symmetric%20elliptic%20integrals
(0.002 seconds)
1—10 of 11 matching pages
1: 19.36 Methods of Computation
§19.36 Methods of Computation
… ►Legendre’s integrals can be computed from symmetric integrals by using the relations in §19.25(i). … ►Complete cases of Legendre’s integrals and symmetric integrals can be computed with quadratic convergence by the AGM method (including Bartky transformations), using the equations in §19.8(i) and §19.22(ii), respectively. … ►For computation of Legendre’s integral of the third kind, see Abramowitz and Stegun (1964, §§17.7 and 17.8, Examples 15, 17, 19, and 20). … ►2: Bibliography N
…
►
On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
…
►
Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
…
►
Elliptic integrals of the second and third kinds.
Zastos. Mat. 11, pp. 99–102.
…
►
Bounds for symmetric elliptic integrals.
J. Approx. Theory 122 (2), pp. 249–259.
…
►
A table of integrals of the error functions.
J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
…
3: 36.5 Stokes Sets
…
►
§36.5(ii) Cuspoids
… ►§36.5(iii) Umbilics
►Elliptic Umbilic Stokes Set (Codimension three)
… ►One of the sheets is symmetrical under reflection in the plane , and is given by … ►§36.5(iv) Visualizations
…4: Bibliography S
…
►
The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.
2nd edition, Graduate Texts in Mathematics, Vol. 203, Springer-Verlag, New York.
…
►
A Table of the Incomplete Elliptic Integral of the Third Kind.
Dover Publications Inc., New York.
…
►
Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
…
►
Some combinatorial properties of Jack symmetric functions.
Adv. Math. 77 (1), pp. 76–115.
…
►
A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
…
5: Bibliography R
…
►
Plane wave scattering by a conducting elliptic cylinder coated by a nonconfocal dielectric.
IEEE Trans. Antennas and Propagation 39 (2), pp. 218–223.
…
►
Normal limit theorems for symmetric random matrices.
Probab. Theory Related Fields 112 (3), pp. 411–423.
…
►
On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
…
►
Elliptic Integrals of the First and Second Kind – Comparison of Bulirsch’s and Carlson’s Algorithms for Numerical Calculation.
In Special Functions (Hong Kong, 1999), C. Dunkl, M. Ismail, and R. Wong (Eds.),
pp. 293–308.
…
►
Elliptic hypergeometric series on root systems.
Adv. Math. 181 (2), pp. 417–447.
…
6: Bibliography I
…
►
The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of and of Bessel functions of any real order
.
Linear Algebra Appl. 194, pp. 35–70.
…
►
Tables of the elliptic cylinder functions.
Proc. Roy. Soc. Edinburgh Sect. A 52, pp. 355–433.
…
►
An integral which occurs in statistics.
Proceedings of the Cambridge Philosophical Society 29, pp. 271–276.
►
The real roots of Bernoulli polynomials.
Ann. Univ. Turku. Ser. A I 37, pp. 1–20.
…
►
-Hermite polynomials, biorthogonal rational functions, and -beta integrals.
Trans. Amer. Math. Soc. 346 (1), pp. 63–116.
…
7: Bibliography F
…
►
Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
…
►
Tables of Elliptic Integrals of the First, Second, and Third Kind.
Technical report
Technical Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio.
…
►
On the reciprocal modulus relation for elliptic integrals.
SIAM J. Math. Anal. 1 (4), pp. 524–526.
…
►
Numerical evaluation of the elliptic integral of the third kind.
Math. Comp. 19 (91), pp. 494–496.
…
►
Series expansions of symmetric elliptic integrals.
Math. Comp. 81 (278), pp. 957–990.
…
8: Bibliography V
…
►
On the series expansion method for computing incomplete elliptic integrals of the first and second kinds.
Math. Comp. 23 (105), pp. 61–69.
…
►
Modular hypergeometric residue sums of elliptic Selberg integrals.
Lett. Math. Phys. 58 (3), pp. 223–238.
…
►
Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories.
Il Nuovo Cimento A 57 (1), pp. 190–197.
…
►
Integral relations for Lamé functions.
SIAM J. Math. Anal. 13 (6), pp. 978–987.
…
►
Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation.
Constr. Approx. 20 (1), pp. 39–54.
…
9: Bibliography M
…
►
Symmetric Functions and Orthogonal Polynomials.
University Lecture Series, Vol. 12, American Mathematical Society, Providence, RI.
…
►
Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
…
►
Algorithm 149: Complete elliptic integral.
Comm. ACM 5 (12), pp. 605.
…
►
An improved calculation of the general elliptic integral of the second kind in the neighbourhood of
.
Numer. Math. 25 (1), pp. 99–101.
…
►
Calculation of the complete elliptic integrals with complex modulus.
Numer. Math. 29 (2), pp. 233–236.
…
10: Bibliography D
…
►
Integral representations for elliptic functions.
J. Math. Anal. Appl. 316 (1), pp. 142–160.
…
►
Ramanujan’s master theorem for symmetric cones.
Pacific J. Math. 175 (2), pp. 447–490.
…
►
Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
…
►
Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
…
►
The Legendre Relation for Elliptic Integrals.
In Paul Halmos: Celebrating 50 Years of Mathematics, J. H. Ewing and F. W. Gehring (Eds.),
pp. 305–315.
…