Characterization of Delta Operator for Poisson-Charlier Polynomials

Authors

  • A. Maheswaran Post Graduate and Research Department of Mathematics, Cardamom Planters' Association College (affiliated to Madurai Kamaraj University), Bodinayakanur, Tamilnadu

DOI:

https://doi.org/10.26713/jims.v10i1-2.675

Keywords:

Delta operator, Sheffer polynomials, Poisson-Charlier polynomials, Operational methods

Abstract

The aim of the paper is to study the characterization of delta operator associated with some Sheffer polynomials. In this paper, we consider Poisson-Charlier polynomials and investigate the characterization of delta operator via sequential representation of delta operator. From our investigation, we are able to prove an interesting propositions for the above mentioned.

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References

T. Kim, D.-S. Kim, T. Mansour and J.-J. Jeo, Linear differential equations for families of polynomials, Journal of Inequalities and Applications 95 (2016), 1 – 11.

D.-S. Kim, D.V. Dolgy, T. Kim and J.-J. Seo, Poisson-Charlier and Poly-Cauchy mixed type polynomials, Adv. Studies Theor. Phys. 8 (2014), 423 – 445.

N. Ozmen and E. Erkus-Duman, On the Poisson-Charlier polynomials, Serdica Math. J. 41(2015), 457 – 470.

E.D. Rainville, Special Functions, Macmillan, New York (1960) [reprinted by Chelsea Publ. Co., Bronx, New York (1971)].

R.P. Boas and R.C. Buck, Polynomial Expansion of Analytic Functions, Springer-Verlag, New York (1964).

G.C. Rota, Finite Operator Calculus, Academic Press, London (1975).

A. Maheswaran and C. Elango, Sequential Representation of delta operator in finite operator calculus, British Journal of Mathematics and Computer Science 14 (2016), 1 – 11.

A. Maheswaran and C. Elango, Characterization of delta operator for Euler, Bernoulli of second kind and Mott polynomials, International Journal of Pure and Applied Mathematics 109 (2016), 371 – 384.

S. Roman, The Umbral Calculus, Academic Press, New York (1984).

S. Roman and G.C. Rota, The Umbral calculus, Advances in Math. 27 (1978), 95 – 188.

WolframMathworld, Poisson-Charlier polynomials, retrieved from website (October 2013): http://mathworld.wolfram.com/Poisson-CharlierPolynomial.html.

A.K. Kwasniewski, On deformation of finite operator calculus, Circolo Mathematica di Palermo 63 (2000), 141 – 148.

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Published

2018-04-30
CITATION

How to Cite

Maheswaran, A. (2018). Characterization of Delta Operator for Poisson-Charlier Polynomials. Journal of Informatics and Mathematical Sciences, 10(1-2), 33–43. https://doi.org/10.26713/jims.v10i1-2.675

Issue

Vol. 10 No. 1-2 (2018)

Section

Research Articles

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