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We use a Sheffer classification technique to give very short proofs of the addition theorem for the εq function, the representation of εq as a multiple of a 2ϕ1, and a relatively new representation of εq. A direct proof of the evaluation of the connection coefficients of the Askey-Wilson polynomials...
This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics,...
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