About the Project
17 q-Hypergeometric and Related FunctionsProperties

§17.5 ϕ00,ϕ01,ϕ11 Functions

Euler’s Second Sum

17.5.1 ϕ00(;;q,z)=n=0(1)nq(n2)zn(q;q)n=(z;q);

compare (17.3.2).

q-Binomial Series

q-Binomial Theorem

Euler’s First Sum

Cauchy’s Sum

17.5.5 ϕ11(ac;q,c/a)=(c/a;q)(c;q).