An integral generalization of the $q$-binomial theorem and an application
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- by Yunkang Liu
- Proc. Amer. Math. Soc. 124 (1996), 165-168
- DOI: https://doi.org/10.1090/S0002-9939-96-03235-2
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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.References
- George Gasper and Mizan Rahman, Basic hypergeometric series, Encyclopedia of Mathematics and its Applications, vol. 35, Cambridge University Press, Cambridge, 1990. With a foreword by Richard Askey. MR 1052153
- A. Iserles, On the generalized pantograph functional-differential equation, European J. Appl. Math. 4 (1993), no. 1, 1–38. MR 1208418, DOI 10.1017/S0956792500000966
- Arieh Iserles and Yun Kang Liu, On pantograph integro-differential equations, J. Integral Equations Appl. 6 (1994), no. 2, 213–237. MR 1296376, DOI 10.1216/jiea/1181075805
Bibliographic Information
- Yunkang Liu
- Affiliation: Department of Applied Mathematics and Theoretical Physics University of Cambridge Silver Street Cambridge, CB3 9EW England
- Email: yl@amtp.cam.ac.uk
- Received by editor(s): July 25, 1994
- Communicated by: Hal L. Smith
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 165-168
- MSC (1991): Primary 33D99; Secondary 45J05
- DOI: https://doi.org/10.1090/S0002-9939-96-03235-2
- MathSciNet review: 1307548