Results 11 to 20 of about 432,084 (315)
Coefficient estimates for Ruscheweyh derivatives [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3 ...
Maslina Darus, Ajab Akbarally
doaj +3 more sources
Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
doaj +2 more sources
On Coefficient Estimates for a Certain Class of Analytic Functions
Mathematics, 2022 In this paper, we consider a subclass SQ of normalized analytic functions f satisfying ℜf′(z)>1/2. For the functions in the class SQ, we determine upper bounds for a number of coefficient estimates, among which are initial coefficients, the second Hankel
Dorina Răducanu
doaj +2 more sources
A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]
Journal 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
Mathematics, 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
Mathematics, 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
Axioms, 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
ASM 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
Fractal 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
Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function
Известия 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