Formula:KLS:14.02:49: Difference between revisions

From DRMF
Jump to navigation Jump to search
imported>SeedBot
DRMF
 
m Move page script moved page Formula:KLS:14.02:49 to F:KLS:14.02:49
 
(One intermediate revision by one other user not shown)
(No difference)

Latest revision as of 08:36, 22 December 2019


R n ( x ; α , β , q - N - 1 , δ | q ) = ( β q , α δ - 1 q ; q ) n ( α q , β δ q ; q ) n δ n R n ( δ - 1 x ; β , α , q - N - 1 , δ - 1 | q ) q-Racah-polynomial-R 𝑛 𝑥 𝛼 𝛽 superscript 𝑞 𝑁 1 𝛿 𝑞 q-Pochhammer-symbol 𝛽 𝑞 𝛼 superscript 𝛿 1 𝑞 𝑞 𝑛 q-Pochhammer-symbol 𝛼 𝑞 𝛽 𝛿 𝑞 𝑞 𝑛 superscript 𝛿 𝑛 q-Racah-polynomial-R 𝑛 superscript 𝛿 1 𝑥 𝛽 𝛼 superscript 𝑞 𝑁 1 superscript 𝛿 1 𝑞 {\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(x;\alpha,\beta,q^{-N-1% },\delta\,|\,q\right)=\frac{\left(\beta q,\alpha\delta^{-1}q;q\right)_{n}}{% \left(\alpha q,\beta\delta q;q\right)_{n}}\delta^{n}R_{n}\!\left(\delta^{-1}x;% \beta,\alpha,q^{-N-1},\delta^{-1}\,|\,q\right)}}}

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

R n subscript 𝑅 𝑛 {\displaystyle{\displaystyle{\displaystyle R_{n}}}}  : q 𝑞 {\displaystyle{\displaystyle{\displaystyle q}}} -Racah polynomial : http://dlmf.nist.gov/18.28#E19
( a ; q ) n subscript 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}  : q 𝑞 {\displaystyle{\displaystyle{\displaystyle q}}} -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

Bibliography

Equation in Section 14.2 of KLS.

URL links

We ask users to provide relevant URL links in this space.