This function returns the value of the weight function for the order *k*
Jacobi polynomial, *G_k ≤ft( {p,q,x} \right)*.

1 | ```
jacobi.g.weight(x,p,q)
``` |

`x` |
the function argument which can be a vector |

`p` |
the first polynomial parameter |

`q` |
the second polynomial parameter |

The function takes on non-zero values in the interval * ≤ft( 0,1 \right) *. The formula
used to compute the weight function is as follows.

*w≤ft( x \right) = ≤ft( {1 - x} \right)^{p - q} \;x^{q - 1}*

The value of the weight function

Frederick Novomestky fnovomes@poly.edu

Abramowitz, M. and I. A. Stegun, 1968. *Handbook of Mathematical Functions with
Formulas, Graphs, and Mathematical Tables*, Dover Publications, Inc., New York.

Courant, R., and D. Hilbert, 1989. *Methods of Mathematical Physics*,
John Wiley, New York, NY.

Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1992.
*Numerical Recipes in C*, Cambridge University Press, Cambridge, U.K.

Szego, G., 1939. *Orthogonal Polynomials*, 23, American Mathematical Society
Colloquium Publications, Providence, RI.

1 2 3 4 5 6 7 | ```
###
### compute the Jacobi G weight function for argument values
### between 0 and 1
### parameter p is 3 and q is 2
###
x <- seq( 0, 1, .01 )
y <- jacobi.g.weight( x, 3, 2 )
``` |

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