Results 21 to 30 of about 364 (83)
Yet another characterization of the sine function
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 371-381, 1981., 1981 In this expository paper, it is shown that if an entire function of exponential type vanishes at least once in the complex plane and if it has exactly the same number of zeros (counting multiplicities) as its second derivative, then this function must take the form Asin(Bz + C).
Robert Gervais, Lee A. Rubel
wiley +1 more source
Obtaining algebrability in subsets of real functions
, 2020 In this note, we provide a fairly simple technique to obtain algebrability within the framework of real-valued functions of one single variable. This allows us to recover old algebrability results by means of this technique (as well as obtaining new ones)
J. Fernández-Sánchez +3 more
semanticscholar +1 more source
Bounded index, entire solutions of ordinary differential equations and summability methods
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 417-434, 1981., 1981 A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
G. H. Fricke, Ranjan Roy, S. M. Shah
wiley +1 more source
The Young type theorem in weighted Fock spaces
, 2017 We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight.
Baranov, Anton +2 more
core +3 more sources
Small entire functions with extremely fast growth [PDF]
, 1997 We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions such that limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip for every f ∈ M and for every ...
Bernal González, Luis
core
On the maximum modulus of a polynomial and its polar derivative
, 2011 For a polynomial p(z) of degree n, having all zeros in |z| ≤ 1, Jain is shown that max|z|=1|Dαt⋯Dα2Dα1p(z)|≥n(n−1)⋯(n−t+1)2t×[{(|α1|−1)⋯(|αt|−1)}max|z|=1|p(z)|+{2t(|α1|⋯|αt|)−{(|α1|−1)⋯(|αt|−1)}}min|z|=1|p(z)|],|α1|≥1,|α2|≥1,⋯|αt|≥1 ...
A. Zireh
semanticscholar +1 more source
Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
wiley +1 more source
Veterinary Dermatology, Volume 35, Issue 4, Page 375-385, August 2024.Background – Perianal fistulas are painful ulcers or sinus tracts that disproportionately affect German shepherd dogs and are proposed as a spontaneous animal model of fistulising Crohn's disease. Objectives – To characterise the rectal and cutaneous microbiota in German shepherd dogs with perianal fistulas and to investigate longitudinal shifts with ...
Christine L. Cain +6 more
wiley +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
The initial-value problem for a Gardner-type equation
Advanced Nonlinear StudiesDiscussed 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 +4 more
doaj +1 more source