About the Project
NIST

several variables

AdvancedHelp

(0.001 seconds)

1—10 of 32 matching pages

1: Bille C. Carlson
Also, the homogeneity of the R -function has led to a new type of mean value for several variables, accompanied by various inequalities. …
2: 1.16 Distributions
§1.16(vi) Distributions of Several Variables
For a multi-index α = ( α 1 , α 2 , , α n ) , define
1.16.31 P ( x ) = α c α x α = α c α x 1 α 1 x n α n ,
1.16.36 ( P ( D ) u ) , ϕ = P - ( u ) , ϕ = ( u ) , P - ϕ ,
3: 17.12 Bailey Pairs
A sequence of pairs of rational functions of several variables ( α n , β n ) , n = 0 , 1 , 2 , , is called a Bailey pair provided that for each n 0
4: 18.37 Classical OP’s in Two or More Variables
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 q = 1 , 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). …
5: Bibliography O
  • J. M. Ortega and W. C. Rheinboldt (1970) Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York.
  • 6: Bibliography D
  • C. F. Dunkl and Y. Xu (2001) Orthogonal Polynomials of Several Variables. Encyclopedia of Mathematics and its Applications, Vol. 81, Cambridge University Press, Cambridge.
  • 7: Bibliography S
  • C. L. Siegel (1973) 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.
  • 8: Bibliography K
  • E. G. Kalnins and W. Miller (1993) Orthogonal Polynomials on n -spheres: Gegenbauer, Jacobi and Heun. In Topics in Polynomials of One and Several Variables and their Applications, pp. 299–322.
  • 9: Bibliography H
  • L. K. Hua (1963) Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains. Translations of Mathematical Monographs, Vol. 6, American Mathematical Society, Providence, RI.
  • 10: 19.28 Integrals of Elliptic Integrals
    To replace a single component of z in R - a ( b ; z ) by several different variables (as in (19.28.6)), see Carlson (1963, (7.9)). …