# Weierstrass zeta function

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## 21—23 of 23 matching pages

##### 21: Software Index

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►‘✓’ indicates that a software package implements the functions in a section; ‘
Commercial Software.
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►The following are web-based software repositories with significant holdings in the area of special functions.
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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23 Weierstrass Elliptic and Modular Functions | |||||||||||||||||||||||||

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*a*’ indicates available functionality through optional or add-on packages; an empty space indicates no known support. … ►In the list below we identify four main sources of software for computing special functions. … ►Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.

##### 22: 20.9 Relations to Other Functions

###### §20.9 Relations to Other Functions

►###### §20.9(i) Elliptic Integrals

… ►###### §20.9(ii) Elliptic Functions and Modular Functions

►See §§22.2 and 23.6(i) for the relations of Jacobian and Weierstrass elliptic functions to theta functions. … ►###### §20.9(iii) Riemann Zeta Function

…##### 23: Bibliography E

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Algorithm 549: Weierstrass’ elliptic functions.
ACM Trans. Math. Software 6 (1), pp. 112–120.
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Riemann’s Zeta Function.
Academic Press, New York-London.
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On the zeros of the Weierstrass
$\mathrm{\wp}$-function.
Math. Ann. 258 (4), pp. 399–407.
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An asymptotic expansion for the first derivative of the generalized Riemann zeta function.
Math. Comp. 47 (175), pp. 347–350.
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Ten Physical Applications of Spectral Zeta Functions.
Lecture Notes in Physics. New Series m: Monographs, Vol. 35, Springer-Verlag, Berlin.
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