Bibliography
Boas jr.,R. P.: The Stieltjes Moment Problem for Functions of Bounded Variation. Bull. Amer. Math. Soc.45, 399–404 (1939).
Hahn, W.: Über die Jacobischen Polynome und zwei verwandte Polynomklassen. Mathemat. Z.39, 634–638 (1935).
— Über höhere Ableitungen von Orthogonalpolynomen. Mathemat. Z.43, 101 (1937).
Krall, H. L.: On derivatives of orthogonal polynomials. Bull. Amer. Math. Soc.42, 423–428 (1936).
— On higher derivatives of orthogonal polynomials. Bull. Amer. Math. Soc.42, 867–870 (1936).
— Certain Differential Equations for Tchebycheff Polynomials. Duke Math. J.4, 705–718 (1938).
Krall, H. L. On Orthogonal Polynomials Satisfying a Certain Fourth Order Differential Equation. The Penn. State College Studies No. 6 (1940).
—, andI. M. Sheffer: A Characterization of Orthogonal Polynomials. J. of Math. Anal. and Applications8, 232–244 (1964).
Webster, M. S.: Orthogonal polynomials with orthogonal derivatives. Bull. Amer. Math. Soc.44, 880–887 (1938).
Author information
Authors and Affiliations
Additional information
This research was supported in part by National Science Foundation grant GP-2073.
Rights and permissions
About this article
Cite this article
Krall, H.L., Sheffer, I.M. On pairs of related orthogonal polynomial sets. Math Z 86, 425–450 (1965). https://doi.org/10.1007/BF01110813
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01110813