Add files via upload

2026-05-20 05:17:34 +00:00 · 2021-11-11 21:34:46 -08:00
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+//  y-cruncher Custom Formula File
+//
+//  This can be loaded directly from the Custom Compute menu or
+//  entered from the command line as "custom:filename".
+//
+//      y-cruncher custom custom:"constant - algorithm"
+//
+//
+//    Author:  Alexander J. Yee
+//    Date:    February 22, 2019
+//
+//    Value: 1.12878702990812596126090109025884201332678744166475...
+//
+//    Sources:
+//        http://arblib.org/gamma.html
+//        http://iamned.com/math/infiniteseries.pdf
+//
+
+{
+    NameShort : "Gamma(⅚)"
+    NameLong : "Gamma(5/6)"
+    AlgorithmShort : "Series-Pi (Brown)"
+    AlgorithmLong : "Series-Pi (Brown 2009)"
+    Formula : {
+        InvNthRoot : [
+            3
+            {Multiply : [
+                {SeriesHypergeometric : {
+                    CoefficientP : 27
+                    CoefficientQ : 27
+                    CoefficientD : 1
+                    PolynomialP : [-5 46 -108 72]
+                    PolynomialQ : [0 0 0 -512000]
+                    PolynomialR : [-5 46 -108 72]
+                }}
+                {Invsqrt : {LinearCombination : [[
+                    480
+                    {Pi : {}}
+                ]]}}
+            ]}
+        ]
+    }
+}