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Question: How to convert q-Hermit recurrence equation into exponential generating function?

with the information in the page

http://aw.twi.tudelft.nl/~koekoek/askey/ch3/par28/par28.html

what should do?

i guess to use Hn directly and use sum(Hn*z^m/m!)

is it possible in Maple?

 

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