Results 41 to 50 of about 1,039 (130)
Hyperbolically convex functions and the generalized Fekete–Szegö functional [PDF]
, 2011 We describe extremal functions for the generalized Fekete–Szegö functional |ta3+a22| over the class of hyperbolically convex functions. We apply the Julia variational formula to reduce the problem to mappings onto hyperbolic polygons having no more than ...
G. Brock Williams +5 more
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On a Subclass of Analytic Functions Related to a Hyperbola
International Journal of Mathematics and Mathematical Sciences, 2014 The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk.
Jagannath Patel, Ashok Kumar Sahoo
doaj +1 more source
Axioms, 2023 In mathematical analysis, the q-analogue of a function refers to a modified version of the function that is derived from q-series expansions. This paper is focused on the q-analogue of the exponential function and investigates a class of convex functions
Majid Khan +3 more
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(R1516) Results on Fekete-Szegö Problem for Some New Subclasses of Univalent Analytic Functions with Fractional-Order Operators [PDF]
, 2022 We introduce some new subclasses of analytic functions which are univalent in an open unit disk by means of fractional calculus. The elemental interest is to explore the significance of fractional-order operators while formulating a few distinct ...
Kumar, R., Singha, N.
core
Abstract and Applied Analysis, 2013 For , , , , and , a new class of analytic functions defined by means of the differential operator is introduced. Our main object is to provide sharp upper bounds for Fekete-Szegö problem in .
Halit Orhan +3 more
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The Fekete–Szegö problem for subclasses of analytic functions defined by a differential operator related to conic domains [PDF]
, 2010 By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized β-uniformly convex functions, denoted by β-SPλ,μn,α(γ), is introduced. For this class the Fekete–Szegö problem is completely solved.
Deniza, Erhan +3 more
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Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination
Axioms, 2021 In this paper, we defined a new class of λ-pseudo-Bazilevič functions of complex order using subordination. Various classes of analytic functions that map unit discs onto a conic domain and some classes of special functions were studied in dual.
Kadhavoor R. Karthikeyan +2 more
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Fekete–Szegö problem for starlike and convex functions of complex order [PDF]
, 2010 For nonzero complex b let Fn(b) denote the class of normalized univalent functions f satisfying Re [1+(z(Dnf)′(z)/Dnf(z)−1)/b]>0 in the unit disk U, where Dnf denotes the Ruscheweyh derivative of f.
Kanas, S., Darwish, H.E.
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Fractal and Fractional, 2023 Some well-known authors have extensively used orthogonal polynomials in the framework of geometric function theory. We are motivated by the previous research that has been conducted and, in this study, we solve the Fekete–Szegö problem as well as give ...
Sadia Riaz +5 more
doaj +1 more source
A Two‐Parameter Subclass of q‐Starlike Functions Associated With 1−sinz/cosz
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Using the real parameters λ and τ with −1 ≤ τ < λ < 1, a generalized q−extension ψqz;λ,τ of the function ψz=1−sinz/cosz, in O´=z∈ℂ:z<1, is defined. The function ψqz;λ,τ is then used as a subordination function to construct a novel subclass; STq∗λ,τ of q−starlike functions.
Nehad Ali Shah +4 more
wiley +1 more source