IJPAM: Volume 71, No. 3 (2011)
ASYMPTOTICS OF MODIFIED BESSEL
FUNCTIONS OF HIGH ORDER
FUNCTIONS OF HIGH ORDER
Avram Sidi
, Philip E. Hoggan
Computer Science Department
Technion - Israel Institute of Technology
Haifa, 32000, ISRAEL
LASMEA, UMR 6602 CNRS
Université Blaise Pascal
24, Avenue des Landais, 63177, Aubiere Cedex, FRANCE



Technion - Israel Institute of Technology
Haifa, 32000, ISRAEL

Université Blaise Pascal
24, Avenue des Landais, 63177, Aubiere Cedex, FRANCE
Abstract. In this work, we present two sets of full asymptotic expansions for the modified Bessel functions and
and a full asymptotic expansion for
as
and
is fixed with
. In particular, we show that

and

where, for each





where

Received: June 5, 2011
AMS Subject Classification: 33C10, 34E05, 35C20, 41A60
Key Words and Phrases: modified Bessel functions, high order, asymptotic expansions
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 3