Über Polynomsysteme, die Sturm-Liouvilleschen Differenzengleichungen genügen. (German) Zbl 0107.05403
Keywords:
special functionsReferences:
| [1] | Bochner, S.: Über Sturm-Liouvillesche Polynomsysteme. Math. Z.29, 730-736 (1929). · JFM 55.0260.01 · doi:10.1007/BF01180560 |
| [2] | Fort, T.: Finite Differences and Difference Equations in the real Domain. Oxford 1948. · Zbl 0030.11902 |
| [3] | Szegö, G.: Orthogonal Polynomials. Amer. Math. Soc. Coll. Publ.23, New York 1939. · JFM 65.0278.03 |
| [4] | Lesky, P.: Unendliche orthogonale Matrizen und Laguerresche Matrizen. Monatsh. f. Math.63, 59-83 (1958). · Zbl 0085.28703 · doi:10.1007/BF01328819 |
| [5] | ?: Die Übersetzung der klassischen orthogonalen Polynome in die Differenzenrechnung. Monatsh. f. Math.65, 1-26 (1961). · Zbl 0097.05501 · doi:10.1007/BF01322656 |
| [6] | Encycl. d. scienc. mathém. 1/4. Kap. 27, Séries d’interpolation, insbes. S: 156. |
| [7] | Hahn, W.: Über Orthogonalpolynome, dieq-Differenzengleichungen genügen. Math. Nachrichten2, 4-34 (1949). · Zbl 0031.39001 · doi:10.1002/mana.19490020103 |
| [8] | Bateman, H.: Some properties of a set of polynomials. Tohoku math. J.37, 23-38 (1933). · JFM 59.0364.02 |
| [9] | Lesky, P.: Orthogonale Polynomsysteme als Lösungen Sturm-Liouvillescher Differenzengleichungen. Monatsh. f. Math. (im Druck). · Zbl 0105.05302 |
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