On Asymptotic Expansion in the Random Allocation of
โ Scribed by Saidbek S. Mirakhmedov; Sherzod M. Mirakhmedov
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 433 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0894-9840
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๐ SIMILAR VOLUMES
This paper extends the research of Wiegel (J. Math. Phys. 21 (1980) 2111) on random walks which differ from free random walks through the occurrence of an extra weightfactor ( 1) at every crossing of a half-line. Starting from a new closed-form expression for the weight distribution of these walks,
We consider functions f and g which are holomoxphic on closed sectors in 4: where they admit an asymptotic representation at 00 in the form of power series in z-' . We give a simple geometrical condition under which the Hadamard product f \* g of f and g porsemes again an ~y m p totic expansion at 0