## Approximation and interpolation applied to entire functions |

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Applying theorem approximating polynomials arbitrary complex numbers arc of length belong bounded region class of functions combinaties van functies converges uniformly Conversely every entire Corollary double-sector entire function f(z exponential type finite limit-point formal power-series function of exponential functions all zeros Ganapathy Iyer gn(z half-lines with directions Hence f(z LaGuErrE lemma Let f Let f(z Let R consist Let the sequence Levinson limit-function f(z Lindwart lineaire combinaties monotonic function N. G. DE BRUIJN number of zeros Obrechkoff P6lya partial sums points of continuity Polya polynomials fn(z positive integer Proof of theorem prove R-function regular Remark represents an entire satisfy the conditions sector with aperture sequence fn(z sequence of points sequence of polynomials sequence zn sets R satisfying smaller type stelling suppose SzAsz tending to infinity theorem 14 type of f(z vertex Weisner z—zn zero type zeros of fn(z znp runs