Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials

Authors

  • Baghdadi Aloui

laguerre polynomials, special functions, integral formulas

Abstract

In this paper, we introduce a connection formula between the monomial basis and the shifted Laguerre basis. As an application, some integral representations in terms of Laguerre polynomials for certain sequences are obtained.

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How to Cite

Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials. (2015). Global Journal of Science Frontier Research, 15(24), 1-6. https://journalofscience.org/index.php/GJSFR/article/view/

 

References

H. Hochstadt (1971) The Functions of Mathematical Physics.

N. Lebedev (1972) Special Functions and their Applications.

P. Maroni (1994) Fonctions Eulériennes, Polynômes Orthogonaux Classiques. Techniques de l'Ingénieur. 1994, 1-30.

G. Szeg (1975) Orthogonal Polynomials, Amer. Math. Soc. Colloq. 23.

Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials

Published

2015-06-17

Issue

Vol. 15 No. 24 (2015): GJSFR, Volume 15, Issue 24 (F5), Year 2015

Section

Articles

License

Copyright (c) 2015 Authors and Global Journals Private Limited

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Certain Sequences and its Integral Representations in Terms of Laguerre Polynomials. (2015). Global Journal of Science Frontier Research, 15(24), 1-6. https://journalofscience.org/index.php/GJSFR/article/view/