References
- Burnside , W. 1917 . A rapidly convergent series for log N! . Messenger Math. , 46 : 157 – 159 .
- Erdélyi , A. , Magnus , W. , Oberhettinger , F. and Tricomi , F. 1981 . Higer Transcendental Functions , Vol. I , New York : McGraw Hill . reprinted Krieger, Melbourne, Florida
- Guo , D. R. and Wang , Z. X. 1989 . Special Functions , Singapore : World Scientific .
- Hald , A. 2003 . “ A History of Probability and Statistics and their Applications before 1750 ” . Hoboken, NJ : John Wiley & Sons Inc .
- Hermite , M. Ch. 1895 . Sur la fonction . J. Reine Angew. Math. , 115 : 201 – 208 .
- Luke , Y. L. 1969 . The Special Functions and their Approximations , Vol. I , New York : Academic Press .
- Milne-Thomson , L. M. 1933 . The Calculus of Finite Differences , London : Macmillan .
- Nörlund , N. E. 1961 . Sur les valeurs asymptotiques des nombres et des polynômes de Bernoulli . Rend. Circ. Mat. Palermo , 10 : 27 – 44 . (doi:10.1007/BF02844807)
- Olver , F. W.J. 1997 . Asymptotics and Special Functions , Wellesley, MA : A K Peters .
- Olver , F. W.J. , Lozier , D. W. , Boisvert , R. F. and Clark , C. W. 2010 . NIST Handbook of Mathematical Functions , Edited by: Olver , F. W.J. , Lozier , D. W. , Boisvert , R. F. and Clark , C. W. New York : Cambridge University Press .
- Remmert , R. and Kay , L. D. 1997 . Classical Topics in Complex Function Theory , New York : Springer .
-
Rowe
,
Ch. H.
1931
.
A proof of the asymptotic series for
and
Vol. 32 , 10 – 16 . Ann. Math.
- Temme , N. M. 1996 . Special Functions: An Introduction to the Classical Functions of Mathematical Physics , New York : John Wiley & Sons .
- Weniger , E. J. 2010 . Summation of divergent power series by means of factorial series . Appl. Numer. Math. , 60 : 1429 – 1441 . (doi:10.1016/j.apnum.2010.04.003)
- Whittaker , E. T. and Watson , G. N. 1927 . A Course of Modern Analysis , 4 , Cambridge : Cambridge University Press .
- Wilton , J. R. 1922–1923 . A proof of Burnside's formula for and certain allied properties of Riemann's ζ-function . Messenger Math. , 52 : 90 – 93 .