Results 21 to 30 of about 51 (51)

Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions [PDF]

open access: yes, 2012
MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and
Paneva-Konovska, Jordanka
core  

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

open access: yesOpen 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

open access: yesForum 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

Refinements of inequalities on extremal problems of polynomials

open access: yesOpen 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   +2 more
doaj   +1 more source

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

open access: yes, 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]

open access: yesACS Cent Sci, 2023
Hanozin E   +3 more
europepmc   +1 more source

Ultradifferentiable classes of entire functions. [PDF]

open access: yesAdv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

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