Results 31 to 40 of about 404 (62)
Hankel determinant for a class of analytic functions [PDF]
Let $f$ be analutic in the unit disk $\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper we give sharp bound of Hankel determinant of the second order for the class of analytic unctions satisfying \[ \left|\arg \left[\left ...
Obradovic, Milutin, Tuneski, Nikola
core +1 more source
Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
core +1 more source
Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou +4 more
wiley +1 more source
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
On polynomial expansion of multivalent functions
Coefficient bounds for mean p‐valent functions, whose expansion in an ellipse has a Jacobi polynomial series, are given in this paper.
M. M. Elhosh
wiley +1 more source
On the coefficient domains of univalent functions
Coefficient domains for functions whose derivative has positive real part in the interior of an ellipse are given in this paper.
M. M. Elhosh
wiley +1 more source
Hankel determinants for q-starlike functions connected with q-sine function
This article comprises the study of a new class of starlike functions, which is defined by qq-fractional operator and subordination to the qq-analog of sine function.
Taj Yusra +4 more
doaj +1 more source
Second Hankel determinant for a class of analytic functions defined by q-derivative operator
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
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Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions
Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel ...
Vijayalakshmi S.P. +3 more
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On harmonic Bloch-type mappings
Let $f$ be a complex-valued harmonic mapping defined in the unit disk $\mathbb D$. We introduce the following notion: we say that $f$ is a Bloch-type function if its Jacobian satisfies $$ \sup_{z\in\mathbb D}(1-|z|^2)\sqrt{|J_f(z)|}0$ and a univalent ...
Efraimidis, I. +3 more
core +1 more source

