Weierstrass’s

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21: 19.25 Relations to Other Functions

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§19.25(ii) Bulirsch’s Integrals as Symmetric Integrals

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§19.25(vi) Weierstrass Elliptic Functions

… ►Let $𝕃$ be a lattice for the Weierstrass elliptic function $\mathrm{\wp }\left(z\right)$. …The sign on the right-hand side of (19.25.35) will change whenever one crosses a curve on which , for some $j$. … ►for some $2{\omega }_j\in 𝕃$ and $\mathrm{\wp }\left({\omega }_j\right)=e_j$. …

22: Bibliography E

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Algorithm 549: Weierstrass’ elliptic functions. ACM Trans. Math. Software 6 (1), pp. 112–120.

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Notes:

Single-precision Fortran, maximum accuracy 18D.

External Links:

ISSN 0098-3500, Document, GAMS (module 549; package TOMS)

Referenced by:

1st item.

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BibTeX

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Riemann’s Zeta Function. Academic Press, New York-London.

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Notes:

Pure and Applied Mathematics, Vol. 58. Reprinted by Dover Publications Inc., Mineola, NY, 2001.

External Links:

MathReview (Bruce C. Berndt), ZentralBlatt

Referenced by:

Ch.25.

Encodings:

BibTeX

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On the zeros of the Weierstrass $\mathrm{\wp }$-function. Math. Ann. 258 (4), pp. 399–407.

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External Links:

ISSN 0025-5831, Document, MathReview (Toyokazu Hiramatsu), ZentralBlatt

Referenced by:

§23.13.

Encodings:

BibTeX

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Further results on McMahon’s asymptotic approximations. J. Phys. A 33 (36), pp. 6333–6341.

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External Links:

ISSN 0305-4470, Document, MathReview (R. G. Aĭrapetyan), ZentralBlatt

Referenced by:

§10.21(vi).

Encodings:

BibTeX

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Waring’s problem. Amer. Math. Monthly 78 (1), pp. 10–36.

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External Links:

Document, FullText, MathReview (J. W. S. Cassels), ZentralBlatt

Referenced by:

§27.13(iii), §27.13(iii).

Encodings:

BibTeX

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23: 1.10 Functions of a Complex Variable

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Picard’s Theorem

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Rouché’s Theorem

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Schwarz’s Lemma

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$M$-test

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Weierstrass Product

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