- #1
alyafey22
Gold Member
MHB
- 1,561
- 0
Anybody with q-series experience ?
I had to deal with them when working with compact quantum groups. What sort of experience were you looking for?ZaidAlyafey said:Anybody with q-series experience ?
That looks like a variation on the q-binomial theorem. Have you looked for a proof in Gasper and Rahman?ZaidAlyafey said:Great !
I am looking for a proof for the following
\(\displaystyle \frac{(-b)_{\infty}}{(a)_{\infty}} = \sum_{k \geq 0} \frac{\left(-b/a\right)_k} {(q)_k} a^k \)
Please don't expect to understand everything that Ramanujan could do! That way madness lies. (Tmi)ZaidAlyafey said:By the way Opalg , do you think it is a hard thing to deal with because I was depressed to see how Ramanujan worked with these stuff and I was like what is that !
I was assuming that $(a)_k$ was an abbreviation for $(a;q)_k$ (as here, for example), with the $q$ not explicitly mentioned. But I could well be wrong.ZaidAlyafey said:Hey , I am confused about the notations !
\(\displaystyle (a)_k = a(a+1)(a+2) \cdots (a+k-1)\)
\(\displaystyle (a)_k =(a;q)_k = \prod_{n=0}^{k-1} (1-aq^n)\)
The latter defines a base $q$ .
ZaidAlyafey said:How to prove the following
\(\displaystyle \lim_{q \to 1}\frac{(a;q)_{\infty}}{(aq^x;q)_{\infty}}= (1-a)^x \)
It is kind of easy to prove it for $x\in \mathbb{Z}^+$
The purpose of seeking experienced Q-Series professionals is to find individuals with specialized knowledge and skills in the Q-Series software, which is used for data analysis and simulation in various scientific fields.
The qualifications for Q-Series professionals typically include a degree in a relevant field such as mathematics, statistics, or computer science, as well as experience using the Q-Series software and knowledge of statistical analysis and data modeling.
Q-Series professionals are often sought after in industries such as finance, healthcare, pharmaceuticals, and market research, where data analysis and simulation are crucial for making informed decisions and predictions.
Some common tasks and responsibilities of Q-Series professionals include data manipulation and cleaning, creating statistical models, performing simulations, and interpreting and presenting results to stakeholders.
You can gain experience with Q-Series by taking courses or workshops offered by the software company, completing online tutorials and exercises, or working on projects that involve data analysis and simulation using Q-Series. You can also showcase your skills and experience through certifications or by including relevant projects on your resume.