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HYPERGEOName:
This function only tries to compute the hypergeometric function for the convergent case, which is ABS(x) < 1 and C <= A + b. Although many common functions can be defined as a special case of this function, it is typically better to use functions that take advantage of features of the specific function for more efficient and accurate evaluation. The input value must be have an absolute value less than 1. The C shape parameter should not be 0 or a negative integer. Also, if C <= A + B, the hypergeometric function is divergent and Dataplot will not attempt to conpute the function for this case either. Dataplot computes this function using the HYGFX routine from "Computation of Special Functions" (see the References section below).
where <x> is a number, variable, or parameter; <a> is a number, variable, or parameter; <b> is a number, variable, or parameter; <b> is a number, variable, or parameter; <c> is a number, variable, or parameter; <y> is a variable or a parameter (depending on what <a>, <b>, and <c> are) where the computed values are stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Z = HYPERGEO(1,0.1,0.2,2) LET Z = HYPERGEO(0.1,-1.3,0.1,4)
"Handbook of Mathematical Functions, Applied Mathematics Series, Vol. 55", Abramowitz and Stegun, National Bureau of Standards, 1964.
Date created: 6/5/2001 |