On the Fast Growth of Analytic Functions by Means of Lagrange Polynomial Approximation and Interpolation
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چکیده
The present paper is concerned with the fast growth of analytic functions in the sets of the form {z C : φK(z) < R} (where φK(z) is the Siciak extremal function of a compact set K) by means of the Lagrange polynomial approximation and interpolation on K having rapidly increasing maximum modulus. To study the precise rates of growth of such functions the concept of index has been used.
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تاریخ انتشار 2010