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Coefficients in Expansions of Certain Rational Functions

Published online by Cambridge University Press:  20 November 2018

Ronald Evans ,
Mourad E. H. Ismail  and
Dennis Stanton
Ronald Evans
Affiliation:
University of California, San Diego, La Jolla, California
Mourad E. H. Ismail
Affiliation:
Arizona State University, Tempe, Arizona
Dennis Stanton
Affiliation:
University of Minnesota, Minneapolis, Minnesota
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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 variables

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 34 , Issue 4 , 01 August 1982 , pp. 1011 - 1024
Copyright
Copyright © Canadian Mathematical Society 1982

References

References>

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