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Apr
9
revised Expressing ${}_2F_1(a, b; c; z)^2$ as a single series
edited tags
Apr
9
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?
Apr
9
asked Expressing ${}_2F_1(a, b; c; z)^2$ as a single series
Apr
9
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.
Apr
6
awarded  Enlightened
Apr
6
awarded  Nice Answer
Apr
5
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).
Mar
26
revised Integral relations in Fricke and Klein
added 50 characters in body
Mar
26
comment Integral relations in Fricke and Klein
@Andy You can preview the entire book.
Mar
26
asked Integral relations in Fricke and Klein
Mar
24
answered If $\{a_n\}$ and $\{b_n\}$ are Cauchy, then $\{a_n + b_n\}$ is Cauchy.
Mar
24
comment If $\{a_n\}$ and $\{b_n\}$ are Cauchy, then $\{a_n + b_n\}$ is Cauchy.
Because they are arbitrary real numbers $> 0$.
Mar
7
answered How to show $n^5 + 29 n$ is divisible by $30$
Feb
23
asked Concerning linearly independent functions
Feb
23
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 $E \approx mc^2$.
Jan
10
comment Regarding the derivative of the $j$-invariant
Thank you. I will have a look.
Jan
10
accepted Regarding the derivative of the $j$-invariant
Jan
7
comment Regarding the derivative of the $j$-invariant
Thanks. Do you have a reference for this formula?
Jan
6
asked Regarding the derivative of the $j$-invariant
Jan
1
answered Find all continuous functions $f:\mathbb R\to\mathbb R$ such that $f(f(x))=e^{x}$