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<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font><Font encoding="UTF-8">  qualquer das classes de fun\303\247\303\265es especiais que s\303\243o importantes em topologia, teoria de n\303\272meros e an\303\241lise. A fun\303\247\303\243o b\303\241sica em que todos os outros podem ser derivados \303\251 a fun\303\247\303\243o </Font><Hyperlink linktarget="Dictionary:Definition/entire" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">entire</Font></Hyperlink>  </Text-field>
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<Text-field style="Text" layout="Normal">em que <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> para im <Font italic="true">t </Font><Font encoding="UTF-8">&gt; 0. Quando as propriedades anal\303\255ticas est\303\243o em causa, a depend\303\252ncia sobre </Font><Font italic="true">q</Font><Font encoding="UTF-8"> \303\251 reprimida. A <Font italic="true">fun\303\247\303\243o theta especial</Font></Font> </Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">\303\251 a </Font><Hyperlink linktarget="Dictionary:Definition/generatingfunction" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">generating function</Font></Hyperlink><Font encoding="UTF-8"> da sequ\303\252ncia de </Font><Hyperlink linktarget="Dictionary:Definition/squarenumber" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">square numbers</Font></Hyperlink><Font encoding="UTF-8">. Satisfaz a not\303\241vel <Font italic="true">f\303\263rmula de transforma\303\247\303\243o theta</Font></Font>:</Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">Compare <Hyperlink linktarget="Dictionary:Definition/triple-productidentityofJacobi" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">triple product identity</Font></Hyperlink>.</Text-field>
</Worksheet>