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Integration in finite terms: a method for determining regular fields for the risch algorithm

✍ Scribed by R. D. Richtmyer

Publisher
Springer
Year
1985
Tongue
English
Weight
325 KB
Volume
10
Category
Article
ISSN
0377-9017

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✦ Synopsis

In the Risch algorithm for integration in finite terms, it is assumed that the integrand y(z) is in a field of functions ofz obtained from rational functions by adjunction of exponentials and logarithms, using rotational operations and compositions. The field is required to have a certain regularity property. We give an algorithm such that, when y(z) is given by a formula of the type common in elementary calculus, one can determine whether y(z) is in a field of the required kind and can specify the field, if it is. * Here and elsewhere, I depart somewhat from Rtsch's terminology.

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