A-function of several variables
Transformation Formulas for the First Kind of Lauricella’s Function of Several Variables
... k ∈ n are real and positive; ( ) a abbreviates the array of A parameters; a 1 , , a A , ( ) b ( ) k abbreviates the array of B ( ) k parameters b ( ) j k , j = 1, 2, , B ( ) k for all k ∈ { 1, 2, , n } with ...
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Euler type triple integrals involving, general class of polynomials and multivariable A-function
... of several variables presented in this paper, is quite basic in ...this function, we may obtain the triple Eulerian integrals concerning various other special functions such as H-function of ...
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On Two Extension Formulas for Lauricella’s Function of the Second Kind of Several Variables
... k ∈ n are real and positive; ( ) a abbreviates the array of A parameters; a 1 , a A , ( ) b ( ) k abbreviate the array of B ( ) k parameters b ( ) j k , j = 1, 2, , B ( ) k for all k ∈ { 1, 2, , n } with similar ...
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Reoptimizations in linear programming
... a function of several variables (also called objective function, purpose function or efficiency function), if variables are subject to some ties expressed by equations and ...
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On closed rational functions in several variables
... rational function ϕ = f /g is closed if f and g are algebraically independent and at least one of them is ...rational function ϕ = f /g is closed if and only if the pencil αf + βg contains only finitely ...
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Designs for generalized linear models with several variables and model uncertainty
... Standard factorial designs may sometimes be inadequate for experiments that aim to estimate a generalized linear model, for example, for describing a binary response in terms of several variables. A method ...
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Euler type triple integrals involving, general class of polynomials and multivariable I-function defined by Nambisan
... of several variables presented in this paper, is quite basic in ...this function, we may obtain the triple Eulerian integrals concerning various other special functions such as H-function of ...
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Euler type triple integrals involving, general class of polynomials and multivariable I-function defined by Prasad
... of several variables presented in this paper, is quite basic in ...this function, we may obtain the triple Eulerian integrals concerning various other special functions such as H-function of ...
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Fourier expansion of generalized prolate spheroidal wave function concerning generalized polynomials ,Aleph-function and multivariable I-function
... of several variables defined by Prasad [4] presented in this paper, is quite basic in ...this function, we may obtain various other special functions o several variables such as m ...
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Infinite finite integral involving the M-serie, a general class of polynomials and multivariable Aleph-functions I
... of several variables and the M-serie ...general function of several variables studied so ...and several variables can be ...
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Functions of several variables analysis applied in inventory management
... It is a natural trend in theoretical basis of scientifi c disciplines to study various model situations using increasingly precise models which, among other things, enable us to analyse more accurately the simulated ...
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A study of unified results involving a product of generalized Legendre's function, a general class of polynomials, Aleph-function with the multivariable I-function
... associated function, Aleph-function and I-function of several variables has been evaluated and an expansion formula for product of the general class of polynomials, Legendre's ...
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Approximately generalized additive functions in several variables
... A non-Archimedean field is a field K equipped with a function (valuation) | . | from K into [0, ∞) such that |r| = 0 if and only if r = 0, |rs| = |r||s|, and |r + s| ≤ max{|r|, |s|} for all r, s ∈ K. Clearly |1| = ...
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Some finite double integral involving general class of polynomials, special functions , Aleph-function and multivariable I-function
... of several variables presented in this paper, is quite basic in ...this function, we may obtain various other special functions o several variables such as multivariable H- ...
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Nevanlinna representations in several variables
... a function is determined by its growth on the single ray { iyχ : y > 0 } , in turn the growth of the function on the entire polyhalf-plane is constrained by its ...
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Several Inequalities on Moment of Uncertain Variables
... a function of uncertain variables is usually an uncertain ...a function of it exists is required to ...uncertain variables, we know that the difference of ...
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Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables
... In this paper, we review on a general theory of orthogonal polynomials in several variables (O.P.S.V) in which we present two different approaches for the three-term recurrence relation. We draw attention ...
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Some inequalities in connection to relative orders of entire functions of several complex variables
... entire function g when relative order (relative lower oreder) of f and g with respect to another entire function h are respectively ...entire function of two complex variables as those are ...
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A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications
... Abstract. In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic ...
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Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
... In this paper we continue the work begun in 5, 6, 8, 9, 11, 16; and we obtain a sufficient condition for a normalized quasiregular holomorphic mapping on B, which can be imbedded as the fi[r] ...
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