Download Our App
A BASIC HYPERGEOMETRIC EQUATION IN CONTEXT TO NONCOMMUTATIVE HYPERGEOMETRIC FUCTION
Recently, J. A. Tirao [Proc. Nat. Acad. Sci. 100 (14) (2003), 8138{8141] considered a matrix-valued analogue of the 2F1 Gauß hypergeometric function and showed that it is the unique solution of a matrix-valued hypergeometric equation analytic at z = 0 with value I, the identity matrix, at z = 0. We give an independent proof of Tirao's result, extended to the more general setting of hypergeometric functions over an abstract unital Banach algebra. We provide a similar (but more complicated-looking) result for a second type of noncommutative 2F1 Gauß hypergeometric function. We further give q-analogues for both types of noncommutative hypergeometric equations. Our results may cast new light and give a better inside own investigation of certain twisted version of Yangians related to the representation theory of infinite dimensional Lie Algebra.
By Dr.Shobha Lal
Campus News & Events
-
Study materialColleges are sharing lecture notes, study material, file, assignment etc. -
Educational videosCollege student sharing a great video to help peers study. -
Previous Year PapersAccess previous year papers for various courses. -
Clarify DoubtsAsk any study related doubt and get answered by college students and faculty.
Info. update by students of the respective college only.
