ASYMPTOTICS FOR THE KUMMER FUNCTION OF BOSE PLASMAS

Citation
V. Kowalenko et Ne. Frankel, ASYMPTOTICS FOR THE KUMMER FUNCTION OF BOSE PLASMAS, Journal of mathematical physics, 35(11), 1994, pp. 6179-6198
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
35
Issue
11
Year of publication
1994
Pages
6179 - 6198
Database
ISI
SICI code
0022-2488(1994)35:11<6179:AFTKFO>2.0.ZU;2-#
Abstract
The asymptotic expansions for the Kummer function obtained in the stud y of the linear response of magnetized Bose plasmas at T = 0 K are pre sented for large and small values of its parameter, thereby displaying the function's asymptotic nonuniformity. The large parameter expansio n plays a determining role in the behavior of these Bose systems in th e limit that the external magnetic field B --> 0. This particular expa nsion is generalized herein and its validity tested by determining the asymptotic expansion for the Hurwitz zeta function.