Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials (Q645371)
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scientific article; zbMATH DE number 5971758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials |
scientific article; zbMATH DE number 5971758 |
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Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials (English)
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15 November 2011
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The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established. The authors prove also a result that gives the differential equation which the Laguerre-Sheffer polynomials satisfy as well as a recurrence relation for these polynomials.
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Sheffer polynomials
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Laguerre-Sheffer polynomials
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Laguerre-Appell polynomials
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monomiality principle
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operational methods
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