Original question in Spanish

La integral de Jackson está definida en el cálculo cuántico, y quisiera que alguien me ayudara a la explicación de un ejemplo de este estilo de integrales. Gracias



The Jackson integral is defined in quantum calculus, and I would like for someone to help me with an explanation of an example of this style of integral. Thanks

  • 2
    $\begingroup$ That's not accurate, @vonbrand. Many askers along time have been encouraged to write down their questions in their own language if they have some problem understanding english, hoping someone understands them and the problem and can help them. I know spanish, for example, yet I've no idea what that integral could possibly be... $\endgroup$ – DonAntonio Apr 15 '13 at 2:59
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    $\begingroup$ Maybe sajm.com.nu/sajm2012_2_5_1sulaiman.pdf and arxiv.org/pdf/math-ph/0610079.pdf $\endgroup$ – Amzoti Apr 15 '13 at 3:07
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    $\begingroup$ @Amzoti, is it possible the phrase "calculo cuantico" refers to "Quantum Calculus," as in the book by Victor Kac? $\endgroup$ – Will Jagy Apr 15 '13 at 3:34
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    $\begingroup$ @WillJagy: noted in update. Thanks for cross-verifying - regards. $\endgroup$ – Amzoti Apr 15 '13 at 3:47
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    $\begingroup$ @AdriánBarquero: thank you - this is what I truly love about MSE, a community of people helping to provide the best solutions and guidance! Regards $\endgroup$ – Amzoti Apr 15 '13 at 4:06

It appears the responsible thing to do is to recommend the book by KAC and CHEUNG and the papers that Amzoti and I found online, in comments. The book is a reference in all the articles, so I think it's a winner. The article I found is KAC DE SOLE. Meanwhile, it appears the Jackson integral is rather simpler than the later Feynman-Jackson integral. Indeed, the two of them have a million articles together, see ALBERTO DE SOLE

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    $\begingroup$ until we hear anything further, this is about as good as it will get! +1 Regards $\endgroup$ – Amzoti Apr 15 '13 at 20:59
  • $\begingroup$ @Amzoti, maybe you're right. I just got caught up in the thing. $\endgroup$ – Will Jagy Apr 15 '13 at 21:03
  • $\begingroup$ Just for curiosity: why the caps? $\endgroup$ – Matemáticos Chibchas Jan 29 '14 at 0:38
  • $\begingroup$ @MatemáticosChibchas, not entirely sure, although it seems that there was a bit of difficulty communicating with the person asking, so i believe I added capital letters as a way of drawing attention. I can't say it made any difference, the OP posted nothing whatsoever after the initial question. If someone has trouble with English but comes back and puts some effort into communicating, they will probably get some useful information. $\endgroup$ – Will Jagy Jan 29 '14 at 0:52

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