Results 11 to 20 of about 3,355,363 (183)
Transactions of the American Mathematical Society, 1971 Factorizations of various functions are discussed. Complete factorizations of certain classes of functions are given. In particular it is shown that there exist primes of arbitrary growth.
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Entire functions that share two pairs of small functions
Open Mathematics, 2021 In this paper, we study the unicity of entire functions and their derivatives and obtain the following result: let ff be a non-constant entire function, let a1{a}_{1}, a2{a}_{2}, b1{b}_{1}, and b2{b}_{2} be four small functions of ff such that a1≢b1{a}_ ...
Huang Xiaohuang +2 more
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Entire Functions with Asymptotic Functions.
MATHEMATICA SCANDINAVICA, 1995 Let \(A\) be the class of plane curves \(z = z(t)\) without self-intersections such that \(z(0)= 0\), \(\lim_{t \to \infty} z(t) = \infty\), for any \(T \in (0, \infty)\) the curve \(z = z(t)\), \(t \in [0,T]\) be a union of a finite number of line segments.
Hinkkanen, A., Rossi, John
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The Hole Probability for Gaussian Entire Functions [PDF]
, 2010 We study the hole probability of Gaussian random entire functions. More specifically, we work with entire functions in Taylor series form with i.i.d complex Gaussian coefficients. A hole is the event where the function has no zeros in a disc of radius r.
Nishry, Alon
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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A note on a functional inequality
International Journal of Mathematics and Mathematical Sciences, 1992 We prove: If r1,…,rk are (fixed) positive real numbers with ∏j=1krj>1, then the only entire solutions φ:ℂ→ℂ of the functional inequality∏j=1k|φ(rjz)|≥(∏j=1krj)|φ(z)|kare φ(z)=czn, where c is a complex number and n is a positive integer.
Horst Alzer
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About the defects of curves holomorphic in the half plane
International Journal of Mathematics and Mathematical Sciences, 1985 A study is made on the defects of curves holomorphic in the half plane. Several results are proved.
Moqbul Hossain
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Note on the zeros of functions with univalent derivatives
International Journal of Mathematics and Mathematical Sciences, 1986 Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
Mohammad Salmassi
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Entire slice regular functions
, 2016 Entire functions in one complex variable are extremely relevant in several areas ranging from the study of convolution equations to special functions. An analog of entire functions in the quaternionic setting can be defined in the slice regular setting ...
Colombo, Fabrizio +2 more
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Closure theorems with applications to entire functions with gaps [PDF]
, 1971 In this paper we consider questions of completeness for spaces of continuous functions on a half line which satisfy appropriate growth conditions. The results obtained have consequences in the theory of entire functions with gap power series.
Anderson, J.M., Binmore, K.G.
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