Howard S. Cohl, Ph.D.

Applied and Computational Mathematics Division
National Institute for Standards and Technology
100 Bureau Drive
Gaithersburg, Maryland, 20899-8910, U.S.A.

e-mail: howard.cohl-at-nist.gov
http://hcohl.sdf.org/



BIBLIOGRAPHY

  1. Dynamic Instabilities in Rotating, Low-Mass Protostars during Early Disk Formation, with S. Yang, R. H. Durisen, J. N. Imamura, and J. Toman, Icarus, 91, 14-28, 15 pages. ABSTRACT PDF (1991)
  2. The Solar White Light Flare of 1989 March 7: Simultaneous Multiwavelength Observations at High Time Resolution, with D. F. Neidig, A. L. Kiplinger, and P. H. Wiborg, The Astrophysical Journal, 46, 306-318, 13 pages. ABSTRACT PDF (1993)
  3. Parallel Implementation of a Data-Transpose Technique for the Solution of Poisson's Equation in Cylindrical Coordinates, with X-H Sun and J. E. Tohline, Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing, Minneapolis, Minnesota, March, 8 pages. PDF (1997)
  4. The Formation of Common-Envelope, Pre-Main-Sequence Binary Stars, with J. E. Tohline, J. E. Cazes, Proceedings of Numerical Astrophysics, ed. T. Hanawa, HTML (1998)
  5. On the numerical solution of the cylindrical Poisson equation for isolated self-gravitating systems, The Louisiana State University and Agricultural and Mechanical College, ix+122 pages. ABSTRACT PDF (1999)
  6. A Compact Cylindrical Green's Function Expansion for the Solution of Potential Problems, with J. E. Tohline, The Astrophysical Journal, 527, 1, 86-101, 16 pages. ABSTRACT PDF (1999)
  7. Developments in determining the gravitational potential using toroidal functions, with J. E. Tohline, A. R. P. Rau, and H. M. Srivastava (2000) Astronomische Nachrichten, 321, 5/6, 363-372, 10 pages. ABSTRACT PDF (2000)
  8. Useful alternative to the multipole expansion of 1/r potentials, with A. R. P. Rau, J. E. Tohline, D. A. Browne, J. E. Cazes, and E. I. Barnes, Physical Review A: Atomic and Molecular Physics and Dynamics, 64, 5, 52509, 5 pages. ABSTRACT PDF (2001)
  9. Portent of Heine's Reciprocal Square Root Identity, Proceedings of the 3D Stellar Evolution Workshop, ed. R. Cavallo, S. Keller, S. Turcotte, Livermore, California, July, 6 pages. PDF (2002)
  10. Discrete Fourier Inversion of Linear Inhomogeneity, Proceeding of the Fifth International Conference of Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003, Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv (Kiev), Ukraine, 7 pages. PDF (2003)
  11. On the relative motions of dense cores and envelopes in star-forming molecular clouds, with B. A. Ayliffe, J. C. Langdon, M. R. Bate, Monthly Notices of the Royal Astronomical Society, 374, 4, 1198-1206, 9 pages. ABSTRACT PDF (2007)
  12. Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz Green function, with J. T. Conway, Zeitschrift angewandte für Mathematik und Physik, 61, 3, June 2010, 425-443, 19 pages. ABSTRACT PDF (2010) erratum
  13. Derivatives with respect to the degree and order of associated Legendre functions for |z|>1 using modified Bessel functions, Integral Transforms and Special Functions, 21, 8, August 2010, 581-588, 8 pages. ABSTRACT PDF (2010)
  14. Fourier and Gegenbauer expansions for fundamental solutions of the Laplacian and powers in Rd and Hd, The University of Auckland, xiv+190 pages. ABSTRACT PDF (2010)
  15. Generalized Heine's identity for complex Fourier series of binomials, with D. E. Dominici, Proceedings of the Royal Society A, 467, February 2011, 333-345, 13 pages. ABSTRACT PDF (2011)
  16. On parameter differentiation for integral representations of associated Legendre functions, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 7, 050, 16 pages. ABSTRACT PDF (2011)
  17. Fundamental Solution of Laplace's Equation in Hyperspherical Geometry, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 7, 108, 14 pages. ABSTRACT PDF (2011)
  18. Fourier and Gegenbauer expansions for fundamental solutions of the Laplacian in the hyperboloid model of hyperbolic geometry, with E. G. Kalnins, Journal of Physics A: Mathematical and Theoretical, 45, 14, 145206, 32 pages. ABSTRACT PDF (2012) erratum
  19. Table errata to "Formulas and theorems for the special functions of mathematical physics" by W. Magnus, F. Oberhettinger & R. P. Soni (1966), Mathematics of Computation, 81, 280, 2251-2251, 1 page. ABSTRACT PDF (2012)
  20. Eigenfunction expansions for a fundamental solution of Laplace's equation on R3 in parabolic and elliptic cylinder coordinates, with H. Volkmer, Journal of Physics A: Mathematical and Theoretical, 45, 35, 355204, 20 pages. ABSTRACT PDF (2012)
  21. Erratum: "Developments in determining the gravitational potential using toroidal functions," Astronomische Nachrichten, 333, 8, 784-785, 2 pages. ABSTRACT PDF (2012)
  22. Definite integrals using orthogonality and integral transforms, with H. Volkmer, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 8, 077, 10 pages. ABSTRACT PDF (2012)
  23. Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 9, 042, 26 pages. ABSTRACT PDF (2013) erratum
  24. Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation, Journal of Classical Analysis, 2, 2, 107-127, 21 pages. PDF (2013)
  25. Separation of variables in an asymmetric cyclidic coordinate system, with H. Volkmer, Journal of Mathematical Physics, 54, 6, 063513, 23 pages. ABSTRACT PDF (2013)
  26. Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals, with C. MacKenzie and H. Volkmer, Journal of Mathematical Analysis and Applications, 407, 2, 211-225, 15 pages. ABSTRACT PDF (2013) erratum
  27. Publisher's Note: ``Separation of variables in an asymmetric cyclidic coordinate system'' [J. Math. Phys. 54, 6, 063513 (2013)], with H. Volkmer, Journal of Mathematical Physics, 54, 7, 079904, 1 page. ABSTRACT PDF (2013)
  28. On a generalization of the generating function for Gegenbauer polynomials, Integral Transforms and Special Functions, 24, 10, 807-816, 10 pages. ABSTRACT PDF (2013)
  29. Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals, with C. MacKenzie, Journal of Classical Analysis, 3, 1, 17-33, 17 pages. ABSTRACT PDF (2013)
  30. Digital Repository of Mathematical Formulae, with Marjorie A. McClain, Bonita V. Saunders, Moritz Schubotz, and Janelle C. Williams, Conferences on Intelligent Computer Mathematics 2014, Coimbra, Portugal, July 7-11, 2014, Lecture Notes in Artificial Intelligence 8543, Springer, Eds. S. M. Watt, J. H. Davenport, A. P. Sexton, P. Sojka, J. Urban, 419-422, 4 pages. ABSTRACT PDF. (2014)
  31. Expansions for a fundamental solution of Laplace's equation on R3 in 5-cyclidic harmonics, with H. Volkmer, Analysis and Applications, Special Issue: Dedicated to the Memory of Frank Olver, 12, 6, 613-633, 21 pages. ABSTRACT PDF. (2014)
  32. Measurement and Analysis of the Lowest Resonant Mode of a Spherical Annular-Sector Patch Antenna, with S. J. Weiss and A. Boliong, appeared online in Institution of Engineering and Technology (IET) Microwaves, Antennas & Propagation. ABSTRACT PDF. (2014)
  33. Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme, with M. A. Baeder and H. Volkmer, arXiv:1405.1918 (submitted). (2014)
  34. Fourier and Gegenbauer expansions for a fundamental solution of Laplace's equation in hyperspherical geometry, with R. M. Palmer, arXiv:1405.4847 (submitted). (2014)
  35. Generalizations of generating functions for basic hypergeometric orthogonal polynomials, with R. S. Costas-Santos and P. R. Hwang, arXiv:1411.1371 (submitted). (2014)
  36. Open problems at OPSFA-12, Sousse, Tunisia, with C. Berg, M. J. Atia, A. Swaminathan, W. Van Assche, 26, 2, 90-95, 6 pages. ABSTRACT PDF. (2015)