MONTAGE FOR THE GAMMA FUNCTION

L. R. Shenton (U.S.A.) and K. O. Bowman (U.S.A.)

Received February 20, 2008

References:

[1] B. W. Char, On Stieltjes' continued fraction for the Gamma functions, Mathematics of Computation 34(150) (1980), 547-551. [2] C. W. Clemshaw, Polynomial approximations to elementary functions, Math. Tables Aids Comp. 8 (1954), 143-147. [3] L. Euler, Commentatio in fractionem continuam qua illustris La Grange potestates binomiales expressit, Mémoires de l’Académie imperiale des sciences de St. Pétersbourg 6 (1813). [4] Handbook of Mathematical Functions, National Bureau of Standards, 1964. [5] L. R. Shenton and K. O. Bowman, Continued fractions for the Psi-function and its derivatives, SIAM J. Appl. Math. 20(4) (1971), 547-554. [6] L. R. Shenton and K. O. Bowman, Second order continued fractions and Fibonacci numbers, Far East J. Appl. Math. 20(1) (2005), 17-31. [7] T. J. Stieltjes, Correspondence D'Hermite et de Stieltjes, Gauthier-Villars, Paris, 1905. [8] T. J. Stieltjes, Oeuvres Complétes, Tome 2, P. Noordhoff, Groningen, 1918. [9] H. S. Wall, Continued Fractions, Chelsea Publishing Co., Bronx, N.Y., 1948.

Keywords and phrases: Psi-function.