Jackson and Hahn Difference Models as Discrete Bittner Operational Calculus Representations

Wysocki, Hubert

doi:10.5604/01.3001.0010.6752

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Jackson and Hahn Difference Models as Discrete Bittner Operational Calculus Representations

Maritime Technical Journal

Volume 211 (2017): Issue 4 (December 2017)

By: Hubert Wysocki

Open Access

|Dec 2017

Abstract

In the paper, there have been constructed discrete models of the non-classical Bittner operational calculus that are related to the notions of Jackson and Hahn derivatives, both known from the quantum calculus. To achieve it, we have used the Bittner operational calculus representation for the forward difference.

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