## The behavior of the zero-balanced hypergeometric series ${}_ pF_ {p-1}$ near the boundary of its convergence region

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- by Megumi Saigo and H. M. Srivastava
- Proc. Amer. Math. Soc.
**110**(1990), 71-76 - DOI: https://doi.org/10.1090/S0002-9939-1990-1036991-1
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## Abstract:

For a zero-balanced generalized hypergeometric function $_p{F_{p - 1}}\left ( z \right )$, the authors prove a formula exhibiting its behavior near the boundary point $z = 1$ of the region of convergence of the series defining it. The result established here provides an interesting extension of a formula which appeared in one of Ramanujan’s celebrated Notebooks; it also serves to solve the problem posed by R. J. Evans [5].## References

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## Bibliographic Information

- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**110**(1990), 71-76 - MSC: Primary 33C20
- DOI: https://doi.org/10.1090/S0002-9939-1990-1036991-1
- MathSciNet review: 1036991