Results 11 to 20 of about 694 (184)
A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions [PDF]
International Journal of Differential Equations, 2012 A nonlinear differential equation for the polar angle of a point of an ellipse is derived. The solution of this differential equation can be expressed in terms of the Jacobi elliptic function dn(u,k).
Kim Johannessen
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Exponential Riordan arrays and Jacobi elliptic functions [PDF]
Linear and Multilinear Algebra, 2021 This paper establishes relationships between elliptic functions and Riordan arrays leading to new classes of Riordan arrays which here are called elliptic Riordan arrays. In particular, the case of Riordan arrays derived from Jacobi elliptic functions that are parameterized by the elliptic modulus $k$ will be treated here.
Mwafise, Arnauld Mesinga, Barry, Paul
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Cyclic identities involving Jacobi elliptic functions [PDF]
Journal of Mathematical Physics, 2002 We state and discuss numerous new mathematical identities involving Jacobi elliptic functions sn(x,m), cn(x,m), and dn(x,m), where m is the elliptic modulus parameter. In all identities, the arguments of the Jacobi functions are separated by either 2K(m)/p or 4K(m)/p, where p is an integer and K(m) is the complete elliptic integral of the first kind ...
Khare, Avinash, Sukhatme, Uday
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Jacobi Elliptic Cliffordian Functions [PDF]
Complex Variables, Theory and Application: An International Journal, 2002 The well-known Jacobi elliptic functions sn(z)$, $cn(z), dn(z) are defined in higher dimensional spaces by the following method. Consider the Clifford algebra of the antieuclidean vector space of dimension 2m+1. Let x be the identity mapping on the space of scalars + vectors.
Laville, Guy, Ramadanoff, Ivan
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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Local identities involving Jacobi elliptic functions [PDF]
Pramana, 2004 47 ...
Khare, Avinash +2 more
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Journal of Applied Mathematics, 2013 We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
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On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions
Axioms, 2015 In this article, we move back almost 200 years to Christoph Gudermann, the great expert on elliptic functions, who successfully put the twelve Jacobi functions in a didactic setting. We prove the second hyperbolic series expansions for elliptic functions
Thomas Ernst
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On Properties of Elliptic Jacobi Functions and Applications [PDF]
Journal of Nonlinear Mathematical Physics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cyclic identities for Jacobi elliptic and related functions [PDF]
Journal of Mathematical Physics, 2003 Identities involving cyclic sums of terms composed from Jacobi elliptic functions evaluated at p equally shifted points on the real axis were recently found. These identities played a crucial role in discovering linear superposition solutions of a large number of important nonlinear equations. We derive four master identities, from which the identities
Khare, Avinash +2 more
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