Solutions for Higher Order Cauchy Difference Equation in Free Monoid

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Keywords:

Cauchy Difference Equation; Free Monoid, Abelian Group

Abstract

Let  h:  P   →  Q   is   a   Function,   where   P  is   a  Group  with   respect to multiplication and Q be an  Abelian  Group  with  respect  to  addition. In this article, the mth Order Cauchy Difference Equation mceclip0-76e7638b8ad6450f0fc01a0b876c3fbc.pngis discussed, where ℎ mceclip1-9b5b357a4bbec040f48c4c577cad7e69.png

as function of combination r at a time from m objects.  we find solutions of D(m)h = 0 in Free Monoid.

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Published

2024-09-14

How to Cite

M. Pradeep, & S. Bala. (2024). Solutions for Higher Order Cauchy Difference Equation in Free Monoid. Journal of Computational Analysis and Applications (JoCAAA), 33(05), 261–267. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/497

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