جستجوی مقالات مرتبط با کلیدواژه « Coefficient estimates » در نشریات گروه « ریاضی »
تکرار جستجوی کلیدواژه «Coefficient estimates» در نشریات گروه «علوم پایه»-
International Journal Of Nonlinear Analysis And Applications, Volume:15 Issue: 10, Oct 2024, PP 1 -10This investigation deals with two new subclasses of analytic and bi-univalent functions defined by Bernoulli polynomial. In this paper, coefficient estimation and Fekete-Szegö problems are solved for these newly defined function subclasses. In addition, certain remarks are indicated for the subclasses of bi-starlike and bi-convex functions.Keywords: Bi-Univalent Function, Coefficient Estimates, Fekete-Szegö Functional, Bernoulli Polynomials}
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This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials. Bounds for coefficients $\left|a_{2}\right|$ and $\left|a_{3}\right|$ of functions in these subclasses are estimated in terms of generalized Bivariate Fibonacci polynomials. In addition, the Fekete-Szeg\"{o} problem is handled for the members of these subclasses and several consequences and examples of the main results are presented. The results of article generalize some of the previously published papers in the literature.Keywords: Bi-Univalent Function, Coefficient Estimates, Fekete-Szeg, {O} Functional, Bivariate Fibonacci Polynomials}
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In the present paper, we introduce the class Βθ(α,β) consisting of functions f, analytic in the unit disc ∆, normalized by the condition f(0)=0=f'(0)-1 and satisfying the following two-sided inequality α< Re{f'(z)+(1+eiθ)/2 zf''(z)}<β (z∈∆),where θ∊(-π,π], 0<α<1 and β>1. Integral representation, differential subordination results, coefficient estimates and Fekete-Szegö coefficient functional associated with the k-th (k≥1) root transform [f(zk)]1/k for functions in the class Βθ(α,β), are determined.<betaquad</betaquad
Keywords: Univalent, Close-to-convex, Differential subordination, Coefficient estimates, Fekete-Szegö problem} -
In the present paper, we introduce a new subclass H∑m (λ,β)of the m-fold symmetric bi-univalent functions. Also, we find the estimates of the Taylor-Maclaurin initial coefficients |am+1| , |a2m+1| and general coefficients |amk+1| (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.
Keywords: Bi-univalent functions, m-fold symmetric bi-univalent functions, Coefficient estimates, Faber polynomials} -
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023, PP 3145 -3154In this paper, we introduce a new subclass of the class of \textit{m}-fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients $|a_{m+1}|,|a_{2m+1}|$ and Fekete-Szeg\H{o} functional problem for functions in this new subclass. The results in this paper generalize some of the results of Huo Tang et al. [18] Altinkaya and Yalcin [3].Keywords: Analytic functions, Bi-Univalent functions, m-fold symmetric functions, subordination, coefficient estimates, Fekete-Szego problem}
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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. Moreover, we use the Faber polynomial expansion to derive bounds for the Fekete-Szego problem and first two \emph{Taylor-Maclaurin coefficients} $|a_2|$ and $|a_3|$ for functions of this class.
Keywords: Analytic function, Bi-univalent function, Coefficient estimates, Faber polynomial expansion, Tremblay fractional derivative operato} -
The purpose of the present paper is to introduce a class Dn Σ;δC0(α) of bi-concave functions defined by Al-Oboudi differential operator. We find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.
Keywords: Bi-concave functions, Al-Oboudi differential operator, Coefficient estimates} -
In the current article, we introduce and investigate two new families of strongly Ozaki $\lambda$-pseudo bi-close-to-convex functions in the open unit disk. We determine upper bounds for the second and third coefficients of functions belonging to these new subclasses. Also, we point out several certain special cases for our results.
Keywords: Bi-univalent, bi-close-to-convex, upper Bounds, coefficient estimates} -
The main purpose of this article is to introduce and investigate the subcategory $mathcal{H}_{Sigma}(n,beta;phi)$ of bi-univalent functions in the open unit disk $mathbb{U}$ related to subordination. Moreover, estimates on coefficient $|a_n|$ for functions belong to this subcategory are given applying different technique. In addition, smaller upper bound and more accurate estimation than the previous outcomes are obtained.
Keywords: Analytic function, univalent function, bi-univalent function, coefficient estimates, subordination} -
In this paper, we investigate two new subclasses $S^*_sigma(a, b)$ and $nu_sigma(a, b)$ of $sigma$ consisting of analytic and bi-univalent functions satisfying subordinations in the open unit disk $mathbb{U}$. We consider the Fekete-Szeg"{o} inequalities for these new subclasses. Also, we establish estimates for the coefficient for these subclasses.Keywords: Bi-univalent functions, Coefficient estimates, Fekete-Szegö coefficient inequality}
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یک تبدیل دیفرانسیلی خطی بر اساس تابع میتاگ-لفلر در نظر گرفته شده است. رده ی جدیدی از توابع تک ارز بر اساس تبدیل خطی تعریف شده است. برای توابع این رده، کران ضرایب، شعاع ستاره گونی و تحدبی به دست آمده است. همچنین نشان می دهیم که رده ی معرفی شده، یک مجموعه ی محدب است و ضرب پیچشی را نیز حفظ می کند.
کلید واژگان: تابع تک ارز, تابع میتاگ-لفلر, تبدیل دیفرانسیلی خطی, برآورد ضرایب, مجموعه ی محدب, ضرب پیچشی, خواص شعاعی}A generalized linear differential operator based on Mittag-Leffer function is considered.By applying this operator, a new class of univalent functions is defined. Here we obtain the coefficient bounds for functions belong to this class. Also we show that this class is a convex set. Furthermore we obtain the radii of starlikeness, convexity and close-to-convexity. Finally we show that the new class is closed under convolution.
Keywords: Univalent function, Mittag-Leffer function, Coefficient estimates, Convolution, Radii condition} -
The purpose of the present paper is to introduce and investigate two new subclasses 𝒦𝛴𝑚(𝜆,𝛾;𝛼) and 𝒦∗𝛴𝑚(𝜆,𝛾;𝛽) of 𝛴𝑚 consisting of analytic and 𝑚-fold symmetric bi-univalent functions defined in the open unit disk 𝑈. We obtain upper bounds for the coefficients |𝑎𝑚+1| and |𝑎𝑚| for functions belonging to these subclasses. Many of the well-known and new results are shown to follow as special cases of our results.
Keywords: Analytic functions, Univalent functions, m-Fold symmetric bi-univalent functions, Coefficient estimates} -
The purpose of the present paper is to introduce a class $\boldsymbol{D}% _{\lambda ,\delta }^{k,\alpha }C_{0}(\beta )$ of bi-concave functions defined by a differential operator. We find estimates on the Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert $ and $\left\vert a_{3}\right\vert $ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.
Keywords: bi-concave functions, differential operator, coefficient estimates} -
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.Keywords: Univalent function, Starlike, convex functions, Gaussian hypergeometric function, Carlson-Shaffer operator, Coefficient estimates}
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In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analytic and biunivalent functions studied in the literature. Coclusions are given for all special parameters and the functions. And finally, some relevant classes which are well known before are recognized and connections to previus results are made.Keywords: Analytic functions, Biunivalent functions, Coefficient bounds, coefficient estimates, Taylor-Maclaurin coefficients}
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The sharp bounds for the third and fourth coefficients of Ma-Minda starlike functions having fixed second coefficient are determined. These results are proved by using certain constraint coefficient problem for functions with positive real part whose coefficients are real and the first coefficient is kept fixed. Analogous results are obtained for a general class of close-to-convex functionsKeywords: Coefficient estimates, starlike functions, close to convex functions, functions with positive real part, real coefficient}
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In the present paper, we introduce and investigate some properties of two subclasses Λn(λ,β) and Λ(λ,β); meromorphic and starlike functions of order β. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.Keywords: Analytic functions, Starlike functions, Convex functions, Coefficient estimates}
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In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.Keywords: Analytic functions, Bi, univalent functions, Coefficient estimates, Starlike functions, Koebe one, quarter theorem}
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