Previous |  Up |  Next


Lagrange-Bürmann; Laplace transform
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.
[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.
Partner of
EuDML logo