Results 11 to 20 of about 69 (69)
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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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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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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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri +2 more
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On a Coefficient Inequality for Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1975 M. S. Robertson considered a coefficient inequality I I for starlike functions that, if true, would imply a generalized Bieberbach coefficient inequality B B for close to convex functions. An example is given of a starlike function whose coefficients do not satisfy coefficient inequality I I .
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Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
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On a Subfamily of Analytic Functions Associated With q‐Sălăgean Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we study a new subfamily of analytic functions associated with q‐Janowski function using q‐Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion results, and coefficient estimate bounds for Fekete–Szegö functional. Several consequences of main results
Ihtesham Gul +6 more
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Edge‐minimum saturated k‐planar drawings
Journal of Graph Theory, Volume 106, Issue 4, Page 741-762, August 2024.Abstract For a class D of drawings of loopless (multi‐)graphs in the plane, a drawing D ∈ D is saturated when the addition of any edge to D results in D ′ ∉ D—this is analogous to saturated graphs in a graph class as introduced by Turán and Erdős, Hajnal, and Moon.
Steven Chaplick +4 more
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