q-Extensions of Barnes', Cauchy's, and Euler's beta integrals
Author: George Gasper
Abstract:
It is shown how Cauchy's residue theorem and certain summation formulas
for basic hypergeometric series can be used to further extend some
previous q-extensions of Barnes', Cauchy's, and Euler's beta integrals.
In addition, related basic contour integrals are evaluated, a general
transformation formula for basic hypergeometric series is derived and
some directions for future research are pointed out.
This article published in
Topics in Mathematical Analysis, Yh. M. Rassias, ed.,
World Scientific Publ. Comp., London and Singapore (1989), 294--314.
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