G. Dattoli, B. Germano, K. Górska, M. R. Martinelli
Published 2019-08-29Version 1
The $q$-calculus is reformulated in terms of the umbral calculus and of the associated operational formalism. We show that new and interesting elements emerge from such a restyling. The proposed technique is applied to a different formulations of $q$ special functions, to the derivation of integrals involving ordinary and $q$-functions and to the study of $q$-special functions and polynomials.
Bounds for some entropies and special functions
A unified approach to $q$-special functions of the Laplace type
On complex oscillation, function-theoretic quantization of non-homogeneous periodic ODEs and special functions
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