We introduce some new infinite products, the simplest being ( 1 − y ) ∏ k = 2 ∞ ∏ j ∈ ϕ k ( 1 − y k q j ) 1 / k = ( 1 − y 1 − q y ) 1 / ( 1 − q ) , where ϕ k is the set of positive integers less than and relatively prime to k , valid for | y | ∧ | q y | both less than unity, with q ≠ 1 . The idea of a q -analogue for the Euler totient function is suggested.