Results 51 to 60 of about 10,519,387 (260)
The growth of entire functions in the terms of generalized orders
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
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On the Hausdorff dimension of the Julia set of a regularly growing entire function
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
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Dynamics of Mandelbrot set with Transcendental Function
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]
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?
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
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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
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The Revolution of The Transcendence
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
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Irrational behavior of algebraic discrete valuations
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.
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On the Newton’s method for transcendental functions
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.
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On the Zeros of the Differential Polynomial φ(z)f2(z)f′(z)2 − 1
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
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