Updated BesselZeros.ipynb

Author: HaraldHofstaetter

examples/BesselZeros.ipynb

@@ -127,7 +127,7 @@
     "Let $j_{\\nu,m}'$ denote the $m$th zero of the derivative $J_\\nu'(z)$.\n",
     "Asymptotically it holds\n",
     "\n",
-    "$$\\mathop{j_{\\nu,m}}\\nolimits',\\mathop{y_{\\nu,m}}\\nolimits'\\sim b-\\frac{\\mu+%\n",
+    "$$\\mathop{j_{\\nu,m}}\\nolimits'\\sim b-\\frac{\\mu+%\n",
     "3}{8b}-\\frac{4(7\\mu^{2}+82\\mu-9)}{3(8b)^{3}}-\\frac{32(83\\mu^{3}+2075\\mu^{2}-30%\n",
     "39\\mu+3537)}{15(8b)^{5}}-\\frac{64(6949\\mu^{4}+2\\;96492\\mu^{3}-12\\;48002\\mu^{2}%\n",
     "+74\\;14380\\mu-58\\;53627)}{105(8b)^{7}}-\\cdots,$$\n",
@@ -277,7 +277,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "First we use __BigFloat__ with precision 113 bits, exactly the precison of Flot128:"
+    "First we use __BigFloat__ with precision 113 bits, exactly the precison of Float128:"
    ]
   },
   {
@@ -561,7 +561,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Next we do the same as above with the zeros of the derivatives of the Bessel functions."
+    "Now we do the same as above with the zeros of the derivatives of the Bessel functions."
    ]
   },
   {
@@ -701,11 +701,22 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 21,
    "metadata": {
     "collapsed": false
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "4.85294980909585503117445493628658640e-13"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "maximum((j1_f128-j1_f64)./j1_f128)"
    ]