Frederick King, Ph.D.

Recent publications include:

• F. W. King, Hilbert Transforms, Volume I, Cambridge University Press, June, 2009.
• F. W. King, Hilbert Transforms, Volume II, Cambridge University Press, June, 2009.
• F. W. King, High precision calculations of the hyperfine constants for the low-lying excited 2S states of Be+, Journal of Physical Chemistry A, 113, 4110-4116 (2009).
• F. W. King, D. Quicker, and J. Langer, Compact wave functions for the beryllium isoelectronic series, Li- to Ne6+: A standard Hylleraas approach, Journal of Chemical Physics, 134, 124114 (2011).
• I. Porras, C. D. Schuster, and F. W. King, Convergence accelerator approach to the numerical evaluation of Hilbert transforms based on expansions in Hermite functions, IAENG International Journal of Applied Mathematics, 41, 252-259 (2011).
• F. W. King, High-precision calculations of the hyperfine constants and some selected transition energies for the low-lying 4S levels of the lithium atom, International Journal of Quantum Chemistry, 113, 2534-2539 (2013).
• F. W. King, On the evaluation of four-electron correlated integrals with a Slater basis: Some simplifications and some closed form examples, Journal of Physics B: Atomic, Molecular and Optical Physics, 47, 025003 (2014).
• F. W. King, The evaluation of some four-electron correlated integrals with a Slater basis arising in linear and nonlinear r12 theories, Journal of Physics B: Atomic, Molecular and Optical Physics, 49, 105001 (2016).
• Chong H. Leong, Ignacio Porras, and F. W. King, Analysis of atomic integrals involving explicit correlation factors for the three-electron case. I. Connection to the hypergeometric function 3F2. Journal of Mathematical Chemistry, Published online May 3, 2016.