Weierstrass elliptic functions
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21—30 of 33 matching pages
21: 22.1 Special Notation
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22: 23.10 Addition Theorems and Other Identities
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§23.10(i) Addition Theorems
… ►§23.10(ii) Duplication Formulas
… ►§23.10(iii) -Tuple Formulas
… ►§23.10(iv) Homogeneity
…23: 23.12 Asymptotic Approximations
§23.12 Asymptotic Approximations
…24: 23.22 Methods of Computation
25: 19.25 Relations to Other Functions
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§19.25(vi) Weierstrass Elliptic Functions
… ►Let be a lattice for the Weierstrass elliptic function . … ►
19.25.35
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19.25.37
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19.25.40
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26: 32.13 Reductions of Partial Differential Equations
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►Depending whether or , is expressible in terms of the Weierstrass elliptic function (§23.2) or solutions of , respectively.
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27: 20.11 Generalizations and Analogs
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►As in §20.11(ii), the modulus of elliptic integrals (§19.2(ii)), Jacobian elliptic functions (§22.2), and Weierstrass elliptic functions (§23.6(ii)) can be expanded in -series via (20.9.1).
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28: 29.2 Differential Equations
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►we have
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29: Bibliography E
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Algorithm 549: Weierstrass’ elliptic functions.
ACM Trans. Math. Software 6 (1), pp. 112–120.
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