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On generating functions for classical polynomials

Published online by Cambridge University Press:  09 April 2009

O. Shanker
O. Shanker
Affiliation:
Department of MathematicsPunjabi University Patiala, India
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Recently Brown [1] gave two new classes of generating functions which include the generating functions for the polynomials of Gegenbauer, Jacobi and Laguerre. The aim of the paper is to give a new class of generating functions which includes both sets of generating functions given by Brown and provides a new class of generating functions for the polynomials of Gegenbauer, Jacobi and Laguerre.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 4 , June 1973 , pp. 389 - 392
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Brown, J.W., ‘New generating functions for classical polynomials’, Proc. Amer. Math. Soc. 21 (1969), 263–268.Google Scholar
[2]Carlitz, L., ‘Some generating functions for Laguerre polynomials’, Duke Math. J. 35 (1968), 825–827.Google Scholar
[3]Feldheim, F., ‘Relation entre les polynomes de Jacobi, Laguerre et Hermite’, Acta Math. 75 (1943), 117–138.Google Scholar
[4]Riordan, J., Combinatorial Identities (Wiley, New York (1968)).Google Scholar
[5]Srivastava, H.M., ‘Generating functions for Jacobi and Laguerre polynomials’, Proc. Amer. Math. Soc. 23 (1969), 590–595.Google Scholar