A representation of generalized infrapolynomials
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- by Bruce L. Chalmers
- Proc. Amer. Math. Soc. 48 (1975), 358-364
- DOI: https://doi.org/10.1090/S0002-9939-1975-0372164-5
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Abstract:
A representation theorem is obtained for generalized infrapolynomials on an arbitrary complex point set. Some results on the location of zeros are also presented.References
- Bruce L. Chalmers, On weak underpolynomials of generalized infrapolynomials, J. Approximation Theory 7 (1973), 391–394. MR 349965, DOI 10.1016/0021-9045(73)90041-5
- Michael Fekete, On the structure of extremal polynomials, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 95–103. MR 41977, DOI 10.1073/pnas.37.2.95
- T. S. Motzkin and J. L. Walsh, Underpolynomials and infrapolynomials, Illinois J. Math. 1 (1957), 406–426. MR 89267
- O. Shisha, On the structure of infrapolynomials with prescribed coefficients, Pacific J. Math. 14 (1964), 1039–1051. MR 169990
- O. Shisha and J. L. Walsh, The zeros of infrapolynomials with some prescribed coefficients, J. Analyse Math. 9 (1961/62), 111–160. MR 136712, DOI 10.1007/BF02795341
- J. L. Walsh and O. Shisha, The zeros of infrapolynomials with prescribed values at given points, Proc. Amer. Math. Soc. 14 (1963), 839–844. MR 153824, DOI 10.1090/S0002-9939-1963-0153824-X
Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 358-364
- MSC: Primary 30A08
- DOI: https://doi.org/10.1090/S0002-9939-1975-0372164-5
- MathSciNet review: 0372164