Forward \((\alpha,\beta)\)-difference operator and some applications in number theory (Q2906327)
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scientific article; zbMATH DE number 6077364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Forward \((\alpha,\beta)\)-difference operator and some applications in number theory |
scientific article; zbMATH DE number 6077364 |
Statements
5 September 2012
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forward \((\alpha,\beta)\)-difference operator
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arithmetic-double geometric series
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Forward \((\alpha,\beta)\)-difference operator and some applications in number theory (English)
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The theory of the forward difference operator \(\Delta_h\) is extended to the forward \((\alpha,\beta)\)-difference operator \(\Delta_{(\alpha,\beta)h}\), and the discrete version of the Leibniz theorem and binomial theorem with reference to \(\Delta_{(\alpha,\beta)h}\) is presented. Six examples illustrating the results are given.
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