Open Access-Analogues of Symbolic Operators
Author(s) -
Michael J. Dancs,
Tian-Xiao He
Publication year - 2013
Publication title -
journal of discrete mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-9837
pISSN - 2090-9845
DOI - 10.1155/2013/487546
Subject(s) - substitution (logic) , construct (python library) , operator (biology) , transformation (genetics) , series (stratigraphy) , euler's formula , convergence (economics) , algebra over a field , the symbolic , linear map , mathematics , symbolic data analysis , computer science , pure mathematics , theoretical computer science , mathematical analysis , programming language , psychology , paleontology , biochemistry , chemistry , repressor , biology , transcription factor , psychoanalysis , economics , gene , economic growth
Here presented are -extensions of several linear operators including a novel -analogue of the derivative operator . Some -analogues of the symbolic substitution rules given by He et al., 2007, are obtained. As sample applications, we show how these -substitution rules may be used to construct symbolic summation and series transformation formulas, including -analogues of the classical Euler transformations for accelerating the convergence of alternating series
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