elliptic curves

SearchAdvancedHelp

(0.001 seconds)

21—27 of 27 matching pages

21: Bibliography T

… ►

Some definite integrals and Fourier series for Jacobian elliptic functions. Z. Angew. Math. Mech. 49, pp. 95–96.

ⓘ

External Links:

ISSN 0044-2267, Document, MathReview (B. C. Carlson), ZentralBlatt

Referenced by:

§22.11.

Encodings:

BibTeX

… ►

Algorithm 165: Complete elliptic integrals. Comm. ACM 6 (4), pp. 163–164.

ⓘ

Notes:

Includes Algol program, maximum accuracy 10D. For certification see same journal 6 (1963), pp. 166–167

External Links:

ISSN 0001-0782, Document

Referenced by:

§19.39(ii).

Encodings:

BibTeX

… ►

Hyperspherical elliptic harmonics and their relation to the Heun equation. Phys. Rev. A 63 (032510), pp. 1–8.

ⓘ

External Links:

Document

Referenced by:

§31.17(ii).

Encodings:

BibTeX

… ►

Eigenfrequencies of an elliptic membrane. Math. Comp. 27 (124), pp. 755–765.

ⓘ

External Links:

FullText, Document, MathReview (Radu Badescu), ZentralBlatt

Referenced by:

4th item.

Encodings:

BibTeX

… ►

Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves. Trans. Amer. Math. Soc. 365 (12), pp. 6697–6729.

ⓘ

External Links:

ISSN 0002-9947, Document, FullText, MathReview (John M. Voight), ZentralBlatt

Referenced by:

§15.8(v), §15.8(v).

Encodings:

BibTeX

…

22: 36.5 Stokes Sets

… ►The Stokes set is itself a cusped curve, connected to the cusp of the bifurcation set: … ►For $z=0$, the set consists of the two curves … ►

§36.5(iii) Umbilics

►

Elliptic Umbilic Stokes Set (Codimension three)

… ►In Figures 36.5.1–36.5.6 the plane is divided into regions by the dashed curves (Stokes sets) and the continuous curves (bifurcation sets). …

23: Bibliography J

… ►

Tables of Functions with Formulae and Curves. 4th edition, Dover Publications, New York.

ⓘ

Notes:

Contains corrections and enlargements of earlier editions. Originally published by B. G. Teubner, Leipzig, in 1933. In German and English.

External Links:

MathReview, ZentralBlatt

Referenced by:

2nd item, §20.15, §5.1, Notations P, E. Jahnke, F. Emde, and F. Lösch (1966).

Encodings:

BibTeX

… ►

Algorithm 73: Incomplete elliptic integrals. Comm. ACM 4 (12), pp. 543.

ⓘ

Notes:

Includes Algol program. For certification see same journal 6 (1963), p. 167, for remark see same journal 5 (1962), p. 514

External Links:

ISSN 0001-0782, Document

Referenced by:

§19.39(iii).

Encodings:

BibTeX

… ►

Java Tools for Experimental Mathematics

ⓘ

Notes:

Single and double precision. Contains packages to compute elliptic functions, Riemann theta functions and their derivatives, and Riemann matrices for Riemann surfaces.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index.

Encodings:

BibTeX

…

24: 28.33 Physical Applications

… ►Physical problems involving Mathieu functions include vibrational problems in elliptical coordinates; see (28.32.1). …In elliptical coordinates (28.32.2) becomes (28.32.3). … ►

Meixner and Schäfke (1954, §§4.3, 4.4) for elliptic membranes and electromagnetic waves.

… ►

Troesch and Troesch (1973) for elliptic membranes.

… ►For points $(q,a)$ that are at intersections of $ℒ$ with the characteristic curves $a=a_n\left(q\right)$ or $a=b_n\left(q\right)$, a periodic solution is possible. …

25: 36.7 Zeros

… ►Inside the cusp, that is, for , the zeros form pairs lying in curved rows. … ►

§36.7(iii) Elliptic Umbilic Canonical Integral

… ►The zeros are lines in $𝐱=(x,y,z)$ space where $\mathrm{ph}{\mathrm{\Psi }}^{(\mathrm{E})}\left(𝐱\right)$ is undetermined. …Near $z=z_n$, and for small $x$ and $y$, the modulus $|{\mathrm{\Psi }}^{(\mathrm{E})}\left(𝐱\right)|$ has the symmetry of a lattice with a rhombohedral unit cell that has a mirror plane and an inverse threefold axis whose $z$ and $x$ repeat distances are given by … ►The zeros of these functions are curves in $𝐱=(x,y,z)$ space; see Nye (2007) for ${\mathrm{\Phi }}_3$ and Nye (2006) for ${\mathrm{\Phi }}^{(\mathrm{H})}$.

26: Bibliography

… ►

Algorithm 39: Areas under the normal curve. The Computer Journal 12 (2), pp. 197–198.

ⓘ

Notes:

Includes Algol program, maximum accuracy 12D.

External Links:

Document

Referenced by:

§7.25(ii).

Encodings:

BibTeX

… ►

Elements of the Theory of Elliptic Functions. Translations of Mathematical Monographs, Vol. 79, American Mathematical Society, Providence, RI.

ⓘ

Notes:

Translated from the second Russian edition by H. H. McFaden

External Links:

ISBN 0-8218-4532-2, MathReview (Glenn Stevens), ZentralBlatt

Referenced by:

§22.18(ii), §22.18(iv).

Encodings:

BibTeX

… ►

Frequency response characteristics of the multiport planar elliptic patch. IEEE Trans. Microwave Theory Tech. 40 (8), pp. 1726–1730.

ⓘ

External Links:

Document

Referenced by:

6th item.

Encodings:

BibTeX

►

A general mode theory for the elliptic disk microstrip antenna. IEEE Trans. Antennas and Propagation 43 (6), pp. 560–568.

ⓘ

External Links:

Document

Referenced by:

5th item.

Encodings:

BibTeX

… ►

Inequalities for elliptic integrals. Publ. Inst. Math. (Beograd) (N.S.) 37(51), pp. 61–63.

ⓘ

External Links:

ISSN 0350-1302, MathReview, ZentralBlatt

Referenced by:

§19.9(i).

Encodings:

BibTeX

…

27: Bibliography B

… ►

Numerical calculation of a generalized complete elliptic integral. Rev. Mod. Phys. 10, pp. 264–269.

ⓘ

External Links:

Document, ZentralBlatt

Referenced by:

§19.2(iii).

Encodings:

BibTeX

… ►

Plane Algebraic Curves. Birkhäuser Verlag, Basel.

ⓘ

Notes:

Translated from the German by John Stillwell

External Links:

ISBN 3-7643-1769-8, MathReview, ZentralBlatt

Referenced by:

§21.7(i).

Encodings:

BibTeX

… ►

Numerical calculation of elliptic integrals and elliptic functions. III. Numer. Math. 13 (4), pp. 305–315.

ⓘ

Notes:

Algol 60 programs for the incomplete elliptic integral of the third kind, and for a general complete elliptic integral, are included.

External Links:

ISSN 0029-599X, Document, MathReview, ZentralBlatt

Referenced by:

§19.2(iii), §19.36(ii), §19.36(ii), §19.39(ii), §19.39(iii), R. Bulirsch (1965a).

Encodings:

BibTeX

… ►

Numerical calculation of elliptic integrals and elliptic functions. II. Numer. Math. 7 (4), pp. 353–354.

ⓘ

Notes:

An improved Algol 60 program for the complete elliptic integral of the third kind is included, but superseded by a program in Bulirsch (1969b).

External Links:

ISSN 0029-599X, Document, MathReview (M. P. S. Madan), ZentralBlatt

Referenced by:

§19.1.

Encodings:

BibTeX

►

Numerical calculation of elliptic integrals and elliptic functions. Numer. Math. 7 (1), pp. 78–90.

ⓘ

Notes:

Algol 60 programs are included for real and complex elliptic integrals, and for Jacobian elliptic functions of real argument.

External Links:

ISSN 0029-599X, Document, MathReview (M. Feliciano), ZentralBlatt

Referenced by:

§19.1, §19.2(iii), §19.36(ii), §19.39(iii), §22.22(ii).

Encodings:

BibTeX

…