| Title:
|
A function related to a Lagrange-Bürmann series (English) |
| Author:
|
Bracken, Paul |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
643-650 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Lagrange-Bürmann |
| Keyword:
|
Laplace transform |
| MSC:
|
32A05 |
| MSC:
|
40A25 |
| MSC:
|
41A58 |
| MSC:
|
44A10 |
| idZBL:
|
Zbl 1016.32002 |
| idMR:
|
MR1923268 |
| . |
| Date available:
|
2009-09-24T10:55:04Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127750 |
| . |
| Reference:
|
[1] T. J. I’A. Bromwich: An Introduction to the Theory of Infinite Series.MacMillan, London, 1964. Zbl 0133.00801 |
| Reference:
|
[2] E. T. Whittaker, G. N. Watson: A Course of Modern Analysis.Cambridge University Press, 4. ed., 1973. MR 1424469 |
| Reference:
|
[3] B. C. Berndt: Ramanujan’s Notebooks, Part I.Springer Verlag, New York, 1985. Zbl 0555.10001, MR 0781125 |
| Reference:
|
[4] G. H. Hardy and P. V. S. Aiyar: Collected Papers of Srinivasa Ramanujan.Chelsea Publishing Company, New York, 1962. |
| . |
