Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



An integral generalization
of the $q$-binomial theorem and an application

Author: Yunkang Liu
Journal: Proc. Amer. Math. Soc. 124 (1996), 165-168
MSC (1991): Primary 33D99; Secondary 45J05
MathSciNet review: 1307548
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Abstract: An integral identity which generalizes the $q$-binomial theorem is presented. This identity is used to determine the exponential expansion of the solution of an integro-differential equation.

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Yunkang Liu
Affiliation: Department of Applied Mathematics and Theoretical Physics University of Cambridge Silver Street Cambridge, CB3 9EW England

Received by editor(s): July 25, 1994
Communicated by: Hal L. Smith
Article copyright: © Copyright 1996 American Mathematical Society