Howard S. Cohl, Ph.D.
Applied and Computational Mathematics Division
National Institute for Standards and Technology
100 Bureau Drive
Gaithersburg, Maryland, 208998910, U.S.A.
email: howard.cohlatnist.gov
http://hcohl.sdf.org/
BIBLIOGRAPHY

Dynamic Instabilities in Rotating, LowMass Protostars during
Early Disk Formation,
with S. Yang, R. H. Durisen, J. N. Imamura, and J. Toman,
Icarus, 91, 1428,
15 pages.
ABSTRACT
PDF
(1991)

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, 306318, 13 pages.
ABSTRACT
PDF
(1993)

Parallel Implementation of a DataTranspose Technique
for the Solution of Poisson's Equation in Cylindrical Coordinates,
with
XH Sun and J. E. Tohline,
Proceedings of the 8th SIAM Conference on Parallel Processing
for Scientific Computing, Minneapolis, Minnesota, March, 8 pages.
PDF
(1997)

The Formation of CommonEnvelope, PreMainSequence Binary Stars,
with J. E. Tohline, J. E. Cazes,
Proceedings of Numerical Astrophysics,
ed. T. Hanawa,
HTML
(1998)

On the numerical solution of the cylindrical
Poisson equation for isolated selfgravitating systems,
The Louisiana State University and Agricultural and Mechanical College, ix+122 pages.
ABSTRACT
PDF
(1999)

A Compact Cylindrical Green's Function
Expansion for the Solution of Potential Problems, with J. E. Tohline,
The Astrophysical Journal,
527, 1, 86101, 16 pages.
ABSTRACT
PDF
(1999)

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,
363372, 10 pages.
ABSTRACT
PDF
(2000)

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)

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)

Discrete Fourier Inversion of Linear Inhomogeneity,
Proceeding of the Fifth International Conference of Symmetry in Nonlinear Mathematical Physics,
June 2329, 2003, Institute of Mathematics, National Academy of
Sciences of Ukraine, Kyiv (Kiev), Ukraine, 7 pages.
PDF
(2003)
 On the relative motions of dense cores and envelopes in
starforming molecular clouds, with
B. A. Ayliffe, J. C. Langdon, M. R. Bate, Monthly Notices of
the Royal Astronomical Society, 374, 4, 11981206, 9 pages.
ABSTRACT
PDF
(2007)

Exact Fourier expansion in cylindrical
coordinates for the threedimensional Helmholtz Green function,
with J. T. Conway,
Zeitschrift
angewandte für Mathematik und Physik,
61, 3, June 2010, 425443, 19 pages.
ABSTRACT
PDF
(2010)
erratum

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, 581588, 8 pages.
ABSTRACT
PDF
(2010)

Fourier and Gegenbauer expansions for fundamental solutions
of the Laplacian and powers in R^{d} and
H^{d},
The University of Auckland, xiv+190 pages.
ABSTRACT
PDF
(2010)

Generalized Heine's identity for complex Fourier series of binomials,
with D. E. Dominici,
Proceedings of the Royal Society A,
467, February 2011, 333345, 13 pages.
ABSTRACT
PDF
(2011)
 On parameter differentiation for integral representations of associated
Legendre functions,
Symmetry, Integrability
and Geometry: Methods and Applications (SIGMA),
Special Issue on Symmetry, Separation, Superintegrability and Special
Functions (S^{4}),
7, 050, 16 pages.
ABSTRACT
PDF
(2011)
 Fundamental Solution of Laplace's Equation in Hyperspherical Geometry,
Symmetry, Integrability and Geometry:
Methods and Applications (SIGMA),
7, 108, 14 pages.
ABSTRACT
PDF
(2011)

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
 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, 22512251, 1 page.
ABSTRACT
PDF (2012)
 Eigenfunction expansions for a
fundamental solution of Laplace's equation on R^{3} in parabolic and
elliptic cylinder coordinates, with H. Volkmer,
Journal of
Physics A: Mathematical and Theoretical,
45, 35, 355204, 20 pages.
ABSTRACT
PDF
(2012)
 Erratum: "Developments in determining the gravitational potential
using toroidal functions," Astronomische
Nachrichten,
333, 8, 784785, 2 pages.
ABSTRACT
PDF
(2012)
 Definite integrals using orthogonality and integral transforms,
with H. Volkmer,
Symmetry, Integrability and Geometry:
Methods and Applications (SIGMA),
Special Issue on Superintegrability, Exact Solvability, and Special
Functions,
8, 077, 10 pages.
ABSTRACT
PDF
(2012)
 Fourier, Gegenbauer and Jacobi expansions for
a powerlaw 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

Fourier expansions for a logarithmic fundamental solution of
the polyharmonic equation,
Journal of
Classical Analysis, 2, 2, 107127, 21 pages.
PDF
(2013)

Separation of variables in an asymmetric
cyclidic coordinate system, with H. Volkmer,
Journal of Mathematical Physics,
54, 6, 063513, 23 pages.
ABSTRACT
PDF
(2013)

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, 211225, 15 pages.
ABSTRACT
PDF
(2013)
erratum
 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)

On a generalization of the generating function for
Gegenbauer polynomials,
Integral
Transforms and Special Functions, 24, 10, 807816, 10 pages.
ABSTRACT
PDF
(2013)
 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, 1733, 17 pages.
ABSTRACT
PDF
(2013)

Digital Repository of Mathematical Formulae, with M. A. McClain,
B. V. Saunders, M. Schubotz, and J. C. Williams,
Conferences on Intelligent
Computer Mathematics 2014, Coimbra, Portugal, July 711, 2014,
Lecture Notes in Artificial Intelligence 8543, Springer,
Eds. S. M. Watt, J. H. Davenport, A. P. Sexton, P. Sojka, J. Urban, 419422, 4 pages.
ABSTRACT
PDF. (2014)

Expansions for a fundamental solution of Laplace's equation on
R^{3} in 5cyclidic harmonics, with H. Volkmer,
Analysis and Applications,
Special Issue: Dedicated to the Memory of Frank Olver, 12, 6, 613633, 21 pages.
ABSTRACT
PDF.
(2014)

Evaluation of SimilarityMeausure Factors for Formulae bases on the NTCIR11 Math Task,
with M. Schubotz, A. Youssef, V. Markl, and J. J. Li,
Proceedings of the 11th NTCIR Conference,
Tokyo, Japan, December 912, 2014,
ABSTRACT
PDF. (2014)

Measurement and Analysis of the Lowest Resonant Mode of a Spherical
AnnularSector Patch Antenna, with S. J. Weiss and A. Boliong,
Institution of Engineering and Technology (IET) Microwaves, Antennas & Propagation, 9, 2, 95100, 6 pages.
ABSTRACT
PDF. (2015)

Fourier and Gegenbauer expansions for a fundamental solution of
Laplace's equation in hyperspherical geometry,
with R. M. Palmer,
Symmetry, Integrability and Geometry:
Methods and Applications (SIGMA),
Special Issue on
Exact Solvability and
Symmetry Avatars in honour of Luc Vinet,
11, 015, 23 pages.
ABSTRACT
PDF.
(2015)

Generalizations of generating functions for higher continuous
hypergeometric orthogonal polynomials in the Askey scheme,
with M. A. Baeder and H. Volkmer,
Journal of
Mathematical Analysis and Applications
427, 1, 377398, 22 pages.
ABSTRACT
PDF.
(2015)

Open problems at OPSFA12, Sousse, Tunisia, with C. Berg, M. J. Atia, A. Swaminathan,
W. Van Assche, 26, 2, 9095, 6 pages.
ABSTRACT
PDF.
(2015)

UWB Signal Processing: Projection, BSplines, and Modified Gegenbauer Bases, with Stephen D. Casey,
2015, Accepted at Sampling Theory and Applications 11th International Conference 2015,
American University, Washington DC, USA, May 2529.
(2015)

Digital Repository of Mathematical Formulae KLS Seeding Project, with Moritz Schubotz,
Marje A. McClain, Bonita V. Saunders, Cherry Y. Zou, Alex A. Danoff, and Azeem S. Mohammed,
2015, Accepted at Conference on Intelligent Computer
Mathematics 2015, Washington DC, USA, July 1317.
(2015)

Challenges of Mathematical Information Retrieval in the NTCIR11 Math Wikipedia Task, with Moritz
Schubotz, Abdou Youssef, Howard S. Cohl, 2015, Accepted at The 38th
Annual ACM Special Interest Group on Information Retrieval Conference (SIGIR2015),
Santiago, Chile, August 913, 2015.
(2015)

Generalizations of generating functions for basic hypergeometric orthogonal polynomials,
with R. S. CostasSantos and P. R. Hwang,
arXiv:1411.1371 (submitted). (2015)