Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Given a nonnegative function f(x), M. W. Wilson observed that if Formula Presented then the polynomials Pn(x), Pn(0) = 1, orthogonal relative to f(x)dμ(x), have an expansion Formula Presented with nonnegative coefficients akn ≥ 0 where Qn(x), Qn(0) =1, are orthogonal relative to dμ(x). Recently it was shown that (1) holds for f(x) = xc, 0 < c > 1. In this paper we characterize those functions f(x) for which (1) is valid for all positive measures dμ(x). © 1978 American Mathematical Society.
Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Paul J. Steinhardt, P. Chaudhari
Journal of Computational Physics
Imran Nasim, Melanie Weber
SCML 2024
Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering