Q-Analogues of Symbolic Operators. (14th July 2013)

• Record Type: Journal Article
• Authors: Dancs, Michael J.; He, Tian-Xiao
• Other Names: Ji Jun Academic Editor.
• Is Part Of: Journal of discrete mathematics. Volume 2013(2013)
• Publication Date: 2013-07-14
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 511.1
• DOI: 10.1155/2013/487546
• Languages: English
• ISSNs: 2090-9837

Abstract

Abstract : 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.