The main aim of this paper is to use the method of differential subordination to obtain a number of sufficient conditions for a normalized analytic function to be univalent or starlike in the unit disc. In particular, we find a condition on β so that each normalized analytic function f satisfying the condition ∣∣∣1 + zf ′′(z) 2f ′(z) − zf ′(z) f(z) ∣∣∣ < β, z ∈ Δ implies that f is univalent or ...

This note is a sequel to the paper On rings on rings by Anatole Beck [ l ] . The problem we consider (originally proposed by Paul Rosenbloom) is that of characterizing the parameter p for the annulus Q = {1< | s| <p} in terms of the ring R of bounded analytic functions nn this annulus. Beck's solution involves properties of univalent functions, and although the subset of univalent functions in ...

The univalent hapten, nonadeca lysyl epsilon-Dnp-lysine, binds tightly to rabbit anti-2,4-dinitrophenyl antibody, and the complex has a sedimentation coefficient of 6.7, characteristic of a single antibody molecule. In this communication, we show that this complex is a good activator of the serum complement system. For activation to occur, the univalent hapten must contain the specific group wh...

Spinach chloroplasts induced the photoreduction of cytochrome c and photooxidation of epinephrine, both of which depended on oxygen and were inhibited by superoxide dismutase. This confirmed the univalent reduction of molecular oxygen in illuminated chloroplasts. In the presence of cytochrome c, hydrogen peroxide formation by chloroplasts was inhibited completely. Rates for the photoreduction o...

Let A denote the family of all analytic functions f in the unit disk D with the normalization f (0) = 0 = f ′(0)− 1. Define S = { f ∈ A : f is univalent in D}, U = { f ∈A : ∣∣ f ′(z)(z/ f (z))2−1∣∣< 1 for z ∈ D}, and P(1/2) = { f ∈A : Re( f (z)/z) > 1/2 for z ∈ D}. In this paper, we determine the radius of univalency of F(z) = z f (z)/g(z) whenever f ∈S or U , and g ∈S or P(1/2). Based on our i...

ADVERTISEMENT RETURN TO ISSUEEditorialNEXTA Year Like No OtherWilliam B. TolmanWilliam TolmanMore by William Tolmanhttp://orcid.org/0000-0002-2243-6409Cite this: Inorg. Chem. 2021, 60, 1, 1–3Publication Date (Web):January 4, 2021Publication History Published online4 January 2021Published inissue 4 2021https://doi.org/10.1021/acs.inorgchem.0c03477Copyright © 2021 American Chemical SocietyRIGHTS ...