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Article

Bracken, Paul
A function related to a Lagrange-Bürmann series. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 643-650
MSC: 32A05, 40A25, 41A58, 44A10 | MR 1923268 | Zbl 1016.32002
Keywords:
Lagrange-Bürmann; Laplace transform
Summary:
An infinite series which arises in certain applications of the Lagrange-Bürmann formula to exponential functions is investigated. Several very exact estimates for the Laplace transform and higher moments of this function are developed.
References:
[1] T. J. I’A.  Bromwich: An Introduction to the Theory of Infinite Series. MacMillan, London, 1964. Zbl 0133.00801
[2] E. T.  Whittaker, G.  N.  Watson: A Course of Modern Analysis. Cambridge University Press, 4. ed., 1973. MR 1424469
[3] B. C.  Berndt: Ramanujan’s Notebooks, Part I. Springer Verlag, New York, 1985. MR 0781125 | Zbl 0555.10001
[4] G. H.  Hardy and P. V. S.  Aiyar: Collected Papers of Srinivasa Ramanujan. Chelsea Publishing Company, New York, 1962.
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