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Generating Functions for Bessel andRelated Polynomials

Published online by Cambridge University Press:  20 November 2018

E. D. Rainville
E. D. Rainville*
Affiliation:
The University of Michigan
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Krall and Frink [4] aroused interest in what they term Bessel polynomials. They studied in some detail what may, in hypergeometric form, be written as

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 104 - 106
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Burchnall, J. L., The Bessel polynomials, Can. J. Math., 8 (1951), 62–68.Google Scholar
2. Celine, Sister M. Fasenmyer, Some generalized hyper geometric polynomials, Bull. Amer. Math. Soc, 53 (1947), 806–812.Google Scholar
3. Grosswald, Emil, On some algebraic properties of the Bessel polynomials, Trans. Amer. Math. Soc, 71 (1951), 197–210.Google Scholar
4. Krall, H. L. and Frink, Orrin, A new class of orthogonal polynomials: the Bessel polynomials: Trans. Amer. Math. Soc, 6 (1949), 100–115.Google Scholar
5. Magnus, W. and Oberhettinger, F., Special functions of mathematical physics (New York, 1949).Google Scholar