Asymptotic Limits for a Two‐Dimensional Recursion
- 1 June 1981
- journal article
- research article
- Published by Wiley in Studies in Applied Mathematics
- Vol. 64 (3) , 271-277
- https://doi.org/10.1002/sapm1981643271
Abstract
In this paper we consider the general two‐dimensional recursion g(n + 1, r + 1) = g(n + 1, r) + bg(n, r) + g(n, r + 1) with boundary conditions g(n, 0) = g(0, r) = 1 We develop various exact and asymptotic formulas for the g(n, r).Keywords
This publication has 2 references indexed in Scilit:
- Asymptotic Methods in EnumerationSIAM Review, 1974
- Note on a “Square” Functional EquationSIAM Review, 1970