invariants
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1: 23.3 Differential Equations
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§23.3(i) Invariants, Roots, and Discriminant
βΊThe lattice invariants are defined by … βΊGiven and there is a unique lattice such that (23.3.1) and (23.3.2) are satisfied. …Similarly for and . As functions of and , and are meromorphic and is entire. …2: 23.4 Graphics
3: 23.14 Integrals
4: 23.19 Interrelations
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23.19.2
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23.19.3
βΊwhere are the invariants of the lattice with generators and ; see §23.3(i).
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5: 23.2 Definitions and Periodic Properties
6: 23.10 Addition Theorems and Other Identities
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23.10.1
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23.10.2
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23.10.3
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23.10.10
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βΊAlso, when is replaced by the lattice invariants
and are divided by and , respectively.
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7: 23.9 Laurent and Other Power Series
8: 23.23 Tables
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βΊAbramowitz and Stegun (1964) also includes other tables to assist the computation of the Weierstrass functions, for example, the generators as functions of the lattice invariants
and .
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