Weierstrass%20P-function
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11: Peter L. Walker
12: 23.23 Tables
§23.23 Tables
… ►2 in Abramowitz and Stegun (1964) gives values of , , and to 7 or 8D in the rectangular and rhombic cases, normalized so that and (rectangular case), or and (rhombic case), for = 1. …05, and in the case of the user may deduce values for complex by application of the addition theorem (23.10.1). ►Abramowitz 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 . ►For earlier tables related to Weierstrass functions see Fletcher et al. (1962, pp. 503–505) and Lebedev and Fedorova (1960, pp. 223–226).13: 23.1 Special Notation
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►The main functions treated in this chapter are the Weierstrass
-function
; the Weierstrass zeta function
; the Weierstrass sigma function
; the elliptic modular function
; Klein’s complete invariant ; Dedekind’s eta function
.
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lattice in . | |
… | |
nome. | |
discriminant . | |
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14: William P. Reinhardt
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►In November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.
15: 23.6 Relations to Other Functions
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§23.6(i) Theta Functions
… ►§23.6(ii) Jacobian Elliptic Functions
… ►§23.6(iii) General Elliptic Functions
… ►§23.6(iv) Elliptic Integrals
… ►16: 23.5 Special Lattices
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