Effect of Delta Operator on Umbral Composition in Finite Operator calculus
DOI:
https://doi.org/10.24297/jam.v12i7.5482Keywords:
Delta operator, Basic polynomial sequences, Sheffer sequences, Umbral Operator, Umbral Composition.Abstract
The main objective of this paper is to propose the matrix representation of umbral composition and investigate the effect of delta operator on umbral composition by using the sequential representation of delta operator in finite operator calculus.Downloads
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References
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[6] Maheswaran A and Elango, C ,Sequential Representation of Delta Operator in Finite Operator Calculus, British
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[7] Maheswaran A, and Elango, C , On new identities for Basic Polynomials Sequences in Finite Operator Calculus,
British Journal of Mathematics and Computer Science, 16(3): 2016, 1-11, DOI: 10.9734/BJMCS/2016/24896.
[8] Roman, Steven and Rota G.C. , TheUmbral Calculus, Academic Press, New York London, Feb 1978
[9] Rota G.C. , Finite Operator Calculus, Academic Press, London, 1975.
Department of Technology Management, (2000).
[2] Di. Nardo, E , Niederhansen H and Senato, D, A symbolic handling of Sheffer polynomials, Annali Di Mathematica
Pura Ed Applicata, Springer, September 2011.
[3] Email C.Popa. On an expansion theorem in the finite operator calculus of G.C.Rota, General Mathematics, Vol. 16,
No. 4 (2008), 149-154.
[4] Ira M. Gessel, Applications of the Classical Umbral Calculus, Research article supported by NSF grand DMS-
9972648, (2001)
[5] JianhongShen, G.C. Rota and D. Tailor, All polynomials of binomial type are represented by Abel polynomials, MIT,
Cambridge, USA, (1997).
[6] Maheswaran A and Elango, C ,Sequential Representation of Delta Operator in Finite Operator Calculus, British
Journal of Mathematics and Computer Science, 14(2): 1-11, 2016, DOI: 10.9734/BJMCS/2016/23323.
[7] Maheswaran A, and Elango, C , On new identities for Basic Polynomials Sequences in Finite Operator Calculus,
British Journal of Mathematics and Computer Science, 16(3): 2016, 1-11, DOI: 10.9734/BJMCS/2016/24896.
[8] Roman, Steven and Rota G.C. , TheUmbral Calculus, Academic Press, New York London, Feb 1978
[9] Rota G.C. , Finite Operator Calculus, Academic Press, London, 1975.
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Published
2016-07-18
How to Cite
Maheswaran, A., & Elango, C. (2016). Effect of Delta Operator on Umbral Composition in Finite Operator calculus. JOURNAL OF ADVANCES IN MATHEMATICS, 12(7), 6392–6397. https://doi.org/10.24297/jam.v12i7.5482
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