Green's function for 3D Laplace equation : Cohl et. al. ( 1999a, 1999b, 2000, 2001, 2002)

Gravitational potential : Cohl et. al. ( 1999a, 1999b, 2000, 2001, 2002)

Quadrics & cyclides : Cohl et. al. ( 1999a, 1999b, 2000, 2001, 2002)

Heine identity : Cohl et. al. ( 1999a, 1999b, 2000, 2001, 2002)

Cylindrical, toroidal, oblate and prolate spheroidal, parabolic, bispherical coordinate systems : Cohl et. al. (1999a, 2000)

New addition theorems for rotationally invariant coordinate systems which R-separate 3D Laplace equation: Cohl et. al. (1999a, 2000)

3D biharmonic, 3D triharmonic, and 3D higher harmonic Green's functions : Cohl (2002)

Spherical coordinate system : Cohl et. al. (2001)

Coulomb direct (classical) and exchange (quantum) integrals/interactions : Cohl et. al. (2001)

Two-electron interactions : Cohl et. al. (2001)

Spherical azimuthal and separation angle Fourier expansions : Cohl et. al. (2001)

Magnetic field of an infinitesimally thin circular current loop : Cohl & Tohline (1999)

Symmetry properties of associated Legendre/toroidal functions : Cohl et. al. (2000)

Whipple formulae for toroidal/associated Legendre functions : Cohl et. al. (2000)

New addition theorem for spherical coordinates : Cohl et. al. (2001)

Solar White Light Flares : Neidig et. al. (1993)

"Parallel Implementation of a Data-Transpose Technique for the Solution of Poisson's Equation in Cylindrical Coordinates"

Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing, Minneapolis, Minnesota, March.

1999a - Cohl, H. S.

"On the numerical solution of the cylindrical Poisson equation for isolated self-gravitating systems"

The Louisiana State University and Agricultural and Mechanical College, 122 pages

1999b - Cohl, H. S. and J. E. Tohline

"A Compact Cylindrical Green's Function Expansion for the Solution of Potential Problems"

The Astrophysical Journal,

2000 - Cohl, H. S., J. E. Tohline, A. R. P. Rau, H. M. Srivastava

"Developments in determining the gravitational potential using toroidal functions"

Astronomische Nachrichten,

2001 - Cohl, H. S., Rau, A. R. P., Tohline, J. E., Browne, D. A., Cazes, J. E. and Barnes, E. I.

"Useful alternative to the multipole expansion of 1/r potentials"

Physical Review A: Atomic and Molecular Physics and Dynamics,

2002 - Cohl, H. S.

"Portent of Heine's Reciprocal Square Root Identity"

Proceedings of the 3D Stellar Evolution Workshop, ed. R. Cavallo, S. Keller, S. Turcotte, Livermore, California

Conclusion

HSC would like to thank (1) the Department of Physics & Astronomy at Louisiana State University (LSU) as well as (2) LSU Prof. Juhan Frank for providing travel and accomodations support for attendance at the 200th IAU symposium on binary star formation in Potsdam, Germany and (3) LSU Prof. Dana A. Browne for his support during the course of this work. ARPR thanks the Alexander von Humboldt Stiftung and Profs. J. Hinze and F. H. M. Faisal of the University of Bielefeld for their hospitality during the course of this work. Thanks to E. G. Kalnins for many inspiring communications and for providing the Moon & Spencer (1961b) reference. Thanks to J. D. Jackson for pointing out the Magnus, Oberhettinger & Soni (1966) reference which gives a further generalization of the Heine identity. Thanks are also due to J. E. Lambert for several subtle grammatical criticisms and suggestions. We acknowledge support from NASA through grant NAG5-8497 and from the NSF through grant AST-9987344. This work also has been supported, in part, by a grant of high-performance computing time on NPACI facilities at the SDSC.

Cohl, H. S., J. E. Tohline, A. R. P. Rau, H. M. Srivastava (2000)