Horn function
Encyclopedia
In the theory of special functions in mathematics
, the Horn functions (named for Jacob Horn) are the 34 distinct convergent hypergeometric series
of order two (i.e. having two independent variables), enumerated by (corrected by ). They are listed in .
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the Horn functions (named for Jacob Horn) are the 34 distinct convergent hypergeometric series
Hypergeometric series
In mathematics, a generalized hypergeometric series is a series in which the ratio of successive coefficients indexed by n is a rational function of n. The series, if convergent, defines a generalized hypergeometric function, which may then be defined over a wider domain of the argument by...
of order two (i.e. having two independent variables), enumerated by (corrected by ). They are listed in .