FURTHER RESULTS ON A FAMILY OF GENERALIZED RADIATION INTEGRALS

Citation
L. Galue et V. Kiryakova, FURTHER RESULTS ON A FAMILY OF GENERALIZED RADIATION INTEGRALS, Radiation physics and chemistry, 43(6), 1994, pp. 573-579
Citations number
17
Categorie Soggetti
Nuclear Sciences & Tecnology","Chemistry Physical","Physics, Atomic, Molecular & Chemical
ISSN journal
0969806X
Volume
43
Issue
6
Year of publication
1994
Pages
573 - 579
Database
ISI
SICI code
0969-806X(1994)43:6<573:FROAFO>2.0.ZU;2-1
Abstract
In this paper we continue the investigation by Kalla et al. (1991) of the family of generalized radiation integrals defined by [GRAPHICS] wh ere Re(gamma) > Re(beta) > 0; - 1 < lambda < 2alpha - 2mu - 1; mu > - 1; p, a, b > 0; 0 < a less-than-or-equal-to b < infinity. Several recu rrence relations are presented. By differentiation of these integrals with respect to the parameters lambda and mu we obtain also various in tegrals that include the logarithmic function in the integrand. Finall y, we propose an algorithm for numerical evaluation of the generalized radiation integrals and illustrate it by tables of their values compu ted for selected values of the parameters.