ag-gipp/GoUldI

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data/mathtoweb/173.mml

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<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msubsup><mi>P</mi><mrow><mi>n</mi><mo>-</mo><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow><mi>m</mi></msubsup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>cosh</mi><mi>&#x003BE;</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mo>=</mo><mfrac linethickness="1"><mrow><mi>&#x00393;</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>n</mi><mo>+</mo><mi>m</mi><mo>+</mo><mstyle scriptlevel="0" displaystyle="false"><mrow><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow></mstyle><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow></mrow><mrow><mi>&#x00393;</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>n</mi><mo>-</mo><mi>m</mi><mo>+</mo><mstyle scriptlevel="0" displaystyle="false"><mrow><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow></mstyle><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow></mrow></mfrac><msup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mfrac linethickness="1"><mn>2</mn><mrow><mi>&#x003C0;</mi><mi>sinh</mi><mi>&#x003BE;</mi></mrow></mfrac><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mrow><mn>1</mn><mo>&#x0002F;</mo><mn>2</mn></mrow></msup><msubsup><mrow><mi mathvariant="bold">Q</mi></mrow><mrow><mi>m</mi><mo>-</mo><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow><mi>n</mi></msubsup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>coth</mi><mi>&#x003BE;</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow></mrow></math>