1 files changed, 27 insertions, 0 deletions
diff --git a/buch/papers/0f1/listings/kettenbruchRekursion.c b/buch/papers/0f1/listings/kettenbruchRekursion.c
new file mode 100644
index 0000000..3caaf43
--- /dev/null
+++ b/buch/papers/0f1/listings/kettenbruchRekursion.c
@@ -0,0 +1,27 @@
+/**
+  * @brief Calculates the Hypergeometric Function 0F1(;c;z)
+  * @param c in 0F1(;c;z)
+  * @param z in 0F1(;c;z)
+  * @param k number of itertions (precision)
+  * @return Result
+  */
+static double fractionIter0f1(const double c, const double z, unsigned int k)
+{
+    //declaration
+    double a = 0.0;
+    double b = 0.0;
+    double abk = 0.0;
+    double temp = 0.0;
+
+    for (; k > 0; --k)
+    {
+        abk = z / (k * ((k - 1) + c));  //abk = ak, bk
+        
+        a = k > 1 ? (1 + abk) : 1;      //a0, a1
+        b = k > 1 ? -abk : abk;         //b1
+
+        temp = b / (a + temp);          //bk / (ak + last result)
+    }
+
+    return a + temp;                    //a0 + temp
+}
+\ No newline at end of file