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• [2] S. Bochner and W. T. Martin, Singularities of composite functions in several variables, Ann. of Math. (2) 38 (1937), no. 2, 293–302. MR 1503336, https://doi.org/10.2307/1968554
• [3] R. H. Cameron and W. T. Martin, Analytic continuation of diagonals and Hadamard compositions of multiple power series, Trans. Amer. Math. Soc. 44 (1938), no. 1, 1–7. MR 1501956, https://doi.org/10.1090/S0002-9947-1938-1501956-3
• [4] K.-T. Chen, R. H. Fox, and R. C. Lyndon, Free differential calculus. IV. The quotient groups of the lower central series, Ann. of Math. (2) 68 (1958), 81–95. MR 102539, https://doi.org/10.2307/1970044
• [5] S. Ginsburg and G. F. Rose, Operations which preserve definability, System Development Corporation, Santa Monica, Calif., SP-511, October, 1961.
• [6] U. S. Haslam-Jones, An extension of Hadamard multiplication theorem, Proc. London Math. Soc. II. Ser. 27 (1928), 223-232.
• [7] R. Jungen, Sur les series de Taylor n'ayant que des singularités algébrico-logarithmiques sur leur cercle de convergence, Comment. Math. Helv. 3 (1931), 226-306.
• [8] S. C. Kleene, Representation of events in nerve nets and finite automata, Automata studies, Annals of mathematics studies, no. 34, Princeton University Press, Princeton, N. J., 1956, pp. 3–41. MR 0077478
• [9] Michel Lazard, Lois de groupes et analyseurs, Ann. Sci. Ecole Norm. Sup. (3) 72 (1955), 299–400 (French). MR 0077542
• [10] A. M. Ostrowski, Solutions of equations and systems of equations, Academic Press, New York, 1960.

Bibliography

[1]

Y. Bar-Hillel, M. Perles and E. Shamir, On formal properties of simple phrase structure grammars, Technical Report No. 4. Information System Branch, Office of Naval Research, 1960. MR 0151376 (27:1361)

[2]

S. Bochner and W. T. Martin, Singularities of composite functions in several variables, Ann. of Math. 38 (1938), 293-302. MR 1503336

[3]

R. H. Cameron and W. T. Martin, Analytic continuation of diagonals, Trans. Amer. Math. Soc. 44 (1938), 1-7. MR 1501956

[4]

K. T. Chen, R. H. Fox and R. C. Lyndon, Free differential calculus. IV, Ann. of Math. (2) 68 (1958), 81-95. MR 0102539 (21:1330)

[5]

S. Ginsburg and G. F. Rose, Operations which preserve definability, System Development Corporation, Santa Monica, Calif., SP-511, October, 1961.

[6]

U. S. Haslam-Jones, An extension of Hadamard multiplication theorem, Proc. London Math. Soc. II. Ser. 27 (1928), 223-232.

[7]

R. Jungen, Sur les series de Taylor n'ayant que des singularités algébrico-logarithmiques sur leur cercle de convergence, Comment. Math. Helv. 3 (1931), 226-306.

[8]

S. Kleene, Representation of events in nerve nets and finite automata, Automata Studies, Princeton Univ. Press, Princeton, N. J., 1956. MR 0077478 (17:1040c)

[9]

M. Lazard, Lois de groupes et analyseurs, Ann. Sci. Ecole Norm. Sup. (4) 72 (1955), 299-400. MR 0077542 (17:1053c)

[10]

A. M. Ostrowski, Solutions of equations and systems of equations, Academic Press, New York, 1960.