radial%20Mathieu%20functions
♦
7 matching pages ♦
(0.005 seconds)
7 matching pages
1: 28.1 Special Notation
…
►The main functions treated in this chapter are the Mathieu functions
…and the modified Mathieu functions
…The functions
and are also known as the radial Mathieu functions.
…
►
Abramowitz and Stegun (1964, Chapter 20)
… ►The radial functions and are denoted by and , respectively.2: Bibliography K
…
►
Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library.
ACM Trans. Math. Software 20 (4), pp. 447–459.
…
►
Methods of computing the Riemann zeta-function and some generalizations of it.
USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
…
►
A Fortran computer program for calculating the prolate spheroidal radial functions of the first and second kind and their first derivatives.
NRL Report No. 7012
Naval Res. Lab. Washingtion, D.C..
…
►
Tables of values of the modified Mathieu functions.
Math. Comp. 14, pp. 118–129.
…
►
Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I.
Inverse Problems 20 (4), pp. 1165–1206.
…
3: Bibliography L
…
►
The solutions of the Mathieu equation with a complex variable and at least one parameter large.
Trans. Amer. Math. Soc. 36 (3), pp. 637–695.
…
►
New method to obtain small parameter power series expansions of Mathieu radial and angular functions.
Math. Comp. 78 (265), pp. 255–274.
…
►
Algorithm 917: complex double-precision evaluation of the Wright
function.
ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.
…
►
Algorithm 537: Characteristic values of Mathieu’s differential equation.
ACM Trans. Math. Software 5 (1), pp. 112–117.
►
An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
…
4: Bibliography G
…
►
Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
…
►
Radial quadrature for multi exponential integrands.
J. Comput. Chem. 24 (4), pp. 732–740.
…
►
Mathieu functions.
Trans. Camb. Philos. Soc. 23, pp. 303–336.
…
►
Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
…
►
Mathieu functions, a visual approach.
Amer. J. Phys. 71 (3), pp. 233–242.
…
5: Bibliography B
…
►
Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
…
►
Prolate radial spheroidal wave functions.
Comput. Phys. Comm. 30 (2), pp. 177–185.
…
►
Tables Relating to the Radial Mathieu Functions. Vol. 1: Functions of the First Kind.
U.S. Government Printing Office, Washington, D.C..
►
Tables Relating to the Radial Mathieu Functions. Vol. 2: Functions of the Second Kind.
U.S. Government Printing Office, Washington, D.C..
…
►
Methods of calculation of radial wave functions and new tables of Coulomb functions.
Physical Rev. (2) 80, pp. 553–560.
…
6: 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.
…
►
The accuracy of iterated JWBK approximations for Coulomb radial functions.
Comput. Phys. Comm. 32 (2), pp. 115–119.
…
►
FGH, a code for the calculation of Coulomb radial wave functions from series expansions.
Comput. Phys. Comm. 146 (2), pp. 250–253.
…
►
Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
►
Uniform asymptotic expansions of modified Mathieu functions.
J. Reine Angew. Math. 247, pp. 1–17.
…
7: Bibliography V
…
►
A Fortran computer program for calculating the oblate spheroidal radial functions of the first and second kind and their first derivatives.
NRL Report No. 6959
Naval Res. Lab. Washingtion, D.C..
…
►
Accurate calculation of prolate spheroidal radial functions of the first kind and their first derivatives.
Quart. Appl. Math. 60 (3), pp. 589–599.
►
Improved calculation of prolate spheroidal radial functions of the second kind and their first derivatives.
Quart. Appl. Math. 62 (3), pp. 493–507.
►
Accurate calculation of the modified Mathieu functions of integer order.
Quart. Appl. Math. 65 (1), pp. 1–23.
…
►
Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation.
Constr. Approx. 20 (1), pp. 39–54.
…