Results 51 to 60 of about 10,519,387 (260)

The growth of entire functions in the terms of generalized orders

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
Let $\Phi$ be a convex function on $[x_0,+\infty)$ such that$\frac{\Phi(x)}x\to+\infty$, $x\to+\infty$, $f(z)=\sum_{n=0}^\infty a_nz^n$ — a transcendental entire function, let $M(r,f)$ be the maximum modulus of $f$ and let$$\rho_\Phi(f)=\limsup_{r\to ...
T. Ya. Hlova, P. V. Filevych
doaj   +1 more source

On the Hausdorff dimension of the Julia set of a regularly growing entire function

open access: yes, 2009
We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.Comment: 21 ...
Barański   +4 more
core   +2 more sources

Dynamics of Mandelbrot set with Transcendental Function

open access: yes, 2012
These days Mandelbrot set with transcendental function is an interesting area for mathematicians. New equations have been created for Mandelbrot set using trigonometric, logarithmic and exponential functions.
Shafali Agarwal   +2 more
semanticscholar   +1 more source

An algorithm for the zeros of transcendental functions [PDF]

open access: yesNumerische Mathematik, 1979
In this paper, we extend the dual form of the generalized algorithm of Sebastiao e Silva [3] for polynomial zeros and show that it is effective for finding zeros of transcendental functions in a circle of analyticity.
openaire   +4 more sources

Transcendental and Normative Critique: Convergence or Opposition?

open access: yesФілософія освіти
The article analyzes the phenomenon of transcendental critique in relation to normative critique. The author, initially distinguishing between transcendental and normative critical discourses as distinct and, in certain respects, oppositional ...
Анна Ільїна
doaj   +1 more source

A note on Mues' conjecture

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We prove that Mues' conjecture holds for the second- and higher-order derivatives of a square and higher power of any transcendental meromorphic function.
Indrajit Lahiri
doaj   +1 more source

The Revolution of The Transcendence

open access: yesKanz Philosophia: A Journal for Islamic Philosophy and Mysticism, 2011
Contrary to the general and common idea that Islam etymologically means submission, surrendering, servitude or even slavery, this paper tries to prove just the opposite, that Islam is a protest, an opposition and a revolution.
Hassan Hanafi
doaj   +1 more source

Irrational behavior of algebraic discrete valuations

open access: yes, 2014
We study algebraic discrete valuations dominating normal local domains of dimension two. We construct a family of examples to show that the Hilbert-Samuel function of the associated graded ring of the valuation can fail to be asymptotically of the form ...
Sanyal, Soumya D.
core   +1 more source

On the Newton’s method for transcendental functions

open access: yesKyoto Journal of Mathematics, 2001
For an entire function \(f\) the Newton method consists of iterating the function \(N_f(z)=z-f(z)/f'(z)\). This paper is concerned with Newton's method for functions of the form \(f(z)=p(z)e^{q(z)}+az+b\), where \(p\) and \(q\) are polynomials and \(a\) and \(b\) are constants.
openaire   +4 more sources

On the Zeros of the Differential Polynomial φ(z)f2(z)f′(z)2 − 1

open access: yesMathematics, 2019
In this study, the value distribution of the differential polynomial φ f 2 f ′ 2 − 1 is considered, where f is a transcendental meromorphic function, φ ( ≢ 0 ) is a small function of f by the reduced counting ...
Junfeng Xu, Shuichao Ye
doaj   +1 more source

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