contiguous functions

contiguous functions

[kən′tig·yə·wəs ′fəŋk·shənz]
(mathematics)
Any pair of hypergeometric functions in which one of the parameters differs by unity and the other two are equal.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
A final remark is that using the contiguous functions relations for the hypergeometric functions one can replace the second hypergeometric function in (29) by a linear combination of the first hypergeometric function and its derivative.
We note that, owing to the contiguous functions relations [60], the two-term structure of the solution is a general property of all finite-sum hypergeometric reductions of the general Heun functions achieved via termination of series solutions.
Multifunctional grams map onto contiguous functions by virtue of the fact that these functions share pertinent features, often as a consequence of diachronic processes in which a gram gradually acquires new similar (adjacent) functions.