On the zeros of some generalized hypergeometric functions

@inproceedings{Ki2000OnTZ,
  title={On the zeros of some generalized hypergeometric functions},
  author={Haseo Ki and Young One Kim},
  year={2000}
}
Let a , . . . , a , b , . . . , b be real constants with a , . . . , a / 0, y1, y2, . . . and 1 p 1 p 1 p Ž . Ž . b , . . . , b ) 0, and let F z s F a , . . . , a ; b , . . . , b ; z . It is shown that the 1 p p p p p 1 p 1 p Ž . Ž . following three conditions are equivalent to each other: i F z has only a finite p p Ž . Ž . Ž . number of zeros, ii F z has only real zeros, and iii the a ’s can be re-indexed p p j so that a s b q m , . . . , a s b q m for some nonnegative integers m , . . . , m… CONTINUE READING

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