Some results on the digamma function

Authors

Biljana Jolevska-Tuneska, Faculty of Electrical Engineering and Informational Technologies, Karpos II bb, Skopje, Republic of Macedonia
Ilija Jolevski

Author Country (or Countries)

Republic of Macedonia

Abstract

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.

Suggested Reviewers

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Recommended Citation

Jolevska-Tuneska, Biljana and Jolevski, Ilija (2013) "Some results on the digamma function," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 20.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/20