Results 11 to 20 of about 202 (31)
Hyperbolic entire functions and the Eremenko–Lyubich class: Class B or not class B? [PDF]
, 2016 Hyperbolicity plays an important role in the study of dynamical systems, and is a key concept in the iteration of rational functions of one complex variable.
A Badeńska +17 more
core +2 more sources
Pairs of paths and critical points
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 189-192, 2001., 2001 Two sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f′(z0) = 0.
Florin Caragiu, Ioana Caragiu
wiley +1 more source
Infinite growth of solutions of second order complex differential equation
Open Mathematics, 2018 In this paper we study the growth of solutions of second order differential equation f′′ + A(z)f′ + B(z)f = 0. Under certain hypotheses, the non-trivial solution of this equation is of infinite order.
Zhang Guowei
doaj +1 more source
Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures [PDF]
, 2011 We consider analytic continuations of Fourier transforms and Stieltjes transforms. This enables us to define what we call complex moments for some class of probability measures which do not have moments in the usual sense.
Hasebe, Takahiro
core +2 more sources
The Paley‐Wiener‐Levinson theorem revisited
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 229-234, 1997., 1995 In this paper a new proof of the Paley‐Wiener‐Levinson theorem is presented. This proof is based upon the isometry between the Paley‐Wiener space and that of the square‐integrable functions in [−π, π], on one hand, and a Titchmarsh′s theorem which allows recovering bandlimited, entire functions from their zeros, on the other hand.
A. G. García
wiley +1 more source
A theorem of differential mappings of Riemann surfaces
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 189-192, 1994., 1992 In this paper, we have extended S.S. Chern′s second basic theorem about holomorphic mapping between two Riemann surfaces to more general case, and also obtained two similar results.
Peichu Hu, Mingze Yang
wiley +1 more source
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
core +3 more sources
An estimate of the lower bound of the real parts of the zeros of the partial sums of the Riemann zeta function [PDF]
, 2015 Let View the MathML source ζn(z):=∑k=1n1kz, z=x+iy, be the n th partial sum of the Riemann zeta function and aζn(z):=inf{ℜz:ζn(z)=0}. In this paper we prove that View the MathML source aζn(z)=−log2log(n−1n−2)+Δn, n>2, with limsupn→∞ |Δn|≤log ...
Mora, Gaspar
core +2 more sources
Entropy of Transcendental entire functions
, 2019 We prove that all entire transcendental entire functions have infinite topological entropy.Comment: 13 ...
Benini, Anna Miriam +2 more
core +1 more source
On the existence of exponential polynomials with prefixed gaps [PDF]
, 2013 This paper shows that the conjecture of Lapidus and Van Frankenhuysen on the set of dimensions of fractality associated with a nonlattice fractal string is true in the important special case of a generic nonlattice self-similar string, but in general is ...
Mora, Gaspar +2 more
core +2 more sources