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Exercise as a Molecular Therapeutic Tool in MASLD: From Signaling Pathways to Clinical Translation-A Narrative Review. [PDF]
Fuentes-Barría H +4 more
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Effectiveness of focal muscle vibrations in improving sensorimotor performance, mobility and strength in spinal cord injury population: a systematic review. [PDF]
Ashfaque M +5 more
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The incomplete gamma functions
The Mathematical Gazette, 2016Recall 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, 2018zbMATH 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian-Qi Luo +3 more
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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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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, 2015AbstractMany 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, 1979We 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
2017The 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, 2003The 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 +2 more
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