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Weierstrass zeta function


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21: Software Index
Open Source With Book Commercial
23 Weierstrass Elliptic and Modular Functions
‘✓’ indicates that a software package implements the functions in a section; ‘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. …
  • Commercial Software.

    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.

  • The following are web-based software repositories with significant holdings in the area of special functions. …
    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
  • U. Eckhardt (1980) Algorithm 549: Weierstrass’ elliptic functions. ACM Trans. Math. Software 6 (1), pp. 112–120.
  • H. M. Edwards (1974) Riemann’s Zeta Function. Academic Press, New York-London.
  • M. Eichler and D. Zagier (1982) On the zeros of the Weierstrass -function. Math. Ann. 258 (4), pp. 399–407.
  • E. Elizalde (1986) An asymptotic expansion for the first derivative of the generalized Riemann zeta function. Math. Comp. 47 (175), pp. 347–350.
  • E. Elizalde (1995) Ten Physical Applications of Spectral Zeta Functions. Lecture Notes in Physics. New Series m: Monographs, Vol. 35, Springer-Verlag, Berlin.