The method of fractional operators applied to summation (Q1078731)
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scientific article; zbMATH DE number 3962157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of fractional operators applied to summation |
scientific article; zbMATH DE number 3962157 |
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The method of fractional operators applied to summation (English)
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1986
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The method of fractional operators is employed to obtain the following useful result involving the Psi function: \[ \psi (a)-\psi (a- b)=\frac{\Gamma (a)}{\Gamma (b)}\sum^{\infty}_{n=0}(\frac{\Gamma (b+n)}{\quad n\Gamma (a+n)}),\quad Re(a)>Re(b)\geq 0. \] This result is shown to have interesting particular cases.
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fractional operators
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Psi function
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