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arXiv · 1407.0349

Defining Incomplete Gamma Type Function with Negative Arguments and Polygamma functions $ψ^{(n)}(-m)$

Emin Özçağ·İnci Ege
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Abstract

In this paper the incomplete gamma function $γ(α,x)$ and its derivative is considered for negative values of $α$ and the incomplete gamma type function $γ_*(α,x_-)$ is introduced. Further the polygamma functions $ψ^{(n)}(x)$ are defined for negative integers via the neutrix setting.

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BibTeXRIS

Emin Özçağ, İnci Ege. 2014-06-27. Defining Incomplete Gamma Type Function with Negative Arguments and Polygamma functions $ψ^{(n)}(-m)$. https://arxiv.org/abs/1407.0349

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