Results 31 to 40 of about 3,204,490 (302)
Clustering by analytic functions
Information Sciences, 2012 Data clustering is a combinatorial optimization problem. This article shows that clustering is also an optimization problem for an analytic function. The mean squared error, or in this case, the squared error can expressed as an analytic function. With an analytic function we benefit from the existence of standard optimization methods: the gradient of ...
Malinen Mikko, Fränti Pasi
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A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 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 $mathcal{U}$.
Santosh B. Joshi +2 more
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Gamma Generalization Operators Involving Analytic Functions
Mathematics, 2021 In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments.
Qing-Bo Cai +2 more
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On certain analytic univalent functions
International Journal of Mathematics and Mathematical Sciences, 2001 We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained.
B. A. Frasin, M. Darus
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Convex combination of analytic functions
Open Mathematics, 2017 Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun +2 more
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A class of analytic functions based on convolution [PDF]
Surveys in Mathematics and its Applications, 2010 We introduce a class TSpg(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+Σn=2∞bnzn, bn>0, |z|
H. Silverman +3 more
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An analytic continuation of random analytic functions (in Ukrainian) [PDF]
Математичні Студії, 2011 Let $(eta_n(omega))$ be a sequence of independent randomvariables such that $eta_n(omega)$ takes the values $-1$ and$1$ with the probabilities $p_n$ and $1-p_n$, respectively. Put$q_n=min{p_n,1-p_n}$.
P. V. Filevych
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CT-Right Equivalence Of Analytic Functions
Demonstratio Mathematica, 2015 Let ƒ, g : (ℝn, 0) --+ (ℝ, 0) be analytic functions. We will show that if ▽ƒ(0) = 0 and g ƒ∈ (ƒ)r+2 then I and g are Cr-right equivalent, where (ƒ) denote ideal generated by ƒ and r ∈ ℕ.
Migus Piotr
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Note on bases in algebras of analytic functions on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
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Analytic functions over valued fields
International Journal of Mathematics and Mathematical Sciences, 1990 Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective ...
R. Bhaskaran, V. Karunakaran
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