Results 1 to 10 of about 16,792 (254)

Elliptic cliffordian functions [PDF]

Complex Variables and Elliptic Equations, 2001
In the study of holomorphic functions of one complex variable, one well-known theory is that of elliptic functions and it is possible to take the zeta-function of Weierstrass as a building stone of this vast theory. We are working the analogue theory in the natural context of higher dimensional spaces : holomorphic and elliptic Cliffordian functions.
Laville, Guy, Ramadanoff, Ivan
exaly   +6 more sources

Generalised elliptic functions [PDF]

Open Mathematics, 2012
Abstract We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstraß ℘-function using two different approaches.
England Matthew, Athorne Chris
openaire   +4 more sources

Elliptic hypergeometric functions associated with root systems [PDF]

, 2020
We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two in essence form an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integrals ...
Warnaar, Ole,, Rosengren, Hjalmar,, Rosengren, Hjalmar, Warnaar, Ole   +3 more
core   +1 more source

Elliptic hypergeometric functions [PDF]

, 2020
Lecture notes for a course given at the summer school OPSF-S6, College Park, Maryland, 11-15 July 2016.In these lecture notes I give an elementary introduction to elliptic hypergeometric functions.
Hjalmar Rosengren, Rosengren, Hjalmar,, Rosengren, Hjalmar   +2 more
core   +1 more source

Elliptic Combinatorics and Markov Processes [PDF]

, 2012
We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core   +1 more source

Reliable Computation of Elliptic Functions [PDF]

J. Univers. Comput. Sci., 1998
JUCS - Journal of Universal Computer Science Volume Nr.
Luther,Wolfram, Otten,Werner
openaire   +2 more sources

Upper bound for the height of S-integral points on elliptic curves [PDF]

, 2013
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea, Bosser, Vincent, Andrea Surroca, Vincent Bosser   +3 more
core   +1 more source

Uncertainty quantification and weak approximation of an elliptic inverse problem [PDF]

, 2011
We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion coefficient for a linear uniformly elliptic partial differential equation ...
Worthington, Claire, Robinson, Stewart, Davis, Neil D., Radnor, Zoe, Cooke, Matthew W, Burgess, Nicola, Cooke, Matthew, M. Dashti, Davies, Neil, Dashti, M., A. M. Stuart, Masoumeh Dashti (4463344), Worthington, Claire H, A M Stuart (13396491), Stuart, A. M.   +14 more
core   +1 more source

Elliptical Functional Models

Journal of Multivariate Analysis, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vilca Labra, F, Arellano Valle, RB, Bolfarine, H   +2 more
openaire   +2 more sources

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]

, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James, BIGGS, JAMES DOUGLAS, James D. Biggs   +2 more
core   +1 more source