A function related to a Lagrange-Bürmann series

Paul Bracken

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 643-650
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Bracken, Paul. "A function related to a Lagrange-Bürmann series." Czechoslovak Mathematical Journal 52.3 (2002): 643-650. <http://eudml.org/doc/30731>.

@article{Bracken2002,
abstract = {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.},
author = {Bracken, Paul},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lagrange-Bürmann; Laplace transform; Lagrange-Bürmann; Laplace transform},
language = {eng},
number = {3},
pages = {643-650},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A function related to a Lagrange-Bürmann series},
url = {http://eudml.org/doc/30731},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Bracken, Paul
TI - A function related to a Lagrange-Bürmann series
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 643
EP - 650
AB - 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.
LA - eng
KW - Lagrange-Bürmann; Laplace transform; Lagrange-Bürmann; Laplace transform
UR - http://eudml.org/doc/30731
ER -

References

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  1. An Introduction to the Theory of Infinite Series, MacMillan, London, 1964. (1964) Zbl0133.00801
  2. A Course of Modern Analysis, Cambridge University Press, 4. ed., 1973. (1973) MR1424469
  3. Ramanujan’s Notebooks, Part I, Springer Verlag, New York, 1985. (1985) Zbl0555.10001MR0781125
  4. Collected Papers of Srinivasa Ramanujan, Chelsea Publishing Company, New York, 1962. (1962) 

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