of%20squares
(0.001 seconds)
10 matching pages
1: 19.36 Methods of Computation
…
►
19.36.2
…
►The reductions in §19.29(i) represent as squares, for example in (19.29.4).
…
►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: 1.11 Zeros of Polynomials
3: 3.4 Differentiation
…
►
…
►
►
…
►
…
►For additional formulas involving values of and on square, triangular, and cubic grids, see Collatz (1960, Table VI, pp. 542–546).
…
4: 18.39 Applications in the Physical Sciences
…
►Below we consider two potentials with analytically known eigenfunctions and eigenvalues where the spectrum is entirely point, or discrete, with all eigenfunctions being and forming a complete set.
…
►where is the (squared) angular momentum operator (14.30.12).
…
►with an infinite set of orthonormal eigenfunctions
…
►The bound state eigenfunctions of the radial Coulomb Schrödinger operator are discussed in §§18.39(i) and 18.39(ii), and the -function normalized (non-) in Chapter 33, where the solutions appear as Whittaker functions.
…
►The fact that non- continuum scattering eigenstates may be expressed in terms or (infinite) sums of functions allows a reformulation of scattering theory in atomic physics wherein no non- functions need appear.
…
5: 26.12 Plane Partitions
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.
…
►
Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
…
►
Algorithm AS 239. Chi-squared and incomplete gamma integral.
Appl. Statist. 37 (3), pp. 466–473.
…
►
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.
…
7: 20.7 Identities
…
►
§20.7(i) Sums of Squares
… ►See Lawden (1989, pp. 19–20). … ►In the following equations , and all square roots assume their principal values. … ►
20.7.34
…
8: Bibliography M
…
►
Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
…
►
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions.
Ramanujan J. 6 (1), pp. 7–149.
…
►
New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function.
Proc. Nat. Acad. Sci. U.S.A. 93 (26), pp. 15004–15008.
…
►
The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
…
►
On the representation of numbers as a sum of
squares.
Quarterly Journal of Math. 48, pp. 93–104.
…
9: 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.
…
►
Tables of the Incomplete Gamma Function Ratio: The Chi-square Integral, the Poisson Distribution.
Justus von Liebig Verlag, Darmstadt (German, English).
…
►
Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I.
Inverse Problems 20 (4), pp. 1165–1206.
…
►
The Askey scheme as a four-manifold with corners.
Ramanujan J. 20 (3), pp. 409–439.
…
10: Bibliography B
…
►
Pionic atoms.
Annual Review of Nuclear and Particle Science 20, pp. 467–508.
…
►
A program for computing the Riemann zeta function for complex argument.
Comput. Phys. Comm. 20 (3), pp. 441–445.
…
►
Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
…
►
Some solutions of the problem of forced convection.
Philos. Mag. Series 7 20, pp. 322–343.
…
►
Numerical Methods for Least Squares Problems.
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
…