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entire function; Siciak extremal function; generalized order; generalized type; approximation errors; interpolation errors

References:

[1] Ganti, R., Srivastava, G. S.: **Approximation of entire functions of slow growth**. General Math. 14 (2) (2006), 65–82. MR 2270298 | Zbl 1164.30301

[2] Janik, A.: **A characterization of the growth of analytic functions by means of polynomial approximation**. Univ. Iagel. Acta Math. 24 (1984), 295–319. MR 0815914 | Zbl 0554.32015

[3] Janik, A.: **On approximation of entire functions and generalized order**. Univ. Iagel. Acta Math. 24 (1984), 321–326. MR 0815915

[4] Kapoor, G. P., Nautiyal, A.: **Polynomial approximation of an entire function of slow growth**. J. Approx. Theory 32 (1981), 64–75. DOI 10.1016/0021-9045(81)90022-8 | MR 0629582 | Zbl 0495.41005

[5] Seremeta, M. N.: **On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion**. Amer. Math. Soc. Transl. Ser. 2 88 (1970), 291–301.

[6] Shah, S. M.: **Polynomial approximation of an entire function and generalized order**. J. Approx. Theory 19 (1977), 315–324. DOI 10.1016/0021-9045(77)90095-8 | MR 0440254

[7] Winiarski, T.: **Application of approximation and interpolation methods to the examination of entire functions of $n$ complex variables**. Ann. Polon. Math. 28 (1973), 97–121. MR 0328091 | Zbl 0257.32008