New generating functions for hypergeometric polynomials (Q1063159)
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scientific article; zbMATH DE number 3914735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New generating functions for hypergeometric polynomials |
scientific article; zbMATH DE number 3914735 |
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New generating functions for hypergeometric polynomials (English)
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1985
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The authors obtain some linear generating functions for hypergeometric polynomials given by \[ \nu_ n(x)=\sum^{n}_{k=0}(-1)^ kn!P_ k(x)/(k!)^ 2(n-k)!, \] derive, as special cases, generalizations of some known generating functions and also give a few generating functions in terms of double hypergeometric functions of Humbert and Horn.
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Hermite polynomials
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Humbert's function
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Horn's function
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hypergeometric polynomials
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generating functions
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