Results 1 to 10 of about 38,700 (120)

Applications of Borel distribution series on holomorphic and bi-univalent functions [PDF]

open access: yesMathematica Moravica, 2021
In present manuscript, we introduce and study two families BS(l, d; a) and B * S (l, d; b) of holomorphic and bi-univalent functions which involve the Borel distribution series. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a2|
Wanas Abbas Kareem   +1 more
doaj   +1 more source

Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
doaj   +1 more source

Logarithmic Coefficient Bounds and Coefficient Conjectures for Classes Associated with Convex Functions

open access: yesJournal of Function Spaces, 2021
It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi   +3 more
doaj   +1 more source

A method for estimating width bands of variables in economics under uncertainty conditions

open access: yesMethodsX, 2021
This study develops a method to estimate the width bands of variables in economics by fuzzy logic. One of its important features is flexibility in the conditions of economic uncertainty, which can be used to model the uncertainty of external and internal
Reza Ashraf Ganjoei   +3 more
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

Starlike Functions Associated with Bernoulli’s Numbers of Second Kind

open access: yesAxioms, 2023
The aim of this paper is to introduce a class of starlike functions that are related to Bernoulli’s numbers of the second kind. Let φBS(ξ)=ξeξ−12=∑n=0∞ξnBn2n!, where the coefficients of Bn2 are Bernoulli numbers of the second kind.
Mohsan Raza   +4 more
doaj   +1 more source

Harmonic mappings onto R-convex domains

open access: yesПроблемы анализа, 2019
The plane domain D is called R-convex if D contains each compact set bounded by two shortest sub-arcs of the radius R with endpoints w1, w2 ∈ D, |w1−w2|
Graf S. Yu.
doaj   +1 more source

Certain Coefficient Bounds for p-Valent Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
In the present paper, the authors obtain sharp bounds for certain subclasses of p-valent functions. The results are extended to functions defined by convolution.
C. Ramachandran   +2 more
doaj   +1 more source

Remark on functions with all derivatives univalent

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
doaj   +1 more source

Coefficient bounds for certain subclasses of starlike functions

open access: yesJournal of Inequalities and Applications, 2019
The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show that their conjectures for the bound on the
Nak Eun Cho   +3 more
doaj   +1 more source

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