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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 7 > No. 1


Some results on the digamma function

PP: 167-170
Biljana Jolevska-Tuneska, Ilija Jolevski,
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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