Results 31 to 40 of about 2,746,619 (87)
On Littlewood's Constants [PDF]
, 2017 In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most ·nα, and (ii) the extremal growth rate rβ of the length of Green's ...
Beliaev, D., Smirnov, S.
core
Coefficients of univalent harmonic mappings
, 2017 Let $\mathcal{S}_H^0$ denote the class of all functions $f(z)=h(z)+\overline{g(z)}=z+\sum^\infty_{n=2} a_nz^n +\overline{\sum^\infty_{n=2} b_nz^n}$ that are sense-preserving, harmonic and univalent in the open unit disk $|z|
Kaliraj, Anbareeswaran Sairam +2 more
core +1 more source
Estimates for Coefficients of Certain Analytic Functions
, 2017 For $ -1 \leq B \leq 1$ and $A>B$, let $\mathcal{S}^*[A,B]$ denote the class of generalized Janowski starlike functions consisting of all normalized analytic functions $f$ defined by the subordination $z f'(z)/f(z) \prec (1+ A z)/(1+ B z)$ $(|z|1)$ and ...
Ravichandran, V., Verma, Shelly
core +1 more source
Univalent functions and integrable systems
, 2004 We study one-parameter expanding evolution families of simply connected domains in the complex plane described by infinite systems of evolution parameters.
Prokhorov, Dmitri, Vasil'ev, Alexander
core +3 more sources
Response of Plant Secondary Metabolites to Environmental Factors
Molecules, 2018 Plant secondary metabolites (SMs) are not only a useful array of natural products but also an important part of plant defense system against pathogenic attacks and environmental stresses.
Li Yang +5 more
semanticscholar +1 more source
Coefficient bounds for q-convex functions related to q-Bernoulli numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe main objective of this paper is to present and investigate a subclass 𝒞(b, q) of q-convex functions in the unit disk that is defined by the q-Bernoulli numbers.
Breaz Daniel +3 more
doaj +1 more source
NEW CRITERIA FOR STARLIKENESS IN THE UNIT DISC [PDF]
It is well-known that the condition $\real \left[1+\frac{zf''(z)}{f'(z)}\right]>0$, $z\in {\mathbb D}$, implies that $f$ is starlike function (i.e. convexity implies starlikeness).
Obradović, Milutin, Tuneski, Nikola
core +1 more source
On the derivatives of a family of analytic functions [PDF]
, 2003 For $\beta< 1$, n = 0, 1, 2, . . ., and $-\pi
Al-Khal, R. A., Al-Kharsani, H. A.
core +1 more source
A subclass of strongly close-to-convex functions associated with Janowski function [PDF]
The aim of this paper is to introduce a new subclass of strongly close-to-convex functions by subordinating to Janowski function. Certain properties such as coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of ...
Singh, Gagandeep, Singh, Gurcharanjit
core +1 more source
Nucleic Acids Res., 2018 Circular dichroism (CD) spectroscopy is a widely used method to study the protein secondary structure. However, for decades, the general opinion was that the correct estimation of β-sheet content is challenging because of the large spectral and ...
András Micsonai +8 more
semanticscholar +1 more source