Vol. 9 No. 1 (2025): Vol 9, Iss 1, Year 2025
Articles

A Study of Generalized Alpa(q) Difference Operator and Its Sum

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  • Saraswathi D,
  • Dhatchaya V,
  • Geethalakshmi S
Saraswathi D
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India.
Dhatchaya V
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India.
Geethalakshmi S
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India.
DOI: https://doi.org/10.26524/cm206
Published June 16, 2025
Keywords
  • q- Delta operator, q(α)- Delta operator, q - Nabla Operator, q(α) - Nabla Operator.
How to Cite
Saraswathi D, Dhatchaya V, & Geethalakshmi S. (2025). A Study of Generalized Alpa(q) Difference Operator and Its Sum. Journal of Computational Mathematica, 9(1), 99-138. https://doi.org/10.26524/cm206

Abstract

This paper aims to the generaized α(q)- difference operator and its sums. By equating the closed and summation forms of inverse operators, we derive novel summation formulae. These advancements contribute to a deeper understanding of the calculus framework and its applications across various mathematical and scientific fields. This results can be applied to improve dicrete dynamic systems, enchance computational techniques and provide new insights into the behaviour of discrete functions.

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