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Special Functions
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Demonstrations 1 - 20 of 152
Examples of 2D Harmonic FunctionsLandau Levels in a Magnetic FieldWigner Function of Two-Dimensional Isotropic Harmonic OscillatorApproximating Pi with Trigonometric-Polynomial IntegralsFour Hypergeometric Lattice Walks
Examples of 2D Harmonic Functions
New this month
Landau Levels in a Magnetic Field
Wigner Function of Two-Dimensional Isotropic Harmonic Oscillator
Approximating Pi with Trigonometric-Polynomial Integrals
Four Hypergeometric Lattice Walks
Asymptotic Expansions for Some Special FunctionsDeriving Hypergeometric Picard-Fuchs EquationsDiscrete and Continuous Quartic Anharmonic OscillationEdwards's Solution of Pendulum OscillationWeierstrass Solution of Cubic Anharmonic Oscillation
Asymptotic Expansions for Some Special Functions
Deriving Hypergeometric Picard-Fuchs Equations
Discrete and Continuous Quartic Anharmonic Oscillation
Edwards's Solution of Pendulum Oscillation
Weierstrass Solution of Cubic Anharmonic Oscillation
A Graphically Enhanced Method for Computing Real Roots of Nonlinear FunctionsHydrogen Atom Radial FunctionsHilbert Space Bases for Distinguishing Pure Quantum States in Low DimensionsMotzkin Numbers and Their Geometrical InterpretationCoulomb Wavefunctions
A Graphically Enhanced Method for Computing Real Roots of Nonlinear Functions
Hydrogen Atom Radial Functions
Hilbert Space Bases for Distinguishing Pure Quantum States in Low Dimensions
Motzkin Numbers and Their Geometrical Interpretation
Coulomb Wavefunctions
Angular Spheroidal Functions as a Function of SpheroidicityDzhanibekov EffectSolutions of the Elliptic Membrane ProblemEigensystems for Special RegionsSeader's Method for Real Roots of a Nonlinear Equation
Angular Spheroidal Functions as a Function of Spheroidicity
Dzhanibekov Effect
Solutions of the Elliptic Membrane Problem
Eigensystems for Special Regions
Seader's Method for Real Roots of a Nonlinear Equation

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