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… ►Also, the homogeneity of the -function has led to a new type of mean value for several variables, accompanied by various inequalities. …
§1.16(vi) Distributions of Several Variables… ►For a multi-index , define ►
1.16.36… ► …
… ►A sequence of pairs of rational functions of several variables , , is called a Bailey pair provided that for each …
… ►Orthogonal polynomials associated with root systems are certain systems of trigonometric polynomials in several variables, symmetric under a certain finite group (Weyl group), and orthogonal on a torus. …In several variables they occur, for , as Jack polynomials and also as Jacobi polynomials associated with root systems; see Macdonald (1995, Chapter VI, §10), Stanley (1989), Kuznetsov and Sahi (2006, Part 1), Heckman (1991). …
Iterative Solution of Nonlinear Equations in Several Variables.
Academic Press, New York.
Orthogonal Polynomials of Several Variables.
Encyclopedia of Mathematics and its Applications, Vol. 81, Cambridge University Press, Cambridge.
Topics in Complex Function Theory. Vol. III: Abelian Functions and Modular Functions of Several Variables.
Interscience Tracts in Pure and Applied Mathematics, No. 25, Wiley-Interscience, [John Wiley & Sons, Inc], New York-London-Sydney.
Orthogonal Polynomials on -spheres: Gegenbauer, Jacobi and Heun.
In Topics in Polynomials of One and Several Variables and their
Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains.
Translations of Mathematical Monographs, Vol. 6, American Mathematical Society, Providence, RI.