Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-04-30T17:47:26.131Z Has data issue: false hasContentIssue false
  • English
  • Français

On a new class of polynomials

Published online by Cambridge University Press:  18 May 2009

Rekha Panda
Rekha Panda
Affiliation:
Department of MathematicsUniversity of VictoriaVictoria, British ColumbiaCanada V8W2Y2
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The present paper incorporates a preliminary study of a new generalization of several known polynomial systems belonging to (or providing extensions of) the families of the classical Jacobi, Hermite and Laguerre polynomials. It is shown how suitable specializations will yield a number of known or new results in the theory of the special functions considered.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 1 , January 1977 , pp. 105 - 108
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

REFERENCES

1.Brafman, F., Some generating functions for Laguerre and Hermite polynomials, Canad. J. Math. 9 (1957), 180–187.CrossRefGoogle Scholar
2.Chandel, R. C. Singh, Generalized Laguerre polynomials and the polynomials related to them, Indian J. Math. 11 (1969), 57–66.Google Scholar
3.Chandel, R. C. Singh, A short note on generalized Laguerre polynomials and the polynomials related to them, Indian J. Math. 13 (1971), 25–27.Google Scholar
4.Gould, H. W. and Hopper, A. T., Operational formulas connected with two generalizations of Hermite polynomials, Duke Math. J. 29 (1962), 51–63.CrossRefGoogle Scholar
5.Jain, R. N., A generalized hypergeometric polynomial, Ann. Polon. Math. 19 (1967), 177–184; corrigendum, Ann. Polon. Math. 20 (1968), 329.CrossRefGoogle Scholar
6.Rainville, E. D., Special functions (Macmillan Co., 1960).Google Scholar