Results 21 to 30 of about 117,934 (254)
Functional Dependence and Analytic Functions [PDF]
Canadian Mathematical Bulletin, 1979 AbstractWithout appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.
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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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Normality of Composite Analytic Functions and Sharing an Analytic Function
Fixed Point Theory and Applications, 2010 A result of Hinchliffe (2003) is extended to transcendental entire function, and an alternative proof is given in this paper. Our main result is as follows: let be an analytic function, a family of analytic functions in a domain , and a ...
Xiao Bing, Yuan Wenjun, Wu Qifeng
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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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Analytic cliffordian functions
, 2004 In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures of these algebras depend on the parity of the dimension n of the underlying vector space.
Laville, Guy, Lehman, Eric
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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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