Bibliographic Details
| Title: |
Inverse Difference Operator and their Applications to Shifted Extorial and Exponential Functions. |
| Authors: |
M., Jenitha Borges1 jenithaborges@gmail.com, S., John Borg2 sjborg@gmail.com, G., Britto Antony Xavier3 brittoshc@gmail.com |
| Source: |
IAENG International Journal of Applied Mathematics. May2026, Vol. 56 Issue 5, p1887-1895. 9p. |
| Subjects: |
Nonlinear difference equations, Exponential functions, Data visualization, Addition (Mathematics), Special functions, Factorials |
| Abstract: |
This paper introduces a generalized form of the Extorial and Exponential functions with a shift parameter. Based on these definitions, a generalized inverse difference operator acting on Extorial and Exponential functions is formulated to study discrete integration of nonlinear expressions involving falling factorials. Several summation identities are derived through established lemmas and rigorous proofs. Illustrative examples are presented to demonstrate the applicability of the obtained results. Furthermore, graphical analysis is carried out to examine the behavior of the Extorial and Exponential functions under the inverse difference operator. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
