Sharp Coefficient Bounds for Certain p-Valent Functions
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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
Subclasses of p-Valent Functions Associated with Linear q-Differential Borel Operator
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DOI: 10.3390/math11071742
Abstract: The aim of the present paper is to introduce and study some new subclasses of p-valent functions by making use of a linear q-differential Borel operator.We also deduce some properties, such as inclusion relationships of… read more here.
Keywords: operator; subclasses valent; valent functions; borel operator ... See more keywords