| Title:
|
Random walk probabilities in terms of Legendre polynomials (English) |
| Author:
|
El-Shehawey, Mohamed A. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
443-451 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60G50 |
| idZBL:
|
Zbl 1014.60047 |
| idMR:
|
MR1940248 |
| . |
| Date available:
|
2009-09-25T14:10:02Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129083 |
| . |
| Reference:
|
[1] COX D. R.-MILLER H. D.: The Theory of Stochastic Processes.Methuen, London, 1965. Zbl 0149.12902, MR 0192521 |
| Reference:
|
[2] EL-SHEHAWEY M. A.: On the frequency count for a random walk with absorbing boundaries: a carcinogenesis example I.J. Phys. A, Math. Gen. 27 (1994), 7035-7046. Zbl 0843.60086, MR 1309785 |
| Reference:
|
[3] EL-SHEHAWEY M. A.-MATRAFI B. N.: On a gambler's ruin problem.Math. Slovaca 47 (1997), 483-488. Zbl 0965.60043, MR 1796961 |
| Reference:
|
[4] EL-SHEHAWEY M. A.: Absorption probabilities for a random walk between two partially absorbing boudaries I.J. Phys. A, Math. Gen. 33 (2000), 9005-9013. MR 1811225 |
| Reference:
|
[5] FELLER W.: An Introduction to Probability Theory and its Applications.Vol. 1 (Зrd ed.), Wiley, New York, 1968. Zbl 0155.23101, MR 0228020 |
| Reference:
|
[6] NEUTS M. F.: General transition probabilities for finite Markov chains.Math. Proc. Cambridge Philos. Soc. 60 (1964), 83-91. Zbl 0124.34101, MR 0158436 |
| Reference:
|
[7] RAYKIN M.: First passage probability of a random walk on a disordered one-dimensional lattice.J. Phys. A, Math. Gen. 26 (1993), 449-466. Zbl 0768.60061, MR 1210918 |
| Reference:
|
[8] SRINIVASAN S. K.-MEHATA K. M.: Stochastic Processes.Mc Graw Hill, New Delhi, 1976. |
| Reference:
|
[9] WEISS G. H.-HAVLIN S.: Trapping of random walks on the line.3. Statist. Phys. 37 (1984), 17-25. Zbl 0586.60066, MR 0774882 |
| Reference:
|
[10] WHITTAKER E. T.-WATSON G. N.: A Course of Modern Analysis (4th ed.).University press, Cambridge, 1963. MR 1424469 |
| . |
