Results 51 to 60 of about 2,953 (263)
Extension of Nunokawa Lemma for Functions with Fixed Second Coefficient and Its Applications
In this paper, we study some properties of analytic functions with fixed initial coefficients. The methodology of differential subordination is used for modification and improvements of several well-known results for subclasses of univalent functions by ...
Mostafa Amani +2 more
doaj +1 more source
In this Perspective, we highlight the processing science and scale‐up capabilities of the Materials Engineering Research Facility (MERF) at the U.S. Department of Energy's Argonne National Laboratory, with an emphasis on practical solutions for sustainable water and critical resource recovery. We demonstrate how national laboratories bridge fundamental
Yuepeng Zhang +9 more
wiley +1 more source
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi +4 more
doaj +1 more source
On Convex Univalent Functions with Convex Univalent Derivatives
The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
openaire +3 more sources
We report a multi‐jet, layer‐by‐layer electrospray‐assisted interfacial polymerization (LBL‐EAIP) approach for the scalable fabrication of polyamide reverse osmosis (RO) membranes. The method enables precise control of polymerization, uniform polyamide coverage, and tunable polyamide film thickness, while delivering consistently high filtration ...
Yue Feng +5 more
wiley +1 more source
Univalent harmonic functions defined by Salagean integral operator with respect to symmetric points
In this paper, we define and investigate a subclass of univalent harmonic functions defined by Salagean integral operator with respect to symmetric points.
Sheza El-Deeb +3 more
doaj
Applications of q-Bessel-Struve Functions on Univalent Functions
In this paper, the authors derived some new sufficient conditions for q-close-to-convexity with respect to certain functions involving three different normalizations of q-Bessel–Struve functions.
Saddaf Noreen +5 more
doaj +1 more source
Initial Coefficients of Biunivalent Functions
An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some ...
See Keong Lee +2 more
doaj +1 more source
Univalent functions and nonanalytic curves [PDF]
The two examples z+ (1 +e)z2/2 and z+(1 +e)z2/4 with e>0, show that the right sides of (2) and (3) cannot be increased without destroying respectively the starlikeness and convexity of the image regions. This theorem was first discovered by Alexander [I], but according to Remak [6], Alexander's proof contains an error.
openaire +2 more sources
Lead‐free bismuth halide perovskite memristors exhibit stable low‐voltage resistive switching behavior. The conductance‐activated quasi‐linear memristor model quantitatively reproduces the experimental hysteresis, confirming ion migration‐driven filament dynamics.
So‐Yeon Kim +4 more
wiley +1 more source

