Sum of Finite and Infinite Series Derived by Generalized Q-Alpha Derivative Operator

G.Britto Antony Xavier; T.G.Gerly

doi:https://doi.org/10.14445/22315373/IJMTT-V24P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 24 | Number 1 | Year 2015 | Article Id. IJMTT-V24P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V24P509

Sum of Finite and Infinite Series Derived by Generalized Q-Alpha Derivative Operator

G.Britto Antony Xavier, T.G.Gerly

Abstract

In this paper, by defining the generalized q-derivative operator of first kind and its inverse, we obtain some identities and formulas on finite and infinite series in the field of finite difference methods. Suitable numerical examples verified by MATLAB are provided to illustrate the main results.

Keywords

Generalized q-alpha derivative operator, geometric progression and polynomial factorial.

References

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Citation :

G.Britto Antony Xavier, T.G.Gerly, "Sum of Finite and Infinite Series Derived by Generalized Q-Alpha Derivative Operator," International Journal of Mathematics Trends and Technology (IJMTT), vol. 24, no. 1, pp. 67-72, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V24P509