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
Coefficient bounds for q-close-to-convex functions associated with vertical strip domain
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DOI: 10.2298/fil2417003b
Abstract: Let A denote the class of functions ? which are analytic in the open unit disk U and given by ?(z)=z+??,n=2 anzn(z ? U). In a very recent paper, Alqahtani et al. [AIMS Mathematics 8… read more here.
Keywords: convex functions; close convex; coefficient bounds; bounds close ... See more keywords
Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions
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DOI: 10.3390/axioms12040317
Abstract: We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions. Furthermore, we define the… read more here.
Keywords: univalent functions; family fold; bounds family; coefficient bounds ... See more keywords
Sharp Coefficient Bounds for Analytic Functions Related to Bounded Turning Functions
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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
Coefficient Bounds for Symmetric Subclasses of q-Convolution-Related Analytical Functions
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DOI: 10.3390/sym15061133
Abstract: By using q-convolution, we determine the coefficient bounds for certain symmetric subclasses of analytic functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler-type differential equation of order m. read more here.
Keywords: coefficient bounds; convolution related; bounds symmetric; symmetric subclasses ... See more keywords