Sharp Coefficient Bounds for Certain p-Valent Functions
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0587-4
Abstract: The main aim of this manuscript is to investigate sharp bound on the functional $$|a_{p+1}a_{p+2}-a_{p+3}|$$|ap+1ap+2-ap+3| for functions $$f(z)=z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+a_{p+3}z^{p+3}+\cdots $$f(z)=zp+ap+1zp+1+ap+2zp+2+ap+3zp+3+⋯ belonging to the class $$\mathcal {R}_p(\alpha )$$Rp(α) associated with the right half-plane. Also sharp bounds on… read more here.
Keywords: certain valent; coefficient bounds; sharp coefficient; bounds certain ... See more keywords
Sharp Coefficient Estimates for Analytic Functions Associated with Lemniscate of Bernoulli
Sign Up to like & getrecommendations! Published in 2024 at "Mathematics"
DOI: 10.3390/math12152309
Abstract: The main purpose of this work is to study the third Hankel determinant for classes of Bernoulli lemniscate-related functions by introducing new subclasses of star-like functions represented by SLλ* and RLλ. In many geometric and… read more here.
Keywords: sharp bounds; coefficient estimates; functions associated; analytic functions ... See more keywords
Sharp Coefficient Bounds for Analytic Functions Related to Bounded Turning Functions
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13111845
Abstract: Let B denote the class of bounded turning functions F analytic in the open unit disk, where the image of F′(z) is contained in the domain Ω(z)=coshz+2z2−z2. This article determines sharp coefficient bounds, a Fekete–Szegö-type… read more here.
Keywords: analytic functions; bounded turning; sharp coefficient; coefficient bounds ... See more keywords
Sharp Coefficient Bounds for a Class of Analytic Functions Related to Exponential Function
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13233878
Abstract: In this paper, we introduce a new class of analytic functions, denoted by S(ν,φϑ,e), and provide illustrative examples to elucidate its properties. This class generalizes the starlike and convex functions previously defined by Khatter et… read more here.
Keywords: exponential function; class; analytic functions; sharp coefficient ... See more keywords