Seminar on Special Functions

Speaker: Yik-Man Chiang (The Hong Kong University of Science and Technology)
Title: An Heisenberg-Weyl approach to generating functions of special functions
Time: 2023-06-19 (Mon.)  10:30 - 11:30
Place: Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: We show that certain generating functions from classical special functions can be better understood from solving holonomic systems of PDEs. Indeed, we show that some classical analytic work of Lommel, Schläfli-Sonine and Glaisher (all from 19th century) on Bessel functions are algebraic in nature under D-modules framework. Their natural difference analogues will be presented from this study. When time allows, we shall discuss of their q-difference analogues.
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