- HEUN FUNCTIONS VERSUS ELLIPTIC FUNCTIONS
2007/05/01 by Galliano Valent · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Elliptic function #Jacobi elliptic functions #Floquet theory #Mathematics #Elliptic rational functions #Generalization #Quarter period #Elliptic integral #Representation (politics) #Pure mathematics #Mathematical analysis #Applied mathematics #Algebra over a field #Elliptic curve #Physics #Nonlinear system
- A New Class of Infinite Products Generalizing Viète's Product Formula for π
2005/12/01 by Aaron Levin · 3 citations
Mathematics · #Advanced Mathematical Identities #Class (philosophy) #Combinatorics #Computer science #Constant (computer programming) #Elementary function #Elliptic function #Function (biology) #Functional Equations Stability Results #Geometry #Identity (music) #Infinite product #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Physics #Product (mathematics) #Pure mathematics #Simple (philosophy) #Trigonometric functions #Trigonometry
- On double-elliptic integrable systems
1999/06/29 by H. W. Braden, A. Marshakov, A. Mironov +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Angular momentum #Black Holes and Theoretical Physics #Classical mechanics #Coordinate system #Duality (order theory) #Elliptic coordinate system #Elliptic function #Geometry #Integrable system #Limiting #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Spherical coordinate system #Torus #hep-th
- Elliptic Functions and Elliptic Integrals
1997/09/16 by Viktor Prasolov, Yuri Solovyev · 5 citations
Mathematics · #Mathematics and Applications #History and Theory of Mathematics #Algebraic Geometry and Number Theory #Quarter period #Elliptic integral #Elliptic function #Jacobi elliptic functions #Mathematics #Elliptic rational functions #Elliptic curve #Supersingular elliptic curve #Quintic function #Schoof's algorithm #Nome #Division (mathematics) #Mathematical analysis #Algebraic geometry #Algebra over a field #Pure mathematics #Physics #Nonlinear system #Arithmetic
- Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
1992/01/01 by Jonathan M. Borwein, I. J. Zucker · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Electromagnetic Scattering and Analysis #Elliptic curve #Elliptic function #Elliptic integral #Elliptic rational functions #Fractional Differential Equations Solutions #Function (biology) #Gamma function #Jacobi elliptic functions #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics #Quadratic growth #Quarter period #Rational function
- Transformations of the Jacobian Amplitude Function and Its Calculation via the Arithmetic-Geometric Mean
1989/11/01 by K. Sala · 1 citation
Social Sciences · Mathematics · #Religion and Sociopolitical Dynamics in Nigeria #Mathematics #Jacobian matrix and determinant #Elliptic function #Mathematical analysis #Amplitude #Elliptic integral #Function (biology) #Transformation (genetics) #Elliptic curve #Complex plane #Applied mathematics
- The spectral function of an elliptic operator
1968/01/01 by Lars Hörmander · 85 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Arithmetic #Asymptotic formula #Differential operator #Elliptic function #Elliptic operator #Finite-rank operator #Fourier series #Fourier transform #Function (biology) #Gravitational singularity #Mathematical analysis #Mathematics #Operator (biology) #Physics and Engineering Research Articles #Pure mathematics #Quasinormal operator #Remainder #Semi-elliptic operator #Spectral function #Spectral theory of ordinary differential equations
- Some arithmetical applications of an elliptic function.
1964/06/01 by Tomio Kubota · 1 citation
Mathematics · #Arithmetic function #Elliptic function #Function (biology) #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematical and Theoretical Analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics