two variables
A Study of -Function of Two Variables
... of two variables in the literature of special ...two variables. Some interesting special cases of H -function of two variables by comparing the series representation of H ...
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Calculation of Partial Derivatives of Two Variables Functions
... of two types of two variables ...the two types of two variables functions can be obtained mainly using differentiation term by term ...these two variables functions ...
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Closure Algorithms for Domains with Two Variables Per Inequality
... Abstract. Weakly relational numeric domains express restricted classes of linear inequalities that strike a balance between what can be described and what can be efficiently computed. Such domains often restrict their ...
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Two variables functionals and inequalities related to measurable operators
... In this paper, we introduce two variables norm functionals of τ -measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and ...
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Nonlinear Retarded Integral Inequalities with Two Variables and Applications
... We consider some new nonlinear retarded integral inequalities with two variables, which extend the results in the work of W.-S. Wang 2007, and the one in the work of Y.-H. kim 2009. These inequalities ...
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Practically significant relationships between two variables
... The Estimation Of Effect Sizes Of Relationships From Samples In the previous section we gave the appropriate effect sizes for establishing the importance of a relationship between two variables for a ...
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On a Generalized Retarded Integral Inequality with Two Variables
... This paper improves Pachpatte’s results on linear integral inequalities with two variables, and gives an estimation for a general form of nonlinear integral inequality with two variables. This ...
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On Transformation Involving Basic I-Function of Two Variables
... [16] R.K. Yadav, S.D. Purohit, S.L. Kalla and V.K. Vyas, Certain fractional q-integral formulae for the generalized basic hypergeometric functions of two variables, Jourla of Inequalities and Special ...
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Partial Derivatives of Some Types of Two-Variables Functions
... of two-variables ...of two-variables to evaluate their any order partial derivatives, and some of their higher order partial derivative values ...
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K Bessel functions in two variables
... in two variables (and three variables) is solved using symmetric series, with an explicit formula for co- efficients, in order to express the K-Bessel function as a linear combination of the ...
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On Humbert Matrix Polynomials of Two Variables
... of two variables, the double generating matrix functions and expansions of the Humbert matrix polynomials of two variables in series of Hermite polynomials are ...of two ...
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About Solutions of Nonlinear Algebraic System with Two Variables
... with two variables sufficient conditions of existence of solutions are ...a two parameter system of operators in fi- nite-dimensional spaces is ...of two-parameter not selfadjoint systems, ...
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On Nonlinear Integral Inequalities of Gronwall Type in Two Variables
... of two independent variables which can be used in the analysis of the behavior of the solutions of some partial differential ...inequality, two independent variables, partial dif- ferential ...
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On weakly semisimple derivations of the polynomial ring in two variables
... In this section we give a description of all weakly semisimple poly- nomials f ∈ K [x, y] of the form f (x, y) = f 1 (x)f 2 (y) (that is with sep- arated variables) and their eigenfunctions g(x, y) ∈ K [x, y] such ...
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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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A new class of theta function identities in two variables
... Abstract. We describe a new series of identities, which hold for certain gen- eral theta series, in two completely independent variables. We provide explicit examples of these identities involving the ...
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Incremental closure for systems of two variables per inequality
... The incremental completion algorithm is applicable to both Logahedra, where the coefficients are powers, and Octagons, since these are instances of TVPI sys- tems. To aid growth comparisons, the ranges of Figure 12, ...
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Two variables per linear inequality as an abstract domain
... ation, analysis and onstraints literature to make the following novel ontributions: { We show that a polynomial ompletion algorithm whi h makes expli it all the two-dimensional proje tio[r] ...
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Generalized ?-Difference Operator with Two Variables
... The difference equations manifest themselves as mathematical models describing real life situations in probability theory, queuing problems, statistical problems, stochastic time series, combinatorial analysis, number ...
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Generalized -Difference Operator with Two Variables
... The difference equations manifest themselves as mathematical models describing real life situations in probability theory, queuing problems, statistical problems, stochastic time series, combinatorial analysis, number ...
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