Using differential subordination, we consider conditions of β so that some multivalent analytic functions are subordinate to (1+z)γ (0<γ≤1). Notably, these results applied derive sufficient for f∈A satisfy the condition zf′(z)f(z)2−1<1. Several previous extended.

The Front Cover shows the Multivalent Antibody-Recruiting Glycopolymers (MARGs) prepared by grafting multiple copies of dinitrophenol (DNP, pink) onto hyaluronan acid polymers (HA, cyan) for cancer immunotherapy. MARGs are able to recognize CD44 marker on cell surface and concomitantly recruit endogenous anti-DNP antibodies kill cells through immune effector functions in vitro vivo. designed co...

In this paper, we familiarize a class of multivalent functions with respect to symmetric points related the differential operator and discuss impact Janowski on conic regions. Inclusion results, subordination property, coefficient inequalities are obtained. Further, applications our results that extensions those given in earlier works presented as corollaries.

We define a new class of multivalent meromorphic functions using the generalised hypergeometric function. We derived this class related to conic domain. It is also shown that this new class of functions, under certain conditions, becomes a class of starlike functions. Some results on inclusion and closure properties are also derived.

Glycosaminoglycans are sulfated polysaccharides that play important roles in fundamental biological processes, such as cell division, viral invasion, cancer and neuroregeneration. The multivalent presentation of multiple glycosaminoglycan chains on proteoglycan scaffolds may profoundly influence their interactions with proteins and subsequent biological activity. However, the importance of this...