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Created page with "<div style="font-size:30px">'''GFUNCTION (Number)'''</div><br/> *<math>Number</math> is any positive real number. ==Description== *This function shows the value of the Barne..."
<div style="font-size:30px">'''GFUNCTION (Number)'''</div><br/>
*<math>Number</math> is any positive real number.
==Description==
*This function shows the value of the Barnes G-function value.
*In <math>GFUNCTION (Number)</math>,<math>Number</math> is any real number.
*<math>G(z)</math> is a function that is an extension of super factorials to the complex numbers.
*It is related to the Gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes.
*According to elementary factors, it is a special case of the double gamma function.
*Formally, the Barnes G-function is defined in the following Weierstrass product form:
<math>G(1+z)={(2\pi)}^\frac{z}{2}</math>
*<math>Number</math> is any positive real number.
==Description==
*This function shows the value of the Barnes G-function value.
*In <math>GFUNCTION (Number)</math>,<math>Number</math> is any real number.
*<math>G(z)</math> is a function that is an extension of super factorials to the complex numbers.
*It is related to the Gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes.
*According to elementary factors, it is a special case of the double gamma function.
*Formally, the Barnes G-function is defined in the following Weierstrass product form:
<math>G(1+z)={(2\pi)}^\frac{z}{2}</math>