Results 101 to 110 of about 10,555,595 (364)
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.
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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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
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
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On the Existence of Functions being Univalent in Half-plane together with their Derivatives
In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type.
J. Kirjackis
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Univalence of Bessel functions [PDF]
In particular we shall first determine a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} >0, I arg v|
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Very small cellular compartments can break electroneutrality and harness proton gradients without active transport structures, whereas larger volumes cannot, underscoring why life's critical energy processes are confined in microscopic spaces. ABSTRACT The effect of pH changes in external ionic solutions on liposomes entrapping non‐permeable weak acid ...
Josep M. Ribó +4 more
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New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers
Lewin discussed the class of bi-univalent functions and obtained the bound for the second coefficient, Sakar and Wanas defined two new subclasses of bi-univalent functions and obtained upper bounds for the elementary coefficients |a2| and |a3| for ...
Majd Ayash +3 more
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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
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Conductive silk‐polypyrrole scaffolds couple redox stability with cell‐affinitive peptides present innately in an endogenous silk fibroin, enabling optimized electrical stimulation to drive neurite outgrowth. Findings establish electrochemical‐biological link for biomaterial design rules for smart nerve guidance conduits that can provide low voltage ...
Rajiv Borah +5 more
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