Solution of the Second Order Cauchy Difference Equation On Free Monoid

Authors

Keywords:

Cauchy difference equation, free Monoids

Abstract

Let h:S → T be a function, where (S,.)is a monoid and (T,+) is an abelian group. In this paper, the following Second Order Cauchy difference of h : C(2)h(p1,p2,p3) = h(p1p2p3)−h(p1p2)−h(p1p3)−h(p2p3)+ h(p1)+h(p2)+h(p3)∀p1,p2,p3∈S is studied. We give some special solutions of C(2)h=0 on free Monoid.

 

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Published

2024-09-11

How to Cite

M. Pradeep, & S. Bala. (2024). Solution of the Second Order Cauchy Difference Equation On Free Monoid. Journal of Computational Analysis and Applications (JoCAAA), 33(05), 60–66. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/441

Issue

Vol. 33 No. 05 (2024): JOCAAA

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.