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单词 gamma function
释义

gamma function in British English

noun
mathematics
a function defined by Γ(x) = ∫0∞tx–1e–tdt, where x is real and greater than zero

Examples of 'gamma function' in a sentence
gamma function

As a corollary, two new identities for the gamma function are exhibited.
F. M. Atici, Paul Eloe 2009, 'Discrete fractional calculus with the nabla operator', Electronic Journal of Qualitative Theory of Differential Equationshttp://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=404. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Such functions have been used from different authors to obtain inequalities concerning the gamma function.
Kupán Pál A., Márton Gyöngyvér, Szász Róbert 2017, 'A result regarding monotonicity of the Gamma function', Acta Universitatis Sapientiae: Mathematicahttp://www.degruyter.com/view/j/ausm.2017.9.issue-2/ausm-2017-0022/ausm-2017-0022.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
These results and their consequences are obtained using the known results of the gamma function.
Sourav Das, A Swaminathan 2016, 'Bounds for triple gamma functions and their ratios', Journal of Inequalities and Applicationshttp://link.springer.com/article/10.1186/s13660-016-1153-6. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The constant factors related to the gamma function are proved to be the best possible.
Jianquan Liao, Bicheng Yang 2017, 'On Hardy-type integral inequalities with the gamma function', Journal of Inequalities and Applicationshttp://link.springer.com/article/10.1186/s13660-017-1404-1. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Moreover, gamma function was used to compare the measurement and simulation data.
Dowlatabadi H., Mowlavi A. A., Ghorbani M., Mohammadi S. 2017, 'Monte Carlo Simulation of Siemens Primus plus Linac for 6 and 18 MV Photon Beams',Journal of Biomedical Physics and Engineeringhttp://www.jbpe.org/Journal_OJS/JBPE/index.php/jbpe/article/view/754/383. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Based on the obtained result, we establish new bounds for the gamma function.
Xin Li, Chao-Ping Chen 2017, 'Padé approximant related to asymptotics for the gamma function', Journal of Inequalities and Applicationshttp://link.springer.com/article/10.1186/s13660-017-1315-1. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk 2019, 'Characterizations of compact operators on ℓp−type fractional sets of sequences', Demonstratio Mathematicahttp://www.degruyter.com/view/j/dema.2019.52.issue-1/dema-2019-0015/dema-2019-0015.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The incomplete gamma function was used to fit the individual curves from the genetic groups evaluated.
Joana Ribeiro da Glória, José Aurélio Garcia Bergmann, Célia Raquel Quirino, JoséReinaldo Mendes Ruas, Jonas Carlos Campos Pereira, Ronaldo Braga Reis, Sandra GesteiraCoelho, Martinho de Almeida e Silva 2012, 'Environmental and genetic effects on the lactation curves of four genetic groups ofcrossbred Holstein-Zebu cows', Revista Brasileira de Zootecniahttp://www.scielo.br/scielo.php?script=sci_arttext&pid=S1516-35982012001100002. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The distribution parameters are found by numerical solution of transcendental equation with the definition of the gamma function interpolation formula.
Goldaev Sergey V., Radyuk Karina N. 2015, 'High-Power Wind Turbine: Performance Calculation', MATEC Web of Conferenceshttp://dx.doi.org/10.1051/matecconf/20152301015. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Furthermore, to account for the cell cycle, we introduced a gamma function for the waiting time involved in cell division.
Watal M. Iwasaki, Hideki Innan 2017, 'Simulation framework for generating intratumor heterogeneity patterns in a cancercell population', PLOS ONE10.1371/journal.pone.0184229. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
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更新时间：2025/1/24 16:00:05