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Article
Q-analogues of Symbolic Operators
Journal of Discrete Mathematics (2013)
  • Tian-Xiao He, Illinois Wesleyan University
  • Michael J. Dancs
Abstract
Here presented are π‘ž-extensions of several linear operators including a novel π‘ž-analogue of the derivative operator 𝐷. Some π‘ž-analogues of the symbolic substitution rules given by He et al., 2007, are obtained. As sample applications, we show how these π‘ž-substitution rules may be used to construct symbolic summation and series transformation formulas, including π‘ž-analogues of the classical Euler transformations for accelerating the convergence of alternating series.
Disciplines
Publication Date
2013
Publisher Statement
The Journal of Discrete Mathematics is published by the Hindawi Publishing Corporation, http://www.hindawi.com/.
Citation Information
Tian-Xiao He and Michael J. Dancs. "Q-analogues of Symbolic Operators" Journal of Discrete Mathematics Vol. 2013 (2013)
Available at: http://works.bepress.com/tian_xiao_he/54/