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New posts in Q Series
Show $1+\frac{8q}{1-q}+\frac{16q^2}{1+q^2}+\frac{24q^3}{1-q^3}+\dots=1+\frac{8q}{(1-q)^2}+\frac{8q^2}{(1+q^2)^2}+\frac{8q^3}{(1-q^3)^2}+\dots$.
May 09, 2021
Closed form of the integral ${\large\int}_0^\infty e^{-x}\prod_{n=1}^\infty\left(1-e^{-24\!\;n\!\;x}\right)dx$
Apr 29, 2021
A $q$-continued fraction connected to the divisor function?
Apr 28, 2021
Ramanujan theta function and its continued fraction
Apr 28, 2021
a new continued fraction for $\sqrt{2}$
Apr 28, 2021
Motivation for/history of Jacobi's triple product identity
Apr 25, 2021