of or relating to operations or series that transcend ordinary geometrical operations or series
Examples of 'hypergeometric' in a sentence
hypergeometric
We also compute the canonical invariants for all dihedral groups as certain hypergeometric functions.
Arkady Berenstein, Yurii Burman 2009, 'Dunkl Operators and Canonical Invariants of Reflection Groups', Symmetry, Integrability and Geometry: Methods and Applicationshttp://dx.doi.org/10.3842/SIGMA.2009.057. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The dimensionless governing equations for this investigation are solved analytically using hypergeometric functions.
A.K. Abdul Hakeem, R. Kalaivanan, N. Vishnu Ganesh, B. Ganga 2014, 'Effect of partial slip on hydromagnetic flow over a porous stretching sheet with non-uniformheat source/sink, thermal radiation and wall mass transfer', Ain Shams Engineering Journalhttp://www.sciencedirect.com/science/article/pii/S209044791400029X. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Johanna Erdmenger, Nina Miekley 2018, 'Non-local observables at finite temperature in AdS/CFT', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP03(2018)034. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We prove that these matrix polynomials are characterized by the generalized hypergeometric matrix function.
Batahan Raed S., Bathanya A. A. 2018, 'On generalized Laguerre matrix polynomials', Acta Universitatis Sapientiae: Mathematicahttp://www.degruyter.com/view/j/ausm.2018.10.issue-1/ausm-2018-0003/ausm-2018-0003.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function.
Lin-Fang Deng, Chao-Yun Long, Zheng-Wen Long, Ting Xu 2018, 'Generalized Dirac Oscillator in Cosmic String Space-Time', Advances in High Energy Physicshttp://dx.doi.org/10.1155/2018/2741694. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Finally, connections between our generalized matching polynomial and hypergeometric functions are found.
Oswaldo Araujo, Mario Estrada, Daniel A. Morales, Juan Rada 2005, 'The higher-order matching polynomial of a graph', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/IJMMS.2005.1565. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
By doing this, we encounter the hypergeometric function.
Bashir Al-Hdaibat, Saleem Al-Ashhab, Ramadan Sabra 2019, 'Explicit Solutions and Bifurcations for a System of Rational Difference Equations',Mathematicshttp://www.mdpi.com/2227-7390/7/1/69. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Various types of properties and relations involving hypergeometric series are also established.
Seemon Thomas, Alex Thannippara 2013, 'Distribution of the LR criterion Up,m,n as a marginal distribution of a generalizedDirichlet model', Statisticahttp://rivista-statistica.unibo.it/article/view/3541. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also consider several applications of our main results to generalized hypergeometric functions.
F. Ghanim, M. Darus 2014, 'A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized HypergeometricFunctions', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/2014/374821. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Our tools are demonstrated for generalized hypergeometric functions.
Georg Puhlfürst, Stephan Stieberger 2016, 'Differential equations, associators, and recurrences for amplitudes', Nuclear Physics Bhttp://www.sciencedirect.com/science/article/pii/S0550321315003806. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)