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.
Can Umbral and q-calculus be merged? / Dattoli, G.; Germano, B.; Gorska, K.; Martinelli, M. R.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 1089-7658. - (2019). [10.13140/RG.2.2.12814.61760]
Can Umbral and q-calculus be merged?
B. Germano;M. R. Martinelli
2019
Abstract
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.File allegati a questo prodotto
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