On some properties of a class of polynomials suggested by mittal

Authors

  • Ajay K. Shukla S. V. National Institute of Technology.
  • Jyotindra C. Prajapati S. V. National Institute of Technology.

DOI:

https://doi.org/10.4067/S0716-09172007000200001

Keywords:

Operational formulae, Generating relations, Finite sum formulae.

Abstract

The object of this paper is to establish some generating relations by using operational formulae for a class of polynomials T(?+s?1) kn (x) defined by Mittal. We have also derived finite summation formulae for (1.6) by employing operational techniques. In the end several special cases are discussed.

Author Biographies

Ajay K. Shukla, S. V. National Institute of Technology.

Department of Mathematics.

Jyotindra C. Prajapati, S. V. National Institute of Technology.

Department of Mathematics.

References

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[8] K. R. Patil and N.K. Thakre, Operational formulas for a function defined by a generalized Rodrigues formula-II, Sci. J. Shivaji Univ. 15, pp. 1—10, (1975).

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[11] H. M. Srivastava, Some biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 98(1), pp. 235—250,
(1982).

[12] H. M. Srivastava and H.L. Manocha, A Treatise on Generating Functions, Ellis Horwood Limited, Chichester, (1984).

Published

2017-04-18

How to Cite

[1]
A. K. Shukla and J. C. Prajapati, “On some properties of a class of polynomials suggested by mittal”, Proyecciones (Antofagasta, On line), vol. 26, no. 2, pp. 145-156, Apr. 2017.

Issue

Section

Artículos