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q -Analogs of Some Biorthogonal Functions

Published online by Cambridge University Press:  20 November 2018

W. A. Al-Salam  and
A. Verma
W. A. Al-Salam
Affiliation:
University of Alberta Edmonton, Alberta
A. Verma
Affiliation:
University of Alberta Edmonton, Alberta
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Abstract

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In this note we obtain a q-analog of a pair of biorthogonal sets of rational functions which have been obtained recently by M. Rahman in connection with the addition theorem for the Hahn polynomials.

Keywords

33A6542C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 2 , 01 June 1983 , pp. 225 - 227
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Askey, R., A q-extension of Caughy's form of the beta integral, Quart. J. Math. Oxford (2), Vol. 32 (1981), 255–266.Google Scholar
2. Hahn, W., Über orthogonal polynome, die q-differenzen gleichungen genügen, Math. Nach. Vol. 2 (1949), 4–34.Google Scholar
3. Rahman, M., Families of biorthogonal rational functions in a discrete variable, SIAM J. Math. Anal. Vol. 12 (1981), 355–367.Google Scholar
4. Sears, D. B., On the transformation theory of basic hypergeometric functions, Proc. London Math. Soc. (2) Vol. 53 (1951), 158–191.Google Scholar
5. Slater, L. J., General transformations of bilateral series, Quart J. Math. Oxford (2) Vol. 3 (1952), 72–80.Google Scholar