Proof that this product is transcendental (or not) [on hold]
The following products can be expressed using the q-Pochhammer symbol:
$Pi^{infty}_{n=0}left(1+e^{-n}right)=left(-1; frac{1}{e}right)_infty$
$Pi^{infty}_{n=1}left(1-e^{-n}right)=left(frac{1}{e}; frac{1}{e}right)_infty$
Must these two constants be transcendental? I believe they should, but I'm looking for how to prove if they are indeed or are not.
infinite-product
asked yesterday
El Ectric
1549
put on hold as off-topic by Math1000, jgon, Cesareo, KReiser, Holo yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Math1000, jgon, Cesareo, KReiser, Holo
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
The following products can be expressed using the q-Pochhammer symbol:
$Pi^{infty}_{n=0}left(1+e^{-n}right)=left(-1; frac{1}{e}right)_infty$
$Pi^{infty}_{n=1}left(1-e^{-n}right)=left(frac{1}{e}; frac{1}{e}right)_infty$
Must these two constants be transcendental? I believe they should, but I'm looking for how to prove if they are indeed or are not.
infinite-product
asked yesterday
El Ectric
1549
put on hold as off-topic by Math1000, jgon, Cesareo, KReiser, Holo yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Math1000, jgon, Cesareo, KReiser, Holo
If this question can be reworded to fit the rules in the help center, please edit the question.
Your thoughts? $,$
– Math1000
yesterday
add a comment |
The following products can be expressed using the q-Pochhammer symbol:
$Pi^{infty}_{n=0}left(1+e^{-n}right)=left(-1; frac{1}{e}right)_infty$
$Pi^{infty}_{n=1}left(1-e^{-n}right)=left(frac{1}{e}; frac{1}{e}right)_infty$
Must these two constants be transcendental? I believe they should, but I'm looking for how to prove if they are indeed or are not.
infinite-product
asked yesterday
El Ectric
1549
The following products can be expressed using the q-Pochhammer symbol:
$Pi^{infty}_{n=0}left(1+e^{-n}right)=left(-1; frac{1}{e}right)_infty$
$Pi^{infty}_{n=1}left(1-e^{-n}right)=left(frac{1}{e}; frac{1}{e}right)_infty$
Must these two constants be transcendental? I believe they should, but I'm looking for how to prove if they are indeed or are not.
infinite-product
infinite-product
asked yesterday
El Ectric
1549
asked yesterday
El Ectric
1549
edited yesterday
asked yesterday
El Ectric
1549
asked yesterday
El Ectric
1549
asked yesterday
El Ectric
1549
1549
put on hold as off-topic by Math1000, jgon, Cesareo, KReiser, Holo yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Math1000, jgon, Cesareo, KReiser, Holo
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by Math1000, jgon, Cesareo, KReiser, Holo yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Math1000, jgon, Cesareo, KReiser, Holo
If this question can be reworded to fit the rules in the help center, please edit the question.
Your thoughts? $,$
– Math1000
yesterday
add a comment |
Your thoughts? $,$
– Math1000
yesterday
Your thoughts? $,$
– Math1000
yesterday
Your thoughts? $,$
– Math1000
yesterday
add a comment |
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Your thoughts? $,$
– Math1000
yesterday