This work introduces deformed bivariate q-Appell polynomials and derives many structural formulas, but a key characterization theorem contains an error that propagates into the examples.
Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers
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abstract
We define the deformed $(s,t)$-binomial formula and the deformed Newton $(s,t)$-binomial series, and we will use it to establish the generating functions of the generalized central binomial coefficients and the generalized Catalan numbers.
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Deformed Bivariate $q$-Appell Polynomials
This work introduces deformed bivariate q-Appell polynomials and derives many structural formulas, but a key characterization theorem contains an error that propagates into the examples.