Contiguous Function

A hypergeometric function in which one parameter changes by +1 or -1 is said to be contiguous. There are 26 functions contiguous to _2F_1(a,b;c;x) taking one pair at a time. There are 325 taking two or more pairs at a time. See Abramowitz and Stegun (1972, pp. 557-558).

See also

Hypergeometric Function

Explore with Wolfram|Alpha


Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972.

Referenced on Wolfram|Alpha

Contiguous Function

Cite this as:

Weisstein, Eric W. "Contiguous Function." From MathWorld--A Wolfram Web Resource.

Subject classifications