functions of complex variables
19.Maximum Term and Lower Order of Entire Functions of Several Complex Variables
... entire functions of several complex ...entire functions of several complex variables have been obtained in terms of their Taylor’s series ...entire functions of several ...
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Some inequalities in connection to relative orders of entire functions of several complex variables
... During the past decades, several authors ( see [5],[9],[10],[11],[12],[13]) made close investigations on the properties of relative order of entire functions of single variable. In the case of relative order, it ...
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4.Polynomial Approximation and Interpolation of Entire Functions of Slow Growth in Several Complex Variables
... Abstract. In the present paper a characterization of the generalized order and type of entire functions of several complex variables by means of polyno- mial approximation and interpolation have been ...
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Relative p-th Order of Entire Functions of Several Complex Variables
... Abstract—In this paper we introduce the idea of relative p-th order of entire functions of several complex variables. After proving some basic results, we observe that the relative p-th order of a ...
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On Approximation and Generalized Type of Entire Functions of Several Complex Variables
... Janik [ 1 ] obtained the characterizations of order of entire functions in terms of the approximation errors defined above. Later he obtained the characterizations of the generalized order [ 3 ] . In this note we ...
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Complex Variables: Second Edition - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... In this chapter we will consider the problems of factoring out the zeros of an analytic function f on a region Ω (` a la polynomials), and of decomposing a meromorphic function (` a la partial fractions for rational ...
220
Complex Variables with Applications
... From sequences of numbers, we turn to sequences of functions. Then our concern is with both the form of convergence and the behavior of the limit function. Convergence, determined at each point in a set, need not ...
520
A Overview in the Field of Complex Variables
... of complex valued function w=f(z) and its associated topics , analytical functions and conformal mappings ...of complex analytic functions ...analytic functions since the real and ...
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Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables
... entire functions defined by Banach valued Dirichlet series with respect to an entire function defined by Banach valued Dirichlet series of two complex variables and to enquire its basic properties in ...
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8. On bases in the space of vector valued entire dirichlet series of two complex variables
... Abstract. The space of all entire functions represented by vector valued Dirichlet series of two complex variables is considered in this paper. It is equipped with two equivalent topologies. The main ...
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Generalized Order and Best Approximation of Entire Function in 𝐿𝑝 Norm
... The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation o[r] ...
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The space of entire functions of two variables as a metric space
... Theor of Analytic Functions of Several Complex Variables, American Mathematical Society, Providence, 1963... Three classes of linear functionals on the space of entire functions.[r] ...
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Calculation of Partial Derivatives of Two Variables Functions
... In this article, we study the partial differential problem of two types of two variables functions. The infinite series forms of any order partial derivatives of the two types of two variables ...
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Approximately generalized additive functions in several variables
... of papers and research monographs have been published on various generalizations and applications of the generalized Hyers–Ulam stability to a number of functional equations and functions (see [13]–[28], [34, 36, ...
20
K Bessel functions in two variables
... Bessel functions (of the first kind) defined on the space of real symmetric matrices appeared in the work of James [5] as an ingredient in the expression of some densities in multivariate ...of functions to a ...
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On closed rational functions in several variables
... In this section we give a characterization of closed rational functions. While proving Theorem 2 we use an approach from the paper of J. M. Ol- lagnier [7] connected with Darboux polynomials. Recall some notions ...
10
A Study On Methods Of Contour Integration
... of complex numbers is closed under the elementary transcendental ...used complex analysis methods for trying to prove Fermat’s last theorem, and he actually proved the impossibility of integer solutions of ...
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Complex Analysis Methods Related an Optimization Problem with Complex Variables
... in complex space. Hence after complex fractional program- ming problems in the linear and the nonlinear cases were treated by numerous authors ...to complex variables, for instance, in ...
17
Reduction formulae for the Lauricella functions in several variables
... Here, in this paper, we aim mainly at showing how one can obtain several interesting reduction formulae for Lauricella functions from a multiple hypergeometric series iden- tity (.). For this, we recall the ...
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A Generalisation Of Chebyshev’s Inequality For Functions Of Several Variables
... DRAGOMIR, A Gr¨ uss type integral inequality for mappings of r -H¨ older’s type and applications for trapezoid formula, Tamkang J.. DRAGOMIR, Some integral inequalities of Gr¨ uss type, [r] ...
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