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On a family of multivariate modified Humbert polynomials. [PDF]
ScientificWorldJournal, 2013 Aktaş R, Erkuş-Duman E.
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Texture tomography, a versatile framework to study crystalline texture in 3D. [PDF]
IUCrJFrewein MPK +7 more
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Monotone and fast computation of Euler's constant. [PDF]
J Inequal Appl, 2017 Adell JA, Lekuona A.
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An introduction to the mathematical structure of the Wright-Fisher model of population genetics. [PDF]
Theory Biosci, 2013 Tran TD, Hofrichter J, Jost J.
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A path integral formulation of the Wright-Fisher process with genic selection. [PDF]
Theor Popul Biol, 2014 Schraiber JG.
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Operational method of solution of linear non-integer ordinary and partial differential equations. [PDF]
Springerplus, 2016 Zhukovsky KV.
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Information entropy of Gegenbauer polynomials
Journal of Physics A: Mathematical and General, 2000The information entropy of Gegenbauer polynomials is relevant since this is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D dimensions. We give an effective method to compute the entropy for Gegenbauer polynomials with an integer parameter and ...
V S Buyarov +3 more
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Higher Spin Generalisation of the Gegenbauer Polynomials
Complex Analysis and Operator Theory, 2016In this paper we generalise the harmonic Gegenbauer polynomials to the higher spin setting. To do so we will consider the space of simplicial harmonics and look for polynomials that are invariant with respect to a particular subalgebra of the orthogonal Lie algebra.
David Eelbode, Tim Janssens
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Appendix: Gegenbauer Polynomials
2016This chapter collects some properties of the Gegenbauer polynomials that we use throughout this work, in particular, in the proof of the explicit formulae for differential symmetry breaking operators (Theorems 1.5, 1.6, 1.7, and 1.8) and the factorization identities for special parameters (Theorems 13.1, 13.2, and 13.3).
Michael Pevzner +2 more
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Journal of Computational Physics, 2013
We present a simple and fast algorithm for the computation of the Gegenbauer transform, which is known to be very useful in the development of spectral methods for the numerical solution of ordinary and partial differential equations of physical interest.
De Micheli Enrico +1 more
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We present a simple and fast algorithm for the computation of the Gegenbauer transform, which is known to be very useful in the development of spectral methods for the numerical solution of ordinary and partial differential equations of physical interest.
De Micheli Enrico +1 more
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