Translation please,
 

[URL]https://www.wolframalpha.com/input/?i=product+n%5Ei%2Bn,+i%3D1+to+k[/URL]


* What is the semicolon?

* How does this expand to:

2n(n[SUP]2[/SUP]+n)(n[SUP]3[/SUP]+n)...(n[SUP]k[/SUP]+n)

Thank you in advance.:smile:

Doesn't it say right there?
the [I]q[/I]-Pochhammer symbol (a; q)[SUB]n[/SUB]

[QUOTE=Batalov;463441]Doesn't it say right there?
the [I]q[/I]-Pochhammer symbol (a; q)[SUB]n[/SUB][/QUOTE]
Good eyes.
Thank you.

There is sigma as the symbol for sum of series, there is the equivalent symbol for product of series ( what is that symbol called? ).

Is there an equivalent symbol/operator for the power of series?

Replacing the word "sum" or "product" with "power" in Wolfram alpha does not return expected results.

Thank you in advance.

[QUOTE=a1call;463463]There is sigma as the symbol for sum of series, there is the equivalent symbol for product of series ( what is that symbol called? ).
[/QUOTE]

[URL="https://en.wikipedia.org/wiki/Pi_%28letter%29"]Capital pi.[/URL]

[QUOTE=paulunderwood;463464][URL="https://en.wikipedia.org/wiki/Pi_%28letter%29"]Capital pi.[/URL][/QUOTE]



:blush:Doh:blush:

Correct me if I am wrong, but it should be possible to represent the power-of-series using iteration notation.
[url]https://en.m.wikipedia.org/wiki/Iterated_function[/url]

Would appreciate confirmation or negation.

Thank you in advance.

The concept seems absent on the net:

[url]http://www.google.com/search?q=%22power+of+series%22[/url]

[QUOTE=a1call;463476]The concept seems absent on the net:

[url]http://www.google.com/search?q=%22power+of+series%22[/url][/QUOTE]

are we talking geometric series, arithmetic series, harmonic series?, or power series? are they finite, or infinite ? I once saw a math.stackexchange question about powers using arithmetic progressions in order for example ( not quite the same but interesting non the less).

[QUOTE=science_man_88;463480]are we talking geometric series, arithmetic series, harmonic series?, or power series? are they finite, or infinite ? I once saw a math.stackexchange question about powers using arithmetic progressions in order for example ( not quite the same but interesting non the less).[/QUOTE]

[url]https://www.wolframalpha.com/input/?i=sum+n%5Ei%2Bn,+i%3D1+to+k[/url]

[url]https://www.wolframalpha.com/input/?i=product+n%5Ei%2Bn,+i%3D1+to+k[/url]

[url]https://www.wolframalpha.com/input/?i=power+n%5Ei%2Bn,+i%3D1+to+k[/url]

?= (n^1+n)^(n^2 +n)^.... [k times]

[QUOTE=a1call;463481][url]https://www.wolframalpha.com/input/?i=sum+n%5Ei%2Bn,+i%3D1+to+k[/url]

[url]https://www.wolframalpha.com/input/?i=product+n%5Ei%2Bn,+i%3D1+to+k[/url]

[url]https://www.wolframalpha.com/input/?i=power+n%5Ei%2Bn,+i%3D1+to+k[/url]

?= (n^1+n)^(n^2 +n)^.... [k times][/QUOTE]

iterated functions are [TEX]f^n(x)[/TEX] so like the functions of LL or [TEX]M_n [/TEX]

for LL it's :

[TEX]f(x)=x^2-2 \ \pmod {M_p}[/TEX] but starting with x=4

for generating the next mersenne number you can use:

[TEX]f(x)=2x+1[/TEX] starting at x=0 ( or x=1 depending on what you think of 0 being a mersenne number, under one of the definitions) . I guess, I don't get where you are going.