Q-Analogues of Symbolic Operators

Here presented are q-extensions of several linear operators including a novel q-analogue of the derivative operator D. Some q-analogues of the symbolic substitution rules given by He et al., 2007, are obtained. As sample applications, we show how these q-substitution rules may be used to construct s...

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Bibliographic Details
Published in:Journal of Discrete Mathematics 2013, Vol.2013 (2013), p.1-6
Main Authors: Dancs, Michael J., He, Tian-Xiao
Format: Article
Language:English
Online Access:Get full text
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Summary:Here presented are q-extensions of several linear operators including a novel q-analogue of the derivative operator D. Some q-analogues of the symbolic substitution rules given by He et al., 2007, are obtained. As sample applications, we show how these q-substitution rules may be used to construct symbolic summation and series transformation formulas, including q-analogues of the classical Euler transformations for accelerating the convergence of alternating series.
ISSN:2090-9837
2090-9845
DOI:10.1155/2013/487546