Geronimus polynomials

Short description: Families of orthogonal polynomials studied by Yakov Lazarevich Geronimus

In mathematics, Geronimus polynomials may refer to one of the several different families of orthogonal polynomials studied by Yakov Lazarevich Geronimus.

References

• Geronimus, J. (1930), "On a Set of Polynomials", Annals of Mathematics, Second Series 31 (4): 681–686, doi:10.2307/1968164, ISSN 0003-486X 
• Lebedev, V. I. (2000), "On the solution of inverse problems and trigonometric forms for the Geronimus polynomials. Application to the theory of iterative methods", Russian Journal of Numerical Analysis and Mathematical Modelling 15 (1): 73–93, doi:10.1515/rnam.2000.15.1.73, ISSN 0927-6467 
• Peherstorfer, Franz (1992), "On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas", Journal of Approximation Theory 70 (2): 156–190, doi:10.1016/0021-9045(92)90083-Z, ISSN 0021-9045