The behaviour of the Gaussian hypergeometric series (for )
near the unit argument is given by a known analytic continuation formula when is not an integer. R. J. Evans and D. Stanton [SIAM J. Math. Anal. 15, 1010-1020 (1984; Zbl 0547.33001)] obtained continuation formulas near for , , when . The author of this paper obtains a continuation formula near for and unrestricted and also for or 4 when is not an integer. M. Saigo and H. M. Srivastava [Proc. Am. Math. Soc. 110, No. 1, 71-76 (1990; Zbl 0706.33004)] obtained a continuation formula near for arbitrary when . The author obtains here a continuation formula near for the series for arbitrary integral and unrestricted .