On some properties of a class of polynomials suggested by mittal
DOI:
https://doi.org/10.4067/S0716-09172007000200001Keywords:
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 
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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References
[1] A. M.Chak, A class of polynomials and generalization of stirling numbers, Duke J. Math. 23 pp. 45—55, (1956).
[2] S. K. Charttejea, On generalization of Laguerre polynomials, Rend. Mat. Univ. Padova 34, pp. 180—190, (1964).
[3] H. W. Gould and A. T. Hopper, Operational formulas connected with two generalizations of Hermite polynomials, Duke Math. J. 29, pp. 51—63, (1962).
[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).
[2] S. K. Charttejea, On generalization of Laguerre polynomials, Rend. Mat. Univ. Padova 34, pp. 180—190, (1964).
[3] H. W. Gould and A. T. Hopper, Operational formulas connected with two generalizations of Hermite polynomials, Duke Math. J. 29, pp. 51—63, (1962).
[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
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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.
