representation as Weierstrass elliptic functions
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§23.11 Integral Representations…
§23.6(iii) General Elliptic Functions►For representations of general elliptic functions (§23.2(iii)) in terms of and see Lawden (1989, §§8.9, 8.10), and for expansions in terms of see Lawden (1989, §8.11). …
Pochhammer symbol representations for the functions and were inserted.
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.
These equations were rewritten with the modulus (second argument) of the Jacobian elliptic function defined explicitly in the preceding line of text.
Originally a minus sign was missing in the entries for and in the second column (headed ). The correct entries are and . Note: These entries appear online but not in the published print edition. More specifically, Table 22.4.3 in the published print edition is restricted to the three Jacobian elliptic functions , whereas Table 22.4.3 covers all 12 Jacobian elliptic functions.
Reported 2014-02-28 by Svante Janson.