Results 41 to 50 of about 13,660,663 (362)
Gamma Generalization Operators Involving Analytic Functions
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
doaj +1 more source
A class of analytic functions based on convolution [PDF]
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
doaj
An analytic continuation of random analytic functions (in Ukrainian) [PDF]
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
doaj
Zeros of Gaussian Analytic Functions
We prove and discuss three results on zero distribution of gaussian analytic functions: (i) the Edeleman-Kostlan formula for the expectation of the counting measure; (ii) a variation on the theme of Calabi's rigidity theorem; (iii) Offord's estimate of ...
Sodin, Mikhail
core +1 more source
Analytic functions over valued fields
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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Note on bases in algebras of analytic functions on Banach spaces
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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Rubel's problem on bounded analytic functions
The paper shows that for any $G_\delta$ set $F$ of Lebesgue measure zero on the unit circle $T$ there exists a function $f \in H^{\infty}$ such that the radial limits of $f$ exist at each point of $T$ and vanish precisely on $F$.
Danielyan, Arthur A.
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ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar +8 more
wiley +1 more source
An application of the distribution series for certain analytic function classes [PDF]
For the generalized distribution with the Pascal model defined by P(X=j) =Binomial(j+t-1,t-1)pj(1-p)t j∈{ 0,1,2,3,...}, let UP(λ ,α ,μ) and HP(λ ,α) represent the analytic function classes in the open unit disk D={z: z∈ℂ and |z|
Serkan Çakmak +2 more
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On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]
We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family.
Alpay, Daniel +3 more
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