Results 31 to 40 of about 29,895 (257)
Demonstratio Mathematica, 2002 Let \(A\) denote the class of all analytic functions \(f(z)\) defined in the open unit disc of the complex plane and normalized by \(f(0)= 0\), \(f'(0)= 1\). Let \(S\) denote the subclass of \(A\) consisting of univalent functions. In this paper the authors prove that if \(f\in A\) with \[ \text{Re}\Biggl\{e^{i\theta} {zf''(z)\over f'(z)}\Biggr\}\leq{1\
Blezu, Dorin, Pascu, Nicolae N.
openaire +1 more source
Schwarzian Derivatives and Uniform Local Univalence
, 2007 Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic
Chuaqui, Martin +2 more
core +2 more sources
New Subclass of Convex Functions Concerning Infinite Cone [PDF]
Sahand Communications in Mathematical AnalysisWe introduce a new subclass of convex functions as follows:\[ \mathcal{K}_{IC}:=\left\{f\in \mathcal{A}:{\rm Re}\left(1+\frac{zf''(z)}{f'(z)}\right)>\left|f'(z)-1\right|,\quad |z|
Fatolah Hasanvand +2 more
doaj +1 more source
Michigan Mathematical Journal, 1985 Let f be meromorphic and locally univalent in the upper half plane U with Schwarzian derivative S(f,z). Suppose that \(| 2(Im z)S(f,z)-c(c- 1)| \leq k| c|\) for all \(z\in U\).
Anderson, J. M., Hinkkanen, A.
openaire +3 more sources
FEBS Open Bio, EarlyView.Tandem VHH targeting distinct EGFR epitopes were engineered into a monovalent bispecific antibody (7D12‐EGA1‐Fc) with more potent ADCC without increasing affinity to EGFR. Structural modeling of 7D12‐EGA1‐Fc showed cross‐linking of separate EGFR domains to enhance CD16a engagement on NK cells.
Yuqiang Xu +5 more
wiley +1 more source
Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings [PDF]
, 2013 In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss the coefficient estimates and Landau's Theorem for some classes of locally univalent harmonic mappings, and then we study some ...
Chen, Shaolin +2 more
core
Properties of Functions Involving Struve Function
Mathematics, 2018 Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with
Jonathan Aaron Azlan Mosiun +1 more
doaj +1 more source
Advanced Functional Materials, EarlyView.A multivalent antiviral platform based on honeycomb‐shaped DNA nanostructures (HC–Urumin) is developed to enhance the potency and breadth of the host defense peptide Urumin. Through spatially patterned trimeric presentation, HC–Urumin disrupts influenza A virus entry, improves cell viability, and reduces disease severity in vivo‐offering a modular and ...
Saurabh Umrao +11 more
wiley +1 more source
Concave univalent functions and Dirichlet finite integral
, 2016 The article deals with the class ${\mathcal F}_{\alpha }$ consisting of non-vanishing functions $f$ that are analytic and univalent in $\ID$ such that the complement $\IC\backslash f(\ID) $ is a convex set, $f(1)=\infty ,$ $f(0)=1$ and the angle at ...
Muhanna, Y. Abu, Ponnusamy, S.
core +1 more source
On a New Class of Concave Bi-Univalent Functions Associated with Bounded Boundary Rotation
MathematicsIn this research article, we introduce a new subclass of concave bi-univalent functions associated with bounded boundary rotation defined on an open unit disk. For this new class, we make an attempt to find the first two initial coefficient bounds.
Prathviraj Sharma +3 more
doaj +1 more source