A qanalogue of Graf's addition formula for the HahnExton qBessel function
Abstract
An addition and product formula for the HahnExton $q$Bessel function, previously obtained by use of a quantum group theoretic interpretation, are proved analytically. A (formal) limit transition to the Graf addition formula and corresponding product formula for the Bessel function is given.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 1994
 arXiv:
 arXiv:math/9404217
 Bibcode:
 1994math......4217K
 Keywords:

 Mathematics  Classical Analysis and ODEs;
 Mathematics  Quantum Algebra