Coefficients in Expansions of Certain Rational Functions
- 1 August 1982
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 34 (4) , 1011-1024
- https://doi.org/10.4153/cjm-1982-073-1
Abstract
The constant term of certain rational functions has attracted much attention recently. For example the Dyson conjecture; that the constant term of is the multinomial coefficient has spawned many generalizations (see [2], [7]). In this paper we consider some other families of rational functions which have interesting constant terms. For example, Corollary 4 states that the constant term of (1.1) is . Here, and throughout this paper, A and B denote fixed positive integers.In order to prove this result, we consider the rational function in two variablesKeywords
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