Weierstrass M-test
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11—20 of 36 matching pages
11: 23.1 Special Notation
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βΊThe 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 . | |
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nome. | |
discriminant . | |
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12: 23.6 Relations to Other Functions
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§23.6(i) Theta Functions
… βΊ§23.6(ii) Jacobian Elliptic Functions
… βΊ§23.6(iii) General Elliptic Functions
… βΊ§23.6(iv) Elliptic Integrals
… βΊ13: 23.5 Special Lattices
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§23.5(ii) Rectangular Lattice
… βΊIn this case the lattice roots , , and are real and distinct. … βΊ§23.5(iii) Lemniscatic Lattice
… βΊ§23.5(iv) Rhombic Lattice
… βΊ§23.5(v) Equianharmonic Lattice
…14: 23.11 Integral Representations
15: 23.19 Interrelations
16: 23.12 Asymptotic Approximations
17: 23.8 Trigonometric Series and Products
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§23.8(i) Fourier Series
… βΊ§23.8(ii) Series of Cosecants and Cotangents
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23.8.3
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βΊwhere in (23.8.4) the terms in and are to be bracketed together (the Eisenstein convention or principal value: see Weil (1999, p. 6) or Walker (1996, p. 3)).
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