Results 131 to 140 of about 320 (175)

Texture tomography, a versatile framework to study crystalline texture in 3D. [PDF]

IUCrJ
Frewein MPK, Mason J, Maier B, Cölfen H, Medjahed A, Burghammer M, Allain M, Grünewald TA.   +7 more
europepmc   +1 more source

A path integral approach for allele frequency dynamics under polygenic selection. [PDF]

Genetics
Anderson NW, Kirk L, Schraiber JG, Ragsdale AP.   +3 more
europepmc   +1 more source

Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization. [PDF]

Philos Trans A Math Phys Eng Sci
Burger M, Kabri S, Korolev Y, Roith T, Weigand L.   +4 more
europepmc   +1 more source

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Computing with Expansions in Gegenbauer Polynomials

SIAM Journal of Scientific Computing, 2009
We develop fast algorithms for computations involving finite expansions in Gegenbauer polynomials. A method is described to convert any finite expansion between different families of Gegenbauer polynomials. For a degree-$n$ expansion the computational cost is $\mathcal{O}(n(\log(1/\varepsilon)+|\alpha-\beta|))$, where $\varepsilon$ is the prescribed ...
exaly   +2 more sources

The expansion in Gegenbauer polynomials: A simple method for the fast computation of the Gegenbauer coefficients

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.
Enrico de Micheli
exaly   +3 more sources

ON GEGENBAUER POLYNOMIALS

Universal Journal of Mathematics and Mathematical Sciences, 2021
Summary: In this paper, it is shown that the terms of Gegenbauer polynomial satisfy the Jacobi identity.
Edeke, U. E., Udo, N. E.
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Derivatives of Generalized Gegenbauer Polynomials

Theoretical and Mathematical Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García Fuertes, W., Perelomov, A. M.
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Gegenbauer Polynomials Revisited

The Fibonacci Quarterly, 1985
Der Gegenstand dieser Arbeit sind spezielle Polynome, die sich in der Tafel der Gegenbauerschen Polynome entlang der abnehmenden Diagonalen bilden. Dabei werden einige Eigenschaften dieser Polynome diskutiert wie z.B. expliziter Ausdruck, erzeugende Funktion, rekurrenter Ausdruck, Differentialgleichung u.s.w.
openaire   +2 more sources

On the Behavior of Gegenbauer Polynomials in the Complex Plane

Results in Mathematics, 2012
A real entire function \(f\) is said to be in the the Laguerre-Pólya class, denoted by \(\mathcal L\)-\(\mathcal P\), if \(f\) is the uniform limit, on compact subsets of \(\mathbb C\), of polynomials all of whose zeros are real. If \(f\in \mathcal L\text{-}\mathcal P\), then it is known that \[ |f(x+iy)|^2=\sum_{k=0}^{\infty} L_k(f; x)y^{2k},\quad x ...
Nikolov, Geno, Alexandrov, Alexander
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Higher Spin Generalisation of the Gegenbauer Polynomials

Complex Analysis and Operator Theory, 2016
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David Eelbode, Tim Janssens
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