Abstract
We show that certain two-term transformation formulas between basic hypergeometric series can easily be described by means of invariance groups. For the transformations of nonterminating φ23 series, and those of terminating balanced φ34 series, these invariance groups are symmetric groups. For transformations of φ12 series the invariance group is the dihedral group of order 12. Transformations of terminating φ23 series are described by means of some subgroup of S6, and finally the invariance group of transformations of very-well-poised nonterminating φ78 series is shown to be isomorphic to the Weyl group of a root system of type D5.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
