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Some results on the digamma function |
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PP: 167-170 |
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Author(s) |
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Biljana Jolevska-Tuneska,
Ilija Jolevski,
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Abstract |
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The digamma function is defined for $x>0$ as a locally summable function on the real line by
$$\psi(x)=-\gamma+\int_0^{\infty}\frac{e^{-t}-e^{-xt}}{1-e^{-t}}\,dt\,.$$ In this paper we use the neutrix calculus to extend the definition for digamma function for the negative integers. Also we consider the derivatives of the digamma function for negative integers. |
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