×
Singer, Michael F.

Functions satisfying elementary relations. (English) Zbl 0351.12101

Trans. Am. Math. Soc. 227, 185-206 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0351.12101

Cited in 1 Review
Cited in 3 Documents

MSC:

12H05 Differential algebra
Cite Review PDF
Full Text: DOI

References:

[1] James Ax, On Schanuel’s conjectures, Ann. of Math. (2) 93 (1971), 252 – 268. · Zbl 0232.10026 · doi:10.2307/1970774
[2] Claude Chevalley, Introduction to the Theory of Algebraic Functions of One Variable, Mathematical Surveys, No. VI, American Mathematical Society, New York, N. Y., 1951. · Zbl 0045.32301
[3] Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. · Zbl 0141.08601
[4] Irving Kaplansky, An introduction to differential algebra, Actualités Sci. Ind., No. 1251 = Publ. Inst. Math. Univ. Nancago, No. 5, Hermann, Paris, 1957. · Zbl 0083.03301
[5] Joseph Fels Ritt, Integration in Finite Terms. Liouville’s Theory of Elementary Methods, Columbia University Press, New York, N. Y., 1948. · Zbl 0031.20603
[6] J. F. Ritt, On the integrals of elementary functions, Trans. Amer. Math. Soc. 25 (1923), no. 2, 211 – 222. · JFM 49.0261.05
[7] Maxwell Rosenlicht, Liouville’s theorem on functions with elementary integrals, Pacific J. Math. 24 (1968), 153 – 161. · Zbl 0155.36702
[8] Maxwell Rosenlicht, On the explicit solvability of certain transcendental equations, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 15 – 22. · Zbl 0181.32404
[9] -, On Liouville’s theory of elementary functions, Pacific J. Math. (to appear). · Zbl 0318.12107
[10] M. Singer, Functions satisfying elementary relations, Thesis, Univ. of California, Berkeley, 1974.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.