Raising and lowering operators, factorization and differential/difference operators of hypergeometric type (Q2713731)
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scientific article; zbMATH DE number 1602916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Raising and lowering operators, factorization and differential/difference operators of hypergeometric type |
scientific article; zbMATH DE number 1602916 |
Statements
Raising and lowering operators, factorization and differential/difference operators of hypergeometric type (English)
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10 June 2001
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raising
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lowering operators
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Rodrigues formula
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classical orthogonal functions
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0.8856908
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0.8845914
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0.8842159
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0.88213336
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0.8815286
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0.87707007
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In this paper, the classical systems of one-dimensional hypergeometric orthogonal functions in continuous and discrete variables are compared by using the associated Sturm-Liuoville differential equations or second-order difference equations respectively. In particular, certain raising and lowering operators lead to a generalization of the so-called Infeld-Hull-Miller factorization. Most results of this paper are well-known.
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