One-parameter system of functional equation. (Summary).
Stefania Paganoni-Marzegalli (1993)
Aequationes mathematicae
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Displaying similar documents to “On a functional equation for Jacobi's elliptic function cn(z; k).”
One-parameter system of functional equation. (Summary).
Pentagramma mirificum and elliptic functions (Napier, Gauss, Poncelet, Jacobi, ...)
Vadim Schechtman (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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We give an exposition of unpublished fragments of Gauss where he discovered (using a work of Jacobi) a remarkable connection between Napier pentagons on the sphere and Poncelet pentagons on the plane. As a corollary we find a parametrization in elliptic functions of the classical dilogarithm five-term relation.
On the Jacobi series.
B. Schweizer (1987)
Aequationes mathematicae
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Jacobi elliptic functions and change of variable in a convolution.
Paul McGill (1990)
Aequationes mathematicae
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Integration of the perturbated Jacobi problem.
Dragović, Vladimir (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Efficient Implementation of Jacobi's Diagonalization Method on the DAP.
J.J. Modi, J.D. Pryce (1985)
Numerische Mathematik
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Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
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The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence...