Results 11 to 20 of about 5,061,991 (285)
Fractal and Fractional, 2023 The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Andriy Bandura +2 more
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No Entire Inner Functions [PDF]
Analysis Mathematica, 2020 6 pages, doubling condition ...
Cobos, A., Seco Forsnacke, Daniel
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ON FINDING THE RESULTANT OF TWO ENTIRE FUNCTIONS
Проблемы анализа, 2020 Using Newton’s recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeros.
A. M. Kytmanov, E. K. Myshkina
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Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight
Cubo, 2022 In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight.
Goutam Haldar
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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Baker's conjecture for functions with real zeros [PDF]
, 2018 Baker's conjecture states that a transcendental entire functions of order less than 1/2 has no unbounded Fatou components. It is known that, for such functions, there are no unbounded periodic Fatou components and so it remains to show that they can also
Ahlfors +26 more
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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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Connectedness properties of the set where the iterates of an entire function are bounded [PDF]
, 2012 We investigate some connectedness properties of the set of points K(f) where the iterates of an entire function f are bounded. In particular, we describe a class of transcendental entire functions for which an analogue of the Branner-Hubbard conjecture ...
Baker +8 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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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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