Results 21 to 30 of about 18,386,226 (307)
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 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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Relative Growth of Series in Systems of Functions and Laplace—Stieltjes-Type Integrals
Axioms, 2021 For a regularly converging-in-C series A(z)=∑n=1∞anf(λnz), where f is an entire transcendental function, the asymptotic behavior of the function Mf−1(MA(r)), where Mf(r)=max{|f(z)|:|z|=r}, is investigated.
Myroslav Sheremeta
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Baker domains for Newton's method [PDF]
, 2006 We show that there exists an entire function without finite asymptotic values for which the associated Newton function tends to infinity in some invariant domain.
Bergweiler, Walter +2 more
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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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ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR
Проблемы анализа, 2018 We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
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Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]
, 2015 We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O. +2 more
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Axioms, 2021 A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
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A property of the derivative of an entire function [PDF]
, 2011 We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set. MSC 2010: 30D30. Keywords: entire function, normal family.
Walter Bergweiler, A. Eremenko
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Composition of entire and analytic functions in the unit ball
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
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