182 |
| language | English |
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| physical | 1 Online-Ressource (xi, 105 Seiten) |
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| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
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| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Askey, Richard 1933-2019 Verfasser (DE-588)129627631 aut Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 Richard Askey Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1975 1 Online-Ressource (xi, 105 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 21 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references Classical results for trigonometric polynomials and Fourier series and other isolated results -- Jacobi polynomial series -- Fractional integrals and hypergeometric functions -- Addition formulas -- Linearization of products -- Rational functions with positive power series coefficients -- Connection coefficients -- Positive sums -- More positive sums and applications -- Suggestions for further work Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems Orthogonal polynomials Functions, Special Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s Spezielle Funktion (DE-588)4182213-4 s 1\p DE-604 Society for Industrial and Applied Mathematics Sonstige oth National Science Foundation Regional Conference <1974, Virginia Polytechnic Institute> Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 0898710189 Erscheint auch als Druck-Ausgabe, Paperback 9780898710182 CBMS-NSF regional conference series in applied mathematics 21 (DE-604)BV046682627 21 https://doi.org/10.1137/1.9781611970470 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Askey, Richard 1933-2019 Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 CBMS-NSF regional conference series in applied mathematics Orthogonal polynomials Functions, Special Orthogonale Polynome (DE-588)4172863-4 gnd Spezielle Funktion (DE-588)4182213-4 gnd |
| subject_GND | (DE-588)4172863-4 (DE-588)4182213-4 |
| title | Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 |
| title_auth | Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 |
| title_exact_search | Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 |
| title_full | Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 Richard Askey |
| title_fullStr | Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 Richard Askey |
| title_full_unstemmed | Orthogonal polynomials and special functions Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 Richard Askey |
| title_short | Orthogonal polynomials and special functions |
| title_sort | orthogonal polynomials and special functions lectures given at the national science foundation regional conference held at virginia polytechnic institute in june 1974 |
| title_sub | Lectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974 |
| topic | Orthogonal polynomials Functions, Special Orthogonale Polynome (DE-588)4172863-4 gnd Spezielle Funktion (DE-588)4182213-4 gnd |
| topic_facet | Orthogonal polynomials Functions, Special Orthogonale Polynome Spezielle Funktion |
| url | https://doi.org/10.1137/1.9781611970470 |
| volume_link | (DE-604)BV046682627 |
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