Heun%20functions
♦
8 matching pages ♦
(0.003 seconds)
8 matching pages
1: Bibliography F
…
►
…
►
Asymptotics of the spectrum of the Heun equation and of Heun functions.
Izv. Akad. Nauk SSSR Ser. Mat. 55 (3), pp. 631–646 (Russian).
►
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 weighted polynomial approximation on the whole real axis.
Acta Math. Acad. Sci. Hungar. 20, pp. 223–225.
…
2: Bibliography L
…
►
The two-point connection problem for differential equations of the Heun class.
Teoret. Mat. Fiz. 101 (3), pp. 360–368 (Russian).
…
►
Algorithm 917: complex double-precision evaluation of the Wright
function.
ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.
►
Asymptotic and numeric study of eigenvalues of the double confluent Heun equation.
J. Phys. A 31 (42), pp. 8521–8531.
►
The central two-point connection problem for the Heun class of ODEs.
J. Phys. A 31 (18), pp. 4249–4261.
►
Heun’s equation with nearby singularities.
Proc. Roy. Soc. London Ser. A 455, pp. 4347–4361.
…
3: Bibliography K
…
►
Hypergeometric expansions of Heun polynomials.
SIAM J. Math. Anal. 22 (5), pp. 1450–1459.
►
Addendum: “Hypergeometric expansions of Heun polynomials”.
SIAM J. Math. Anal. 22 (6), pp. 1803.
…
►
Integral equations for special functions of Heun class.
Methods Appl. Anal. 3 (4), pp. 447–456.
…
►
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.
…
4: Bibliography B
…
►
A program for computing the Riemann zeta function for complex argument.
Comput. Phys. Comm. 20 (3), pp. 441–445.
…
►
Normalization integrals of orthogonal Heun functions.
J. Math. Phys. 38 (7), pp. 3692–3699.
…
►
Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
…
►
A short table of the functions
, from to
.
Phil. Mag. Series 7 20, pp. 343–347.
…
►
Bessel functions and modular relations of higher type and hyperbolic differential equations.
Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1952 (Tome Supplementaire), pp. 12–20.
…
5: Bibliography M
…
►
Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
…
►
On reducing the Heun equation to the hypergeometric equation.
J. Differential Equations 213 (1), pp. 171–203.
►
The 192 solutions of the Heun equation.
Math. Comp. 76 (258), pp. 811–843.
…
►
Calculation of the modified Bessel functions of the second kind with complex argument.
Math. Comp. 20 (95), pp. 407–412.
…
►
The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
…
6: Bibliography D
…
►
Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire
.
Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).
…
►
Formes canoniques des équations confluentes de l’équation de Heun.
Ann. Soc. Sci. Bruxelles Sér. I 92 (1-2), pp. 53–78.
►
Sur les équations confluentes de l’équation de Heun.
Ann. Soc. Sci. Bruxelles Sér. I 92 (3), pp. 151–189.
…
►
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.
…
7: 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.
…
►
Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
…
►
Non-linear integral equations for Heun functions.
Proc. Edinburgh Math. Soc. (2) 16, pp. 281–289.
…
►
A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
…
►
Numerical Methods Based on Sinc and Analytic Functions.
Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
…
8: Bibliography P
…
►
Tables of Digamma and Trigamma Functions.
In Tracts for Computers, No. 1, K. Pearson (Ed.),
…
►
Exponential asymptotics of the Mittag-Leffler function.
Proc. Roy. Soc. London Ser. A 458, pp. 3041–3052.
…
►
A new basis for the representation of the rotation group. Lamé and Heun polynomials.
J. Mathematical Phys. 14 (8), pp. 1130–1139.
…
►
Tables of the Incomplete Beta-function.
2nd edition, Published for the Biometrika Trustees at the Cambridge
University Press, Cambridge.
…
►
Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
…