The Journal of the Indian Mathematical Society

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On Double Difference Operators via Four Dimensional Matrices


Affiliations
1 Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, India
     

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In the present article, we define the double difference operators 2Δr and 2Δ(r) of integral order r. Using matrix transformations, these two difference operators are being expressed by 4-dimensional infinite matrices. We find their inverse operators through four dimensional matrix characterizations. Also, certain relations are being established among these operators with their inverses.

Keywords

Difference Operators 2Δr, 2Δ(r), Four Dimensional Matrix Transformations.
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  • On Double Difference Operators via Four Dimensional Matrices

Abstract Views: 414  |  PDF Views: 13

Authors

P. Baliarsingh
Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, India

Abstract


In the present article, we define the double difference operators 2Δr and 2Δ(r) of integral order r. Using matrix transformations, these two difference operators are being expressed by 4-dimensional infinite matrices. We find their inverse operators through four dimensional matrix characterizations. Also, certain relations are being established among these operators with their inverses.

Keywords


Difference Operators 2Δr, 2Δ(r), Four Dimensional Matrix Transformations.

References