Jacobian elliptic-function form
(0.004 seconds)
41—50 of 308 matching pages
41: 19.10 Relations to Other Functions
…
►
§19.10(i) Theta and Elliptic Functions
►For relations of Legendre’s integrals to theta functions, Jacobian functions, and Weierstrass functions, see §§20.9(i), 22.15(ii), and 23.6(iv), respectively. …42: 29.8 Integral Equations
…
►
29.8.1
►where are real, and , , are the Jacobian elliptic functions (§22.2).
…
►
29.8.6
…
►
29.8.7
…
►
29.8.9
…
43: William P. Reinhardt
44: Bibliography S
…
►
Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
…
►
Numerical evaluation of integrals of the form
and the tabulation of the function
.
Quart. J. Mech. Appl. Math. 3 (1), pp. 107–112.
…
►
Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
…
►
Characterization of Jacobian varieties in terms of soliton equations.
Invent. Math. 83 (2), pp. 333–382.
…
45: Software Index
…
►
►
…
►
Open Source Collections and Systems.
…
Open Source | With Book | Commercial | |||||||||||||||||||||||
… | |||||||||||||||||||||||||
22 Jacobian Elliptic Functions | |||||||||||||||||||||||||
… |
These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.
46: 31.12 Confluent Forms of Heun’s Equation
§31.12 Confluent Forms of Heun’s Equation
►Confluent forms of Heun’s differential equation (31.2.1) arise when two or more of the regular singularities merge to form an irregular singularity. …There are four standard forms, as follows: … ►This has regular singularities at and , and an irregular singularity of rank 1 at . … ►47: Bibliography M
…
►
Siegel’s modular forms and Dirichlet series.
Lecture Notes in Mathematics, Vol. 216, Springer-Verlag, Berlin.
…
►
An integral representation for the Bessel form.
J. Comput. Appl. Math. 57 (1-2), pp. 251–260.
…
►
Jacobian Elliptic Function Tables.
Dover Publications Inc., New York.
…
►
Tata Lectures on Theta. II.
Birkhäuser Boston Inc., Boston, MA.
…
48: Frank Garvan
…
►His research is in the areas of -series and modular forms, and he enjoys using MAPLE in his research.
…
49: 20.9 Relations to Other Functions
…
►
§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. …50: 29.10 Lamé Functions with Imaginary Periods
…
►
29.10.3
…