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 Apr9 revised Expressing ${}_2F_1(a, b; c; z)^2$ as a single series edited tags Apr9 comment Expressing ${}_2F_1(a, b; c; z)^2$ as a single series I do not see how it is a Legendre function. Can you elaborate? Apr9 asked Expressing ${}_2F_1(a, b; c; z)^2$ as a single series Apr9 comment Integral relations in Fricke and Klein @sranthrop You are using vol. 2. As far as I know vol. 1 is not on archive.org. Use the link to vol. 1 in my question. You should be able to preview the entire book. Apr6 awarded Enlightened Apr6 awarded Nice Answer Apr5 comment Integral relations in Fricke and Klein @sranthrop I would really appreciate your help. There are three relations at the top of p. 34. The derivation starts at the bottom of p. 33 right after (3). Mar26 revised Integral relations in Fricke and Klein added 50 characters in body Mar26 comment Integral relations in Fricke and Klein @Andy You can preview the entire book. Mar26 asked Integral relations in Fricke and Klein Mar24 answered If $\{a_n\}$ and $\{b_n\}$ are Cauchy, then $\{a_n + b_n\}$ is Cauchy. Mar24 comment If $\{a_n\}$ and $\{b_n\}$ are Cauchy, then $\{a_n + b_n\}$ is Cauchy. Because they are arbitrary real numbers $> 0$. Mar7 answered How to show $n^5 + 29 n$ is divisible by $30$ Feb23 asked Concerning linearly independent functions Feb23 comment What are the practical applications of the Taylor Series? @littleO Have a look at Einstein's famous energy-momentum relation, which is not very difficult to derive. For a particle at rest, the momentum $p$ is zero, so we get $E = mc^2$. If $p \approx 0$, then $E \approx mc^2$. Jan10 comment Regarding the derivative of the $j$-invariant Thank you. I will have a look. Jan10 accepted Regarding the derivative of the $j$-invariant Jan7 comment Regarding the derivative of the $j$-invariant Thanks. Do you have a reference for this formula? Jan6 asked Regarding the derivative of the $j$-invariant Jan1 answered Find all continuous functions $f:\mathbb R\to\mathbb R$ such that $f(f(x))=e^{x}$