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The asymptotic value of a singular integral related to the cauchy-hermite interpolation formula

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References

  1. Carrier, G. F., Krook, Max, andPearson, C. E.,Functions of a Complex Variable (McGraw-Hill, New York—Toronto—London 1966).

    Google Scholar 

  2. Curtiss, J. H.,Riemann Sums and the Fundamental Polynomials of Lagrange Interpolation, Duke Math. J.8, 525–532 (1941).

    Google Scholar 

  3. Curtiss, J. H.,Necessary Conditions in the Theory of Interpolation in the Complex Domain, Ann. of Math.42, 634–646 (1941).

    Google Scholar 

  4. Curtiss, J. H.,Interpolation with Harmonic and Complex Polynomials to Boundary Values, J. Math. Mech.9, 167–192 (1960).

    Google Scholar 

  5. Curtiss, J. H.,Polynomial Interpolation in Points Equidistributed on the Unit Circle, Pacific J. Math.12, 863–877 (1962).

    Google Scholar 

  6. Fejér, Leopold,Interpolation und konforme Abbildung, Ges. Wiss. Göttingen1918, 319–331.

  7. Golusin, G. M.,Geometrische Funktionentheorie (Deutscher Verlag der Wissenschaften, Berlin 1957).

    Google Scholar 

  8. Kalmár, L.,Über Interpolation (Hungarian), Mat. Fiz. Lapok1926, 120–149.

  9. Korevaar, Jacob,Asymptotically Neutral Distribution of Electrons and Polynomial Approximation, Ann. of Math.80, 403–410 (1964).

    Google Scholar 

  10. Muskhelishvili, N. I.,Singular Integral Equations, 2nd ed. (Moscow 1946). Translation from the Russian edited by J. R. M. Radok (P. Noordhoff, Groningen 1953).

  11. O'Hara, Jr. P. J.,Convergence of Complex Lagrange Interpolation Polynomials with Nodes Lying on a Piecewise Analytic Jordan Curve with Cusps, U.S. Air Force AFOSR Scientific Report, AFOSR-67-2550.

  12. Pommerenke, Ch.,Über die Verteilung der Fekete-Punkte, Math. Ann.168, 111–127 (1966).

    Google Scholar 

  13. Siciak, Josef,On Some Extremal Funktions and Their Applications in the Theory of Analytic Functions of Several Complex Variables, Trans. Amer. Math. Soc.105, 322–357 (1962).

    Google Scholar 

  14. Steffensen, J. F.,Interpolation, Chelsea Publ., New York, N.Y. 1927.

    Google Scholar 

  15. Thompson, M. D.,Approximation by Polynomials Whose Zeros Lie on a Curve, Duke Math. J.31, 255–265 (1964).

    Google Scholar 

  16. Walsh, J. L.,Interpolation and Approximation by Rational Functions in the Complex Domain, 2nd ed., Colloq. Publ., 20, Amer. Math. Soc., Providence, R.I. 1956.

    Google Scholar 

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Authors and Affiliations

  1. University of Miami, Coral Gables, Fla., USA

    J. H. Curtiss

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  1. J. H. Curtiss
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Dedicated to Professor A. M. Ostrowski

Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under AFOSR Grant 358–66.

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Curtiss, J.H. The asymptotic value of a singular integral related to the cauchy-hermite interpolation formula. Aeq. Math. 3, 130–148 (1969). https://doi.org/10.1007/BF01817506

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