Weierstrass%20product
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21—30 of 271 matching pages
21: 23.19 Interrelations
22: 23.12 Asymptotic Approximations
23: 31.2 Differential Equations
24: 27.15 Chinese Remainder Theorem
25: 1.10 Functions of a Complex Variable
§1.10(ix) Infinite Products
… βΊThe convergence of the infinite product is uniform if the sequence of partial products converges uniformly. βΊ-test
… βΊWeierstrass Product
…26: 20 Theta Functions
Chapter 20 Theta Functions
…27: 29.2 Differential Equations
28: Errata
This subsection has been significantly updated. In particular, the following formulae have been corrected. Equation (19.25.35) has been replaced by
in which the left-hand side has been replaced by for some , and the right-hand side has been multiplied by . Equation (19.25.37) has been replaced by
in which the left-hand side has been replaced by and the right-hand side has been multiplied by . Equation (19.25.39) has been replaced by
in which the left-hand side was replaced by , for some and . Equation (19.25.40) has been replaced by
in which the left-hand side has been replaced by , and the right-hand side was multiplied by . For more details see §19.25(vi).
The Weierstrass lattice roots were linked inadvertently as the base of the natural logarithm. In order to resolve this inconsistency, the lattice roots , and lattice invariants , , now link to their respective definitions (see §§23.2(i), 23.3(i)).
Reported by Felix Ospald.
The Weierstrass zeta function was incorrectly linked to the definition of the Riemann zeta function. However, to the eye, the function appeared correct. The link was corrected.
Originally the denominator was given incorrectly as .
Reported 2012-02-16 by James D. Walker.