DLMF:18.27.E24 (Q5975)

From DRMF

Revision as of 01:52, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:18.27.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{\ell=-\infty}^{\infty}\left(\tilde{h}_{n}% \left(cq^{\ell};q\right)\tilde{h}_{m}\left(cq^{\ell};q\right)+\tilde{h}_{n}% \left(-cq^{\ell};q\right)\tilde{h}_{m}\left(-cq^{\ell};q\right)\right)\frac{q^% {\ell}}{\left(-c^{2}q^{2\ell};q^{2}\right)_{\infty}}=2\frac{\left(q^{2},-c^{2}% q,-c^{-2}q;q^{2}\right)_{\infty}}{\left(q,-c^{2},-c^{-2}q^{2};q^{2}\right)_{% \infty}}\frac{\left(q;q\right)_{n}}{q^{n^{2}}}\delta_{n,m},}}

0 references

DLMF:18.27.E24

0 references

{\displaystyle{\displaystyle c>0}}

0 references

Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5ahdec

0 references

discrete $$q$$ -Hermite II polynomial

Defining formula

{\displaystyle{\displaystyle\tilde{h}_{\NVar{n}}\left(\NVar{x};\NVar{q}\right)}}

C18.S27.E23.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2ajdec

0 references

Defining formula

{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

C17.S2.SS1.p1.m6acdec

0 references

Defining formula

{\displaystyle{\displaystyle q}}

C18.S1.XMD3.m1vdec

0 references

Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1fdec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1hdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5975&oldid=35362"