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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 31-905
Full Name: Sever Spanulescu
Position: Professor
Age: ON
Sex: Male
Address: Bucharest, Str. Cozla, nr. 8, Bl. A7, Sc. C, et. 1, ap. 34, Sector 3
Country: ROMANIA
Tel: +40740113579
Tel prefix: +40
Fax: +40213232395
E-mail address: severspa2004@yahoo.com
Other E-mails: a_costescu@hotmail.com
Title of the Paper: Analytical properties and numerical calculations of high transcendental functions involved in the relativistic amplitudes of two photon atomic processes
Authors as they appear in the Paper: Adrian Costescu, Sever Spanulescu, Adrian Stoica
Email addresses of all the authors: a_costescu@hotmail.com,severspa2004@yahoo.com,cr_stoica@yahoo.com
Number of paper pages: 10
Abstract: The high transcendental functions that occur in the relativistic expressions of the amplitudes of the two photon atomic processes are analytically treated taking advantage of their specific parameters values. We present some identities and recurrence relationships that allow reducing the number of needed Appell functions and transform their imaginary part in terms of Gauss hypergeometric functions. If the physical model takes into account only the terms up till the fourth power in in the real part and the seventh power in the imaginary part, some transcendental functions may be reduced to elementary functions. The numerical results obtained using the presented methods were compared with other's authors results, displaying a very good agreement.
Keywords: Appell functions, Gauss hypergeometric functions, Relativistic atomic processes
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