Results 21 to 30 of about 53 (53)

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

The initial-value problem for a Gardner-type equation

Advanced Nonlinear Studies
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry, Chen Hongqiu, Guerrero Pamela, Haidau Cristina, Pantic Sanja   +4 more
doaj   +1 more source

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

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

Improved versions of certain Bernstein and Turán-type inequalities on polynomials

Open Mathematics
In this paper, we establish some new results on Bernstein and Turán-type inequalities for polynomials on the unit circle on the complex plane by using an improved Schwarz Lemma at the boundary recently proved by Mercer.
Laishangbam Raju, Soraisam Robinson, Chanam Barchand   +2 more
doaj   +1 more source

Mittag-Leffler type functions: notes on growth properties and distribution of zeros

, 1997
Integral representations, asymptotic behaviour and distribution of zeros for classical Mittag-Leffler functions as well as for the functions of Mittag-Leffler type are discussed. They are obtained by different approaches. Special attention is paid to the
S. Rogosin, R. Gorenflo, Yu. Luchko
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

A note on Erdös-Lax type inequalities for polynomials

, 2023
Ishfaq Nazir, Irfan Ahmad Wani, Mohammad Ibrahim Mir   +2 more
core   +1 more source

The growth and approximation for an analytic function represented by Laplace-Stieltjes transforms with generalized order converging in the half plane. [PDF]

J Inequal Appl, 2018
Xu HY, Wang H.
europepmc   +1 more source