Horn function

Horn function

In the theory of special functions in mathematics, the Horn functions are the 34 distinct convergent hypergeometric series of order two enumerated by J. Horn (1931) (as corrected by Borngässer in 1933).

There are 14 complete series for which p=p^'=q=q^'=2,

* J. Horn [http://www.digizeitschriften.de/resolveppn/GDZPPN002275066 Math. Ann.] 105, 381 (1931)
* J. Horn [http://www.digizeitschriften.de/resolveppn/GDZPPN002278006 Math. Ann.] 111, 637 (1933)

References

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