Seminar on Special Functions
| 主講者: | 蔣翼邁 (香港科技大學) |
| 講題: | An Heisenberg-Weyl approach to generating functions of special functions |
| 時間: | 2023-06-19 (Mon.) 10:30 - 11:30 |
| 地點: | 數學所 617 研討室 (台大院區) |
| 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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