for elliptic functions
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21—30 of 164 matching pages
21: Peter L. Walker
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►Walker’s books are An Introduction to Complex Analysis, published by Hilger in 1974, The Theory of Fourier Series and Integrals, published by Wiley in 1986, Elliptic Functions. A Constructive Approach, published by Wiley in 1996, and Examples and Theorems in Analysis, published by Springer in 2004.
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22: 22.19 Physical Applications
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§22.19(i) Classical Dynamics: The Pendulum
… ►§22.19(ii) Classical Dynamics: The Quartic Oscillator
… ►§22.19(iii) Nonlinear ODEs and PDEs
… ►§22.19(v) Other Applications
… ►23: 22.10 Maclaurin Series
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§22.10(i) Maclaurin Series in
… ►§22.10(ii) Maclaurin Series in and
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22.10.4
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22.10.6
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24: 22 Jacobian Elliptic Functions
Chapter 22 Jacobian Elliptic Functions
…25: 22.21 Tables
§22.21 Tables
… ►Tables of theta functions (§20.15) can also be used to compute the twelve Jacobian elliptic functions by application of the quotient formulas given in §22.2.26: 22.12 Expansions in Other Trigonometric Series and Doubly-Infinite Partial Fractions: Eisenstein Series
§22.12 Expansions in Other Trigonometric Series and Doubly-Infinite Partial Fractions: Eisenstein Series
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22.12.2
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22.12.8
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22.12.11
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22.12.13
27: 21.8 Abelian Functions
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►In consequence, Abelian functions are generalizations of elliptic functions (§23.2(iii)) to more than one complex variable.
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28: 22.20 Methods of Computation
§22.20 Methods of Computation
… ►§22.20(iii) Landen Transformations
… ►§22.20(iv) Lattice Calculations
… ►§22.20(v) Inverse Functions
… ►29: 19.10 Relations to Other Functions
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§19.10(i) Theta and Elliptic Functions
…30: Sidebar 22.SB1: Decay of a Soliton in a Bose–Einstein Condensate
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►Jacobian elliptic functions arise as solutions to certain nonlinear Schrödinger equations, which model many types of wave propagation phenomena.
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