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Display information for equation id:KLS:01.15:09 on revision:1996

* Page found: The q-derivative and q-integral (eq KLS:01.15:09)

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TeX (original user input): 

{\displaystyle 
\int_0^{\infty}f(t)\,d_qt:=(1-q)\sum_{n=-\infty}^{\infty}f(q^n)q^n
}

TeX (checked): 

{\displaystyle \int _{0}^{\infty }f(t)\,d_{q}t:=(1-q)\sum _{n=-\infty }^{\infty }f(q^{n})q^{n}}

LaTeXML (experimental; uses MathML) rendering

MathML (9.087 KB / 1.447 KB) :

∫ 0 ∞ f ⁢ ( t ) ⁢ d q ⁢ t := ( 1 - q ) ⁢ ∑ n = - ∞ ∞ f ⁢ ( q n ) ⁢ q n assign superscript subscript 0 𝑓 𝑡 subscript 𝑑 𝑞 𝑡 1 𝑞 superscript subscript 𝑛 𝑓 superscript 𝑞 𝑛 superscript 𝑞 𝑛 {\displaystyle{\displaystyle{\displaystyle\int_{0}^{\infty}f(t)\,d_{q}t:=(1-q)% \sum_{n=-\infty}^{\infty}f(q^{n})q^{n}}}} 
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∫ 0 ∞ f ( t ) d q t := ( 1 − q ) ∑ n = − ∞ ∞ f ( q n ) q n {\displaystyle {\displaystyle \int _{0}^{\infty }f(t)\,d_{q}t:=(1-q)\sum _{n=-\infty }^{\infty }f(q^{n})q^{n}}} 
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{\displaystyle {\displaystyle \int _{0}^{\infty }f(t)\,d_{q}t:=(1-q)\sum _{n=-\infty }^{\infty }f(q^{n})q^{n}}}

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