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Old 2017-07-15, 01:09   #1
a1call
 
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Default Translation please,

https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k


* What is the semicolon?

* How does this expand to:

2n(n2+n)(n3+n)...(nk+n)

Thank you in advance.
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Old 2017-07-15, 01:24   #2
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Doesn't it say right there?
the q-Pochhammer symbol (a; q)n
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Old 2017-07-15, 01:33   #3
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Quote:
Originally Posted by Batalov View Post
Doesn't it say right there?
the q-Pochhammer symbol (a; q)n
Good eyes.
Thank you.
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Old 2017-07-15, 16:07   #4
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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.
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Old 2017-07-15, 16:35   #5
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Quote:
Originally Posted by a1call View Post
There is sigma as the symbol for sum of series, there is the equivalent symbol for product of series ( what is that symbol called? ).
Capital pi.

Last fiddled with by paulunderwood on 2017-07-15 at 16:35
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Old 2017-07-15, 17:39   #6
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Quote:
Originally Posted by paulunderwood View Post


Doh
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Old 2017-07-15, 18:21   #7
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Correct me if I am wrong, but it should be possible to represent the power-of-series using iteration notation.
https://en.m.wikipedia.org/wiki/Iterated_function

Would appreciate confirmation or negation.

Thank you in advance.
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Old 2017-07-15, 18:36   #8
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The concept seems absent on the net:

http://www.google.com/search?q=%22power+of+series%22
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Old 2017-07-15, 19:02   #9
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Quote:
Originally Posted by a1call View Post
The concept seems absent on the net:

http://www.google.com/search?q=%22power+of+series%22
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).
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Old 2017-07-15, 19:30   #10
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Quote:
Originally Posted by science_man_88 View Post
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).
https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k

https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k

https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k

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

Last fiddled with by a1call on 2017-07-15 at 19:32
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Old 2017-07-15, 19:50   #11
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iterated functions are f^n(x) so like the functions of LL or M_n

for LL it's :

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

for generating the next mersenne number you can use:

f(x)=2x+1 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.
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