Results 31 to 40 of about 344 (61)

Approximation by proper holomorphic maps and tropical power series

, 2017
Let $w$ be an unbounded radial weight on the complex plane. We study the following approximation problem: find a proper holomorphic map $f: \mathbb{C}\to\mathbb{C}^n$ such that $|f|$ is equivalent to $w$.
Abakumov, Evgeny, Doubtsov, Evgueni
core   +2 more sources

Integral mean estimates of Turán-type inequalities for the polar derivative of a polynomial with restricted zeros

Open Mathematics
In this article, we extend inequalities concerning the polar derivative of a polynomial to integral mean for the class of polynomials with s-fold zero at the origin and the remaining zeros inside some closed disk of radius kk for k≥1k\ge 1 and k≤1k\le 1,
Singha Nirmal Kumar, Chanam Barchand
doaj   +1 more source

Asymptotic expansions relating to the distribution of the length of longest increasing subsequences

Forum of Mathematics, Sigma
We study the distribution of the length of longest increasing subsequences in random permutations of n integers as n grows large and establish an asymptotic expansion in powers of $n^{-1/3}$ .
Folkmar Bornemann
doaj   +1 more source

Zeros of Bessel function derivatives

, 2016
We prove that for $\nu>n-1$ all zeros of the $n$th derivative of Bessel function of the first kind $J_{\nu}$ are real and simple. Moreover, we show that the positive zeros of the $n$th and $(n+1)$th derivative of Bessel function of the first kind $J_{\nu}
Baricz, Árpád, Kokologiannaki, Chrysi G., Pogány, Tibor K.   +2 more
core   +1 more source

Refinements of inequalities on extremal problems of polynomials

Open Mathematics
Let H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni, Singh Thangjam Birkramjit, Chanam Barchand   +2 more
doaj   +1 more source

Polynomial estimates, exponential curves and Diophantine approximation

, 2010
Let $\alpha\in(0,1)\setminus{\Bbb Q}$ and $K=\{(e^z,e^{\alpha z}):\,|z|\leq1\}\subset{\Bbb C}^2$. If $P$ is a polynomial of degree $n$ in ${\Bbb C}^2$, normalized by $\|P\|_K=1$, we obtain sharp estimates for $\|P\|_{\Delta^2}$ in terms of $n$, where ...
Coman, Dan, Poletsky, Evgeny A.
core   +1 more source

Some Coefficient Estimates for Polynomials on the Unit Interval [PDF]

, 2007
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C.
Qazi, M. A., Rahman, Q. I.
core  

Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems [PDF]

, 2010
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and ...
Paneva-Konovska, Jordanka
core  

Dynamics of Rayleigh Fission Processes in ∼100 nm Charged Aqueous Nanodrops. [PDF]

ACS Cent Sci, 2023
Hanozin E, Harper CC, McPartlan MS, Williams ER.   +3 more
europepmc   +1 more source

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source