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An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas

Published online by Cambridge University Press:  20 November 2018

George Gasper  and
Mizan Rahman
George Gasper
Affiliation:
Northwestern University, Evanston, Illinois
Mizan Rahman
Affiliation:
Carleton University, Ottawa, Ontario
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Let denote the q-shifted factorial, and set Recently, Gasper [7] showed that some bibasic summation formulas derived by Carlitz [5], Al-Salam and Verma [1], and Wm. Gosper could be extended to the indefinite bibasic summation formula where p and q are independent bases and a, b, c are arbitrary parameters.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 1 , 01 February 1990 , pp. 1 - 27
Copyright
Copyright © Canadian Mathematical Society 1990

References

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