DLMF:17.3.E2 (Q5342): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: $$q$$ -exponential function / rank
 
Normal rank

Revision as of 16:20, 30 December 2019

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DLMF:17.3.E2
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    E q ( x ) = n = 0 ( 1 - q ) n q ( n 2 ) x n ( q ; q ) n = ( - ( 1 - q ) x ; q ) . q-Exp 𝑞 𝑥 superscript subscript 𝑛 0 superscript 1 𝑞 𝑛 superscript 𝑞 binomial 𝑛 2 superscript 𝑥 𝑛 q-Pochhammer-symbol 𝑞 𝑞 𝑛 q-Pochhammer-symbol 1 𝑞 𝑥 𝑞 {\displaystyle{\displaystyle E_{q}\left(x\right)=\sum_{n=0}^{\infty}\frac{(1-q% )^{n}q^{\genfrac{(}{)}{0.0pt}{}{n}{2}}x^{n}}{\left(q;q\right)_{n}}=\left(-(1-q% )x;q\right)_{\infty}.}}
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