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The inversion, formulae for some bessel and hypergeometric transforms
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1976)
By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are ...
New approach for approximating the continuum wave function by Gaussian basis set
(Elsevier Science, 2012-12)
A new approach for approximating the continuum wave functions for hydrogenic atoms with Gaussians basis sets is developed and tested. In this the plane wave is left unchanged and the distorting factor, represented by the ...
Solutions of mixed Painlevé P III—V model
(2019-01-18)
We review the construction of the mixed Painlevé P III –V system in terms of a 4-boson integrable model and discuss its symmetries. Such a mixed system consist of a hybrid differential equation that for special limits of ...
Remarks on Thermodynamic Properties of a Double Ring-Shaped Quantum Dot at Low and High Temperatures
(2021-02-01)
In a recent paper published in this Journal, Khordad and Sedehi (J Low Temp Phys 190(3):200, 2018) have studied the thermodynamic properties of a GaAs double ring-shaped quantum dot under external magnetic and electric ...
ON JACOBI-EXPANSIONS
(Editrice Compositori BolognaBolognaItália, 1991)
Modeling defaultable bonds with mean-reverting log-normal spread: a quasi closed-form solution
(Asociación Argentina de Mecánica Computacional, 2008-12)
In this paper we describe a two factor model for a defaultable discount bond, assuming a mean reverting log-normal dynamics with bounded volatility for the instantaneous short rate spread. Under some simplifying assumptions ...