Results 11 to 20 of about 4,347 (105)
Starlikeness for functions of a hypercomplex variable [PDF]
Proceedings of the American Mathematical Society, 2016 In this paper we introduce new notions of starlikeness for a class of functions of a hypercomplex variable. We then obtain equivalent formulations for starlikeness which resemble the analogous ones in the holomorphic case such as Nevanlinna’s criterion.
Gori, Anna, VLACCI, FABIO
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Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [PDF]
, 2011 Estimates on the initial coefficients are obtained for normalized analytic functions $f$ in the open unit disk with $f$ and its inverse $g=f^{-1}$ satisfying the conditions that $zf'(z)/f(z)$ and $zg'(z)/g(z)$ are both subordinate to a starlike univalent
Ali +14 more
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A discontinuity in the low-mass initial mass function [PDF]
, 2007 The origin of brown dwarfs (BDs) is still an unsolved mystery. While the standard model describes the formation of BDs and stars in a similar way recent data on the multiplicity properties of stars and BDs show them to have different binary distribution ...
Bate M. R. +9 more
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On the coefficients of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1972 Every probability measure μ \mu on the circle group generates a function f that is starlike univalent on the open unit disc Δ \Delta . In this note the relationship between ( c n ) ({c_n}) , the Fourier-Stieltjes coefficients of
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A first-order differential double subordination with applications [PDF]
, 2011 Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double subordination chain $q_1(z)
Ali +20 more
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Universally starlike and Pick functions [PDF]
Journal d'Analyse Mathématique, 2020 Denote by $\mathcal{P}_{\log}$ the set of all non-constant Pick functions $f$ whose logarithmic derivatives $f^{\, \prime}/f$ also belong to the Pick class. Let $\mathcal{U}( )$ be the family of functions $z\cdot f(z)$, where $f \in\mathcal{P}_{\log}$ and $f$ is holomorphic on $ :=\mathbb{C}\setminus [1, +\infty)$. Important examples of functions in $
Luis Salinas +2 more
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Bounds for the Second Hankel Determinant of Certain Univalent Functions
, 2013 The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See +2 more
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The coefficients of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1969 disc. The proof of the local maximum theory for the coefficients of univalent functions by Bombieri [2] and by Garabedian and Schiffer [3] gives strength to the conjecture that these dn exist, but no estimate of their size is available from these papers.
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Starlikeness of a product of starlike functions with non-vanishing polynomials
Analysis and Mathematical Physics, 2023 For a function $f$ starlike of order $\alpha$, $0\leqslant \alpha <1$, a non-constant polynomial $Q$ of degree $n$ which is non-vanishing in the unit disc $\mathbb{D}$ and $\beta>0$, we consider the function $F:\mathbb{D}\to\mathbb{C}$ defined by $F(z)=f(z) (Q(z))^{\beta /n}$ and find the largest value of $r\in (0,1]$ such that $r^{-1} F(rz ...
Somya Malik, V. Ravichandran
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Geometric properties of the shifted hypergeometric functions
, 2017 We will provide sufficient conditions for the shifted hypergeometric function $z_2F_1(a,b;c;z)$ to be a member of a specific subclass of starlike functions in terms of the complex parameters $a,b$ and $c.$ For example, we study starlikeness of order ...
Sugawa, Toshiyuki, Wang, Li-Mei
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