Evaluation of the half-periods of the Weierstrass $\wp $-function for the absolute invariant greater than one

Ján Chrapan

Displaying similar documents to “Evaluation of the half-periods of the Weierstrass $℘$ -function for the absolute invariant greater than one”

Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Eduard Feireisl (1990)

Aplikace matematiky

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A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of $L \infty$ - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.

Singular moduli (4)

G. Watson (1937)

Prace Matematyczno-Fizyczne

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Norm estimates of discrete Schrödinger operators

Ryszard Szwarc (1998)

Colloquium Mathematicae

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Harper’s operator is defined on $ℓ^{2} (Z)$ by $H_{θ} ξ (n) = ξ (n + 1) + ξ (n - 1) + 2 cos n θ ξ (n),$ where $θ \in [0, π]$ . We show that the norm of $∥ H_{θ} ∥$ is less than or equal to $2 \sqrt{2}$ for $π / 2 \leq θ \leq π$ . This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.

A note on the integrals involving product of Hermite's polynomials

Jiří Fiala (1966)

Časopis pro pěstování matematiky

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Displaying similar documents to “Evaluation of the half-periods of the Weierstrass ℘ -function for the absolute invariant greater than one”

Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Singular moduli (4)

Norm estimates of discrete Schrödinger operators

A note on the integrals involving product of Hermite's polynomials

Displaying similar documents to “Evaluation of the half-periods of the Weierstrass $℘$ -function for the absolute invariant greater than one”