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2023 IEEE International Conference on Communications Workshops (ICC Workshops), 2023
This paper analyzes the outage probability of the maximal-ratio combining (MRC) detection in an uplink orthogonal frequency-division multiplexing (OFDM) based massive multiple-input, multiple-output (MMIMO) system over a frequency-selective Rayleigh ...
D. Chumchewkul +2 more
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This paper analyzes the outage probability of the maximal-ratio combining (MRC) detection in an uplink orthogonal frequency-division multiplexing (OFDM) based massive multiple-input, multiple-output (MMIMO) system over a frequency-selective Rayleigh ...
D. Chumchewkul +2 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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Computational and Applied Mathematics, 2021
Yoke Teng Toh, Chang Phang, Yong Xian Ng
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Yoke Teng Toh, Chang Phang, Yong Xian Ng
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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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