Difference between revisions of "Ramanujan theta function"
From specialfunctionswiki
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Let $|ab|<1$. The Ramanujan theta function $f$ is defined by | Let $|ab|<1$. The Ramanujan theta function $f$ is defined by | ||
| − | $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{ | + | $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{k(k+1)}{2}} b^{\frac{k(k-1)}{2}}.$$ |
| + | |||
| + | =Properties= | ||
| + | |||
| + | =References= | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 15:59, 10 July 2017
Let $|ab|<1$. The Ramanujan theta function $f$ is defined by $$f(a,b)=\displaystyle\sum_{k=-\infty}^{\infty} a^{\frac{k(k+1)}{2}} b^{\frac{k(k-1)}{2}}.$$
