Keywords
- Entire Function
- Polynomial Interpolation
- Open Convex
- Triangular Array
- Cauchy Kernel
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References
T. Bloom Kergin interpolation of entire functions on ℂn, Duke Math. J. 48 (1981) 69–83.
T. Bloom Polynomial interpolation for entire functions on ℂn, Proc. Symp. Pure Math. (to appear).
C. de Boor Polynomial interpolation, Proc. Int. Cong. Math., Helsinki (1978), 917–922.
T.N.T. Goodman and A. Sharma Convergence of multivariate polynomials interpolating on a triangular array (to appear).
A.O. Gel'fond Calcul des Differences Finies, Dunod, Paris (1963).
P. Kergin A natural interpolation of Ck functions, J. of Approx. Theory 20 No. 4 (1980) 278–293.
C. Micchelli and P. Milman A formula for Kergin interpolation in ℝk, J. of Approx. Theory 29 (1980) 294–296.
L.I. Ronkin Introduction to the Theory of Entire Functions of Several Variables, American Mathematical Society, Providence Rhode Island (1974).
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© 1984 Springer-Verlag
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Bloom, T. (1984). On the convergence of interpolating polynomials for entire functions. In: Amar, E., Gay, R., Van Thanh, N. (eds) Analyse Complexe. Lecture Notes in Mathematics, vol 1094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099150
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DOI: https://doi.org/10.1007/BFb0099150
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Online ISBN: 978-3-540-39096-1
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