Two infinite product formulas with two parameters.

Two interesting infinite product formulas were presented by Choiet al. [A generalization of Wilf's formula, Kodai Math. J. 26 (2003), pp. 44–48], who generalized an infinite product formula posed by Wilf as a problem inAmerican Mathematical Monthly[H.S. Wilf,Problem 10588, problems and solutions, Amer. Math. Monthly 104 (1997), p. 456]. Here, we aim mainly at establishing two infinite product formulas, expressed in terms of the Gamma function, whose special cases contain the above generalized infinite product formulas. Our formulas presented here are themselves interesting and their another advantage is the production, easily, of various known or (presumably) new formulas as their special cases. [ABSTRACT FROM AUTHOR]