On the Inverse of the Taylor Operator

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Publicado: 2025-08-08
DOI: https://doi.org/10.71712/
Palabras clave:
Taylor series expansion, Taylor operator, shift operator, difference operator, difference equation, Gamma function, Digamma (or Psi) function.

Contenido principal del artículo

Demetrios P. Kanoussis
Department of Mathematics, National Technical University of Athens, Zografu Campus, 157 80, Athens, Greece
Vassilis G. Papanicolaou
Department of Mathematics, National Technical University of Athens, Zografu Campus, 157 80, Athens, Greece

Resumen

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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Número

Vol. 24 (2013)

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Articles
Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

Demetrios P. Kanoussis, & Vassilis G. Papanicolaou. (2025). On the Inverse of the Taylor Operator. Scientia, 24, 55-66. https://doi.org/10.71712/