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On the Asymptotic Expansion of a Class of Functions Defined by Infinite Integrals
Author(s) -
Shail R.
Publication year - 2007
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300000280
Subject(s) - mathematics , class (philosophy) , asymptotic expansion , pure mathematics , mathematical analysis , computer science , artificial intelligence
In this paper a method is developed for the asymptotic expansion of some classes of integral as a parameter k → 0+. The procedure is analogous to the method of inner and outer sums for treating certain types of infinite series whose terms contain a small parameter, and can involve heavy algebra. However, this aspect of the process can be delegated to a symbolic manipulation package.