On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials

Authors

  • K. P. Samanta Bengal Engineering and Science University.
  • A. K. Chongdar Bengal Engineering and Science University.

DOI:

https://doi.org/10.4067/S0716-09172014000200001

Keywords:

Laguerre polynomials, biorthogonal polynomials, generating functions, polinomios de Laguerre, polinomios biortogonales, funciones generatrices.

Abstract

In this note, we have obtained some novel bilateral generating functions involving Konhauser biorthogonal polynomials,  which is converted into trilateral generating functions with Tchebycheff polynomials by group theoretic method. As special cases, we have obtained the corresponding results on generalised Laguerre polynomials. Some applications are also given here.

Author Biographies

K. P. Samanta, Bengal Engineering and Science University.

Department of Mathematics.

A. K. Chongdar, Bengal Engineering and Science University.

Department of Mathematics.

References

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Published

2017-03-23

How to Cite

[1]
K. P. Samanta and A. K. Chongdar, “On generating functions of biorthogonal polynomials suggested by the Laguerre polynomials”, Proyecciones (Antofagasta, On line), vol. 33, no. 2, pp. 133-146, Mar. 2017.

Issue

Section

Artículos