An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic, and Quartic Summation and Transformation Formulas
Authors: George Gasper and Mizan Rahman
Abstract:
An indefinite bibasic summation formula containing four arbitrary
parameters is derived and used to to derive a bilateral bibasic
summation formula and some rather general quadratic, cubic, and quartic
summation and transformation formulas. In particular, a cubic
transformation formula with four parameters is derived which contains
as a special case a $q$-extension of Gosper's previously unproven
strange evaluation of a ${}_7F_6$ series.
This article published in
Canad. J. Math. 42 (1990), 1--27.
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