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 some.JPG 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.

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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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[4] E. B. McBride, Obtaining Generating Functions, Springer-Verlag New York, (1971).

[5] H. B. Mittal, A generalization of Laguerre polynomials, Publ. Math. Debrecen, 18, pp. 53—88, (1971).

[6] H. B. Mittal, Operational representations for the generalized Laggure polynomial, Glasnik Mat. Ser III, 6(26), pp. 45—53, (1971).

[7] H. B. Mittal, Bilinear and bilateral generating relations, American J. Math. 99, pp. 23—45, (1977).

[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).

[9] E. D. Rainville, Special Functions, The Macmillan Company, New York, (1960).

[10] R. P. Singh, On generalized Truesdell polynomials, Rivista de Mathematica, 8, pp. 345—353, (1968).

[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).

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Published

2017-04-18

Issue

Section

Artículos

How to Cite

[1]
“On some properties of a class of polynomials suggested by mittal”, Proyecciones (Antofagasta, On line), vol. 26, no. 2, pp. 145–156, Apr. 2017, doi: 10.4067/S0716-09172007000200001.