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Bibliographische Detailangaben
Beteilige Person: Askey, Richard 1933-2019 (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
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
Schlagwörter:
Links:https://doi.org/10.1137/1.9781611970470
https://doi.org/10.1137/1.9781611970470
https://doi.org/10.1137/1.9781611970470
https://doi.org/10.1137/1.9781611970470
https://doi.org/10.1137/1.9781611970470
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
Umfang:1 Online-Ressource (xi, 105 Seiten)
ISBN:0898710189
9780898710182
DOI:10.1137/1.9781611970470