Results 41 to 50 of about 439 (124)

The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
Toshio Hayami, Shigeyoshi Owa
doaj   +1 more source

Fekete-Szego problem for a general subclass of analytic functions [PDF]

open access: yes, 2019
WOS: 000488222100041In this present investigation, we introduced a certain subclass of starlike and convex functions of complex order b, using a linear multiplier differential operator D(lambda,mu)(m)f (z).
Uyanik, Neslihan
core   +1 more source

On a Subclass of Analytic Functions Related to a Hyperbola

open access: yesInternational 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

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

open access: yesMathematics, 2022
The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates.
Georgia Irina Oros   +1 more
doaj   +1 more source

Effective Summation and Interpolation of Series by Self-Similar Root Approximants

open access: yes, 2015
We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants.
Gluzman, S., Yukalov, V. I.
core   +2 more sources

Coefficient Inequalities for q-Convex Functions with Respect to q-Analogue of the Exponential Function

open access: yesAxioms, 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
doaj   +1 more source

Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator

open access: yesAbstract 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
doaj   +1 more source

The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions [PDF]

open access: yes, 2019
Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them.
Adegani, Ebrahim Analouei   +2 more
core   +2 more sources

Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination

open access: yesAxioms, 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

Fekete–Szegö Problem and Second Hankel Determinant for a Class of Bi-Univalent Functions Involving Euler Polynomials

open access: yesFractal 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

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