Results 41 to 50 of about 1,040 (124)
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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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
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
Coefficient Inequalities Related With Apple‐Like Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Several subfamilies of Ma and Minda starlike and convex functions have been examined differently through individual generating functions in the literature. However, little or no effort has been devoted to subfamily arising from the product of these generating functions.
Aiman Sana +3 more
wiley +1 more source
THE FEKETE-SZEGÖ PROBLEM FOR A GENERALIZED CLASS OF ANALYTIC FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH q−CALCULUS [PDF]
, 2022 © Palestine Polytechnic University-PPU 2022.In the present investigation, by using the concept of convolution and q−calculus, we define a certain q−derivative operator for analytic functions in the open unit disk.
ORHAN, Halit +2 more
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Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function
Journal of Mathematics, Volume 2026, Issue 1, 2026.For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima +4 more
wiley +1 more source