R(p,q)-calculus: differentiation and integration

Mahouton Norbert Hounkonnou; Joseph Désiré Bukweli Kyemba

doi:10.55937/sut/1394548362

June 2013

R(p,q)

-calculus: differentiation and integration

Mahouton Norbert Hounkonnou, Joseph Désiré Bukweli Kyemba

Author Affiliations +

SUT J. Math. 49(2): 145-167 (June 2013). DOI: 10.55937/sut/1394548362

Abstract

We build a framework for $R(p,q)$ -deformed calculus, which provides a method of computation for deformed $R(p,q)$ -derivative and integration, generalizing known deformed derivatives and integrations of analytic functions defined on a complex disc as particular cases corresponding to conveniently chosen meromorphic functions. Under prescribed conditions, we define the $R(p,q)$ -derivative and integration. Relevant examples are also given.

Funding Statement

This work is partially supported by the Abdus Salam International Centre for Theoretical Physics (ICTP, Trieste, Italy) through the Office of External Activities (OEA) - Prj-15. The ICMPA is in partnership with the Daniel Iagolnitzer Foundation (DIF), France.

Acknowledgements

This work has been finalized during the visit of MNH as visiting professor at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland, from 31 August to 30 September 2013. MNH is thankful to Professor Tudor Ratiu, Head of the Chair of Geometric Analysis (CGA) at the EPFL, and his collaborators for their hospitality during his stay.

Citation

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Mahouton Norbert Hounkonnou. Joseph Désiré Bukweli Kyemba. " $R(p,q)$ -calculus: differentiation and integration." SUT J. Math. 49 (2) 145 - 167, June 2013. https://doi.org/10.55937/sut/1394548362