Results 1 to 10 of about 1,545,063 (318)

A study of the Fekete-Szegö functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials

open access: goldAIMS Mathematics, 2022
In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by $ \mathcal F_{\left(\beta,\gamma\right)} \bigg(\alpha,\delta,\mu,H\big(z,C_{n}^{\left(\lambda \right)} \left(t\right)\big)\bigg), $ satisfying ...
H. M. Srivastava   +2 more
doaj   +2 more sources

A coefficient estimate for multivalent functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1976
By making use of extreme point theory we obtain bounds on the coefficients of a class of functions, multivalent in the unit disk, closely related to the bounds conjectured by Goodman.
D. J. Hallenbeck, Albert E. Livingston
openalex   +2 more sources

A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
In this paper, we introduce a newly defined  subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei   +2 more
doaj   +1 more source

Quantile-Wavelet Nonparametric Estimates for Time-Varying Coefficient Models

open access: yesMathematics, 2022
The paper considers quantile-wavelet estimation for time-varying coefficients by embedding a wavelet kernel into quantile regression. Our methodology is quite general in the sense that we do not require the unknown time-varying coefficients to be smooth ...
Xingcai Zhou, Guang Yang, Yu Xiang
doaj   +1 more source

On the Ninth Coefficient of the Inverse of a Convex Function

open access: yesMathematics, 2021
We consider the inverse function z=g(w)=w+b2w2+⋯ of a normalized convex univalent function w=f(z)=z+a2z2+⋯ on the unit disk in the complex plane. So far, it is known that |bn|≤1 for n=2,3,⋯,8.
Toshiyuki Sugawa
doaj   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials

open access: yesAxioms, 2023
The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials.
Yahya Almalki   +4 more
doaj   +1 more source

Development of Novel Subclasses for Bi-Univalent Functions

open access: yesASM Science Journal, 2021
This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator.
MUNIRAH ROSSDY   +2 more
doaj   +1 more source

Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

open access: yesFractal and Fractional, 2023
This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil   +2 more
doaj   +1 more source

Initial Coefficients Upper Bounds for Certain Subclasses of Bi-Prestarlike Functions

open access: yesAxioms, 2023
In this article, we introduce and study the behavior of the modules of the first two coefficients for the classes NΣ(γ,λ,δ,μ;α) and NΣ*(γ,λ,δ,μ;β) of normalized holomorphic and bi-univalent functions that are connected with the prestarlike functions.
Tareq Hamadneh   +5 more
doaj   +1 more source

Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogarithm function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms ...
G. Swapna   +2 more
doaj   +1 more source

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