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The Bessel Polynomials

Published online by Cambridge University Press:  20 November 2018

J. L. Burchnall
J. L. Burchnall*
Affiliation:
Durham, England
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1. Krall and Frink [2] have recently considered in connection with certain solutions of the wave equation a system of polynomials yn(x), {n = 0, 1, 2, …), where yn is defined as that polynomial solution of the differential equation

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 62 - 68
Copyright
Copyright © Canadian Mathematical Society 1951

References

[1] Burchnall, J. L. and Chaundy, T. W., Commutative ordinary differential operators. II. The identity Pn = Qm , Proc. Roy. Soc. A, vol. 134 (1931), 471–485.Google Scholar
[2] Krall, H. L. and Frink, Orrin, A new class of orthogonal polynomials: The Bessel polynomials, Trans. Amer. Math. Soc, vol. 65 (1949), 100–115.Google Scholar