Ueda - Extension of tetration to real and complex heights
#1
Hi, sometimes I check Google Scholar and Arxiv in order to be updated for new papers in our field and it seems that this extension from Takeji Ueda totally avoided my radar.

https://arxiv.org/pdf/2105.00247.pdf

To be honest  I didn't have time to give it more than a quick look. It actually reminds me a lot of that approach with q-analogs worked out by Vladimir Reshetnikov in 2017. I remember Daniel and James being somehow active on those MO questions so they know better than me for sure. I didn't see any reference to those MO conversations, only to the older Hooshmand, Kouznetzov and Paulsen-Cowjill.  So I can't conclude if original results are presented or the author just grabbed ideas in the air and polished the details and completed the proofs. I post here the link for future references.

MSE MphLee
Mother Law \((\sigma+1)0=\sigma (\sigma+1)\)
S Law \(\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)\)
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Ueda - Extension of tetration to real and complex heights - by MphLee - 12/01/2021, 09:02 PM

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