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Co-Cultivation Assays for Detecting Infectious Human-Tropic Porcine Endogenous Retroviruses (PERVs). [PDF]

Int J Mol Sci
Denner J.
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The incomplete gamma functions

The Mathematical Gazette, 2016
Recall the integral definition of the gamma function: for a > 0. By splitting this integral at a point x ⩾ 0, we obtain the two incomplete gamma functions :
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Grünbaum-Type Inequalities for Gamma and Incomplete Gamma Functions

Results in Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
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New Sharp Approximations Involving Incomplete Gamma Functions

Results in Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian-Qi Luo, Hui-Lin Lv, Zhen-Hang Yang, Shen-Zhou Zheng   +3 more
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The Incomplete Gamma Function

1989
This table contains values of \(F(x;\alpha ) = \int_0^x {{1 \over {\Gamma (\alpha )}}{y^{\alpha -1}}{e^{ -y}}dy.} \)
Stephen Kokoska, Christopher Nevison
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Products of incomplete gamma functions

Analysis, 2015
AbstractMany properties of gamma functions are known. In this paper, we extend similar properties to incomplete gamma functions.
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A Computational Procedure for Incomplete Gamma Functions

ACM Transactions on Mathematical Software, 1979
We develop a computational procedure, based on Taylor's series and continued fractions, for evaluating Tncomi's incomplete gamma functmn 7*(a, x) = (x-"/F(a))S~ e-~t'-ldt and the complementary incomplete gamma function F(a, x) = $7 e-tt "-1 dt, suitably normalized, m the region x >_. 0, -oo < a < oo.
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The Gamma Function and the Incomplete Gamma Functions

2017
The gamma function is defined for \(s \in \mathbb{C}\) by $$\displaystyle{ \varGamma \left (s\right ) =\int _{ 0}^{\infty }t^{s-1}e^{-t}dt }$$
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On Defining The Incomplete Gamma Function

Integral Transforms and Special Functions, 2003
The incomplete Gamma function $\gamma \lpar \alpha\comma \; x_+\rpar $ is defined as locally summable function on the real line for $\alpha \gt 0$ by $$\gamma \lpar \alpha\comma \; x_+\rpar =\vint_0^{x_+} u^{\alpha -1} e^{-u}\, \hbox{d}u\comma$$ the integral diverging for $\alpha\leq 0$ .
Fisher, Brian, Jolevsaka-Tuneska, Biljana, KiliÇman, Adem   +2 more
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Inequalities for the Incomplete Gamma and Related Functions

Mathematical Inequalities & Applications, 1999
The authors offer lower and upper estimates for \(\int_{0}^{x}e^{t^{p}}dt\) and for the similar function with \(-t^{p}\) in the exponent, furthermore examples showing that these are not comparable to those found by \textit{H. Alzer} (Math.Comp. 66, 771-778 (1997; Zbl 0865.33002).
Qi, Feng, Guo, Sen-Lin
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