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Integration in finite terms. (English) Zbl 1511.12002

Raab, Clemens G. (ed.) et al., Integration in finite terms: fundamental sources. Cham: Springer. Texts Monogr. Symb. Comput., 1-10 (2022).
Reprint of the author’s paper [Am. Math. Mon. 79, 963–972 (1972; Zbl 0249.12106)].
For the entire collection see [Zbl 1490.26001].

MSC:

12H05 Differential algebra
26A36 Antidifferentiation

Citations:

Zbl 0249.12106
Full Text: DOI

References:

[1] G. H. Hardy, The Integration of Functions of a Single Variable, 2nd ed., Cambridge Univ. Press, New York, 1916. · JFM 46.1461.03
[2] R. Risch, The problem of integration in finite terms, Trans. Amer. Math. Soc., 139 (1969) 167-189. · Zbl 0184.06702
[3] , The solution of the problem of integration in finite terms, Bull. Amer. Math. Soc., 76 (1970) 605-608. · Zbl 0196.06801
[4] J. F. Ritt, Integration in Finite Terms, Columbia Univ. Press, New York, 1948. · Zbl 0031.20603
[5] M. Rosenlicht, Liouville’s theorem on functions with elementary integrals, Pacific J. Math., 24 (1968) 153-161. · Zbl 0155.36702
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