Results 1 to 10 of about 622 (42)
Open Physics, 2004 A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions ...
Cotfas Nicolae
doaj +3 more sources
Baryon asymmetry at the weak phase transition in presence of arbitrary CP violation [PDF]
, 1997 We consider interactions of fermions with the domain wall bubbles produced during a first order phase transition. A new exact solution of the Dirac equations is obtained for a wall profile incorporating a position dependent CP violating phase.
Torrente-Lujan, Emilio
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Open Physics, 2016 In this manuscript we investigate electrodynamic flow. For several values of the intimate parameters we proved that the approximate solution depends on a reproducing kernel model.
Akgül Ali +3 more
doaj +1 more source
A certain sequence of functions involving the Aleph function
Open Physics, 2016 Sequences of functions play an important role in approximation theory. In this paper, we aim to establish a (presumably new) sequence of functions involving the Aleph function by using operational techniques.
Agarwal P. +3 more
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More Special Functions Trapped [PDF]
, 2012 We extend the technique of using the Trapezoidal Rule for efficient evaluation of the Special Functions of Mathematical Physics given by integral representations.
Schwartz, Charles
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Open Physics, 2018 Several classes of transcendental equations, mainly eigenvalue equations associated to non-relativistic quantum mechanical problems, are analyzed. Siewert’s systematic approach of such equations is discussed from the perspective of the new results ...
Barsan Victor
doaj +1 more source
Space-time spectral collocation algorithm for solving time-fractional Tricomi-type equations
Open Physics, 2016 We introduce a new numerical algorithm for solving one-dimensional time-fractional Tricomi-type equations (T-FTTEs). We used the shifted Jacobi polynomials as basis functions and the derivatives of fractional is evaluated by the Caputo definition.
Abdelkawy M.A. +2 more
doaj +1 more source
Trapping Electromagnetic Solitons in Cylinders [PDF]
, 2013 Electromagnetic waves, in vacuum or dielectrics, can be confined in unbounded cylinders in such a way that they turn around the main axis. For particular choices of the cylinder's section, interesting stationary configurations may be assumed. By refining
Funaro, Daniele
core +5 more sources
Laplace transform of spherical Bessel functions [PDF]
, 2001 We provide a simple analytic formula in terms of elementary functions for the Laplace transform j_{l}(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in ...
A Ludu +7 more
core +5 more sources
Normalization Integrals of Orthogonal Heun Functions
, 1997 A formula for evaluating the quadratic normalization integrals of orthogonal Heun functions over the real interval 0
Becker, Peter A.
core +2 more sources