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A uniqueness theorem for bounded analytic functions on the polydisc
uniqueness theorem bounded analytic functions polydisc
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2011/2/21
For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f ∈ IN(Dn) a...
Local Zeta Functions and Oscillatory Integrals for Non-degenerate Laurent Polynomials Over p-adic Fields
exponential sums mod p p-adic oscillatory integrals Laurent polynomials
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2010/12/8
In this article, we study exponential sums mod p m, or more generally,p-adic oscillatory integrals attached to Laurent polynomials which are non-degenerate with respect to its Newton polytope at infin...
Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities
Infinite convolutions characteristic function entire functions
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2010/12/1
We prove that certain quotients of entire functions are characteristic functions. Under some conditions,the probability measure corresponding to a characteristic function of that type has a density wh...
R. Ganti and G. S. Srivastava, Approximation of Entire Functions over Jordan Domains
Entire function generalized order generalized type Faber polynomial approximation approximation error
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2009/6/16
In the present paper, we study the polynomial approximation of entire functions over
Jordan domains by using Faber polynomials. The coefficient characterizations of generalized
order and generalized...
R. Supper, Spherical Means of Subharmonic Functions
holomorphic functions in the unit disk subharmonic functions in the unit ball zeros of holomorphic functions Riesz measures Blaschke condition
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2009/6/16
This article is devoted to subharmonic functions u in the unit ball. It studies how
growth conditions on u impact on the Riesz measure associated to u. More precisely,
the growth hypotheses involve ...
Hadamard Product Of Certain Meromorphic $p-$Valent Starlike and $p-$Valent Convex Functions
Meromorphic $p$-valent Hadamard product
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2010/1/22
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (...
ALMOST-PERIODIC FUNCTIONS AND DISTRIBUTIONS ASSOCIATED WITH THE DUNKL OPERATOR ON R
Dunkl operator Bohr-almost-periodic functions Bohr-almost-periodic distributions Generalized-almost-periodic functions Generalized-almost-periodic distributions intertwining operator Fourier-Dunkl expansion Dunkl-Poisson formula
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2008/11/28
Almost periodic functions and distributions associated with the differential-difference
Dunkl operator Dμ of index μ on R are introduced and studied in this work. We give
their expansions in terms o...
ON STEERING MONOGENIC FUNCTIONS
Clifford algebras monogenic functions
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2008/11/26
In this paper a new class of monogenic functions is introduced.
HANKEL OPERATORS ON THE ENTIRE TEST FUNCTIONS WITH GROWTH CONDITION
Young function infinite dimensional entire functions with growth condition Hankel operators symbol of operators convolution exponential of operator quantum stochastic differential equations
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2008/11/25
The aim of this work is to introduce and study Hankel operators on infinite dimensional
space of entire functions with exponential growth conditions. First, we give
a necessary and sufficient condit...
STEPANOV-LIKE PSEUDO ALMOST PERIODIC FUNCTIONS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS
almost periodic pseudo almost periodic Stepanov-pseudo almost periodicity
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2008/11/25
This paper introduces and examines a new class of functions called Stepanov-like
pseudo almost periodic functions (or Sp-pseudo almost periodic functions), which generalizes
in a natural fashion the...
A NOTE ON LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA FUNCTIONS
completely monotonic function logarithmically completely monotonic function gamma function
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2008/11/25
The function (x=e)x
G(x+1=2) strictly logarithmically completely monotonic on (0;¥) is
proved and an alternative proof of the function [G(x+1)]1=x
x ¡1+ 1x
¢x strictly logarithmical...
Coefficient Inequalities For Certain Meromorphically $p$-valent Functions
$p$-Valent Meromorphic Starlike Convex Close-to-convex
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2010/1/25
The aim of this paper is to prove some inequalities for -valent meromorphic functions in the punctured unit disk and find important corollaries.
Inequalities for 3-log-convex Functions
Logarithmic derivative Convexity Gamma function Digamma function Extended means
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2010/1/22
This note gives a simple method for obtaining inequalities for ratios involving 3-log-convex functions. As an example, an inequality for Wallis's ratio of Gautchi-Kershaw type is obtained. Inequalitie...