Now, we conclude our present investigation by remarking that the fractional integration (of Marichev-Saigo-Maeda type) of the products of multivariable H-functions and the first class of multivariable polynomials established in this paper will be useful for investigators in various disciplines of applied sciences and engineering physics.
As can be seen, the above game problem (14) is reduced to a finite number of maximization problems in which low order multivariable polynomials are maximized over boxes.
Here we aim at presenting four unified fractional integral and derivative formulas of Saigo and Maeda type, which are involved in a product of ℵ-function and a general class of multivariable polynomials.
To this end, an LMI formulation for the sums of squares decomposition for multivariable polynomials is presented.
In this section, we prove two theorems on composition of the Marichev-Saigo-Maeda operators with the product of a multivariable H-function and the first class of multivariable polynomials.
Jan's main research areas are mathematical physics, statistical mechanics, interacting particle systems, solvable lattice models, representation theory and multivariable polynomials.
Here, in this paper, we aim at presenting four unified fractional integral and derivative formulas of Saigo and Maeda type [20], which are involved in a product of ℵ-function (1.17) and a general class of multivariable polynomials (1.25).
Again, by suitably specializing the coefficient of the first class of multivariable polynomials, it can be reduced to other multivariable hypergeometric polynomials and classical orthogonal polynomials of one or more variables.
As homogeneous multivariable polynomials, we can restrict (y_{k}) to a ball; that is, (|y_{k}|=1).
The main object of the present paper is to establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and Garg.
