Summation, Transformation, and Expansion Formulas for Bibasic Series
- 1 March 1989
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 312 (1) , 257-277
- https://doi.org/10.2307/2001216
Abstract
An indefinite bibasic sum containing three parameters is evaluated and used to derive bibasic extensions of Euler’s transformation formula and of a Fields and Wimp expansion formula. It is also used to derive a transformation formula involving four independent bases, a $q$-Lagrange inversion formula, and some quadratic, cubic and quartic summation formulas.Keywords
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