Published 2013-07-12
Keywords
- Taylor series expansion,
- Taylor operator,
- shift operator,
- difference operator,
- difference equation
- Gamma function,
- Digamma (or Psi) function. ...More
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How to Cite
On the Inverse of the Taylor Operator. (2013). Scientia Series A: Mathematical Sciences, 24, 55-66. https://revistas.usm.cl/scientia/article/view/211
Abstract
We introduce a new expansion of a function inspired by the Taylor series expansion and we examine which functions admit such expansion. Via this expansion the solution of the difference equation \(y(x + 1) - y(x) = g(x)\) can be written down explicitly. Some examples involving the Gamma function are given.
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