Some extensions of W. Gautschi’s inequalities for the gamma function

It has been shown by W. Gautschi that if 0 I Xi-s < F(x ) < exp[(I s)x + 1)]. The following closer bounds are proved: exp[(I s)4(x + 12)] < F + ) < exp[(I s) (x + s I)] F(x ? s)2 and [x + 2] <t <[ X-2+ (s + 4) These are compared with each other and with inequalities given by T. Erber and J. D. Keckic and P. M. Vasic