Literature cited
E. M. Wright, “The number of connected sparsely edged graphs. III. Asymptotic results,” J. Graph Theory,4, No. 4, 393–407 (1980).
E. M. Wright, “Enumeration of smooth labeled graphs,” Proc. Soc. Edinburgh,91A, No. 3–4, 205–212 (1981).
G. N. Bagaev and E. F. Dmitriev, “The enumeration of connected labeled bipartite graphs,” Dokl. Akad. Nauk BSSR,28, No. 12, 1061–1063 (1984).
V. A. Voblyi, “Asymptotic enumeration of labeled connected sparse graphs with a given number of pendant vertices,” in: Discrete Analysis, No. 42 [in Russian], Novosibirsk (1985), pp. 3–16.
E. M. Wright, “The number of connected sparsely edged graphs. IV. Large nonseparable graphs,” J. Graph Theory,7, No. 2, 219–229 (1983).
E. Kamke, Differentialgleichungen. Lösungsmethoden und Lösungen, Akad. Verlagsgesellschaft, Geest & Portig K.-G., Leipzig (1959).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press (1960).
H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. I, McGraw-Hill, NewYork (1953).
J. Riordan, An Introduction to Combinatorial Analysis, Wiley, New York (1958).
E. A. Bender, “An asymptotic expansion for the coefficients of some formal power series,” J. London Math. Soc.,9, 451–458 (1975).
L. Comtet, Analyse Combinatoire. Vol. 1, Presses Universitaires de France, Paris (1970).
F. W. Olver, Asymptotics and Special Functions, Academic Press, New York (1974).
E. A. Bender and L. B. Richmond, “An asymptotic expansion for the coefficients of some power series. II: Legrange inversion,” Discrete Math.,50, No. 2–3, 135–141 (1984).
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Translated from Matematicheskie Zametki, Vol. 42, No. 6, pp. 854–862, December, 1987.
The author is grateful to A. A. Abramov and V. K. Leont'ev for discussions on the paper.
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Voblyi, V.A. Wright and Stepanov-Wright coefficients. Mathematical Notes of the Academy of Sciences of the USSR 42, 969–974 (1987). https://doi.org/10.1007/BF01137454
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DOI: https://doi.org/10.1007/BF01137454