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Distribution of zeros of entire functions Levin B.Ja.
Publisher: AMS

Let f be an entire function of finite order and set E = f-l{0, i}. Zeros and these have a uniform angular distribution. On the convexity of the maximum modulus and its connection with the radial distribution of zeros of entire functions - by Dania Mohamad Zantout. Polya in his great paper of 1929 [13] made a study of lacunary entire functions and. A theoretical explanation of the observed phenomenon of multiple resonance is given using classical results of the distribution of zeros of entire functions. Chapter 2 General Properties of Entire Functions of Finite Order. ZEROS AND UNITIES OF ENTIRE FUNCTIONS OF FINITE ORDER. General Properties of Entire Functions of Finite Order. Let f be an entire function of the exponential type, such that the indicator diagram is in [−iσ,iσ], .. Levin, Distribution of Zeros of Entire Functions, Translations of Mathe-. More precisely, if f : C → C is an entire function such that f(z) can take a value . 8 Connections Between Growth and Distribution of Zeros. A complex number w will be called a linearly distributed value of the entire function f(z) If f(z) is an entire transcendental function of order less than one, then any . Distribution of Zeros of Entire Functions (Translations of Mathematical Monographs) [B. Real on the real axis, has only real zeros and has order less than one, so that. Levin, Distribution of Zeros of Entire Functions, Amer.