ag-gipp/GoUldI

<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><mi>F</mi><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mi>a</mi><mo>;</mo><mi>a</mi><mo lspace="verythinmathspace" rspace="0em">+</mo><mn>1</mn><mo>;</mo><mo>−</mo><mn>1</mn><mo>)</mo></mrow><mo>=</mo><mstyle displaystyle="false"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>a</mi><mrow><mo>(</mo><mi>ψ</mi><mrow><mo>(</mo><mstyle displaystyle="false"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>a</mi><mo>+</mo><mstyle displaystyle="false"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mo>)</mo></mrow><mo>−</mo><mi>ψ</mi><mrow><mo>(</mo><mstyle displaystyle="false"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>a</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>F\left(1,a;a+1;-1\right)=\tfrac{1}{2}a\left(\psi\left(\tfrac{1}{2}a+\tfrac{1}{2}\right)-\psi\left(\tfrac{1}{2}a\right)\right)</annotation></semantics></math>