diff --git a/source/numerics.tex b/source/numerics.tex
index 5a77333057..a06097cace 100644
--- a/source/numerics.tex
+++ b/source/numerics.tex
@@ -17305,59 +17305,62 @@
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> comp_ellint_3(const V& k, const V& nu);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> comp_ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> comp_ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const V& nu);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> comp_ellint_3(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> comp_ellint_3(const V& k, const @\exposid{deduced-vec-t}@<V>& nu);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const V& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const V& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const V& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> cyl_neumann(const V& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_neumann(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> cyl_neumann(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> cyl_neumann(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> cyl_neumann(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> ellint_1(const V& k, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_1(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> ellint_1(const @\exposid{deduced-vec-t}@<V>& k, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_1(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> ellint_1(const V& k, const @\exposid{deduced-vec-t}@<V>& phi);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> ellint_2(const V& k, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_2(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+    @\exposid{deduced-vec-t}@<V> ellint_2(const @\exposid{deduced-vec-t}@<V>& k, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_2(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+    @\exposid{deduced-vec-t}@<V> ellint_2(const V& k, const @\exposid{deduced-vec-t}@<V>& phi);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const V& nu, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const V& y, const V& z);
+    @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const V& nu, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_3(const V& x, const @\exposid{deduced-vec-t}@<V>& y, const V& z);
+    @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const @\exposid{deduced-vec-t}@<V>& nu, const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_3(const V& x, const V& y, const @\exposid{deduced-vec-t}@<V>& z);
+    @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const V& nu, const @\exposid{deduced-vec-t}@<V>& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const @\exposid{deduced-vec-t}@<V>& y, const V& z);
+    @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const @\exposid{deduced-vec-t}@<V>& nu,
+                             @\itcorr@ const V& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const V& y, const @\exposid{deduced-vec-t}@<V>& z);
+    @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const V& nu,
+                             @\itcorr@ const @\exposid{deduced-vec-t}@<V>& phi);
   template<@\exposconcept{math-floating-point}@ V>
-    @\exposid{deduced-vec-t}@<V> ellint_3(const V& x, const @\exposid{deduced-vec-t}@<V>& y, const @\exposid{deduced-vec-t}@<V>& z);
+    @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const @\exposid{deduced-vec-t}@<V>& nu,
+                             @\itcorr@ const @\exposid{deduced-vec-t}@<V>& phi);
   template<@\exposconcept{math-floating-point}@ V> @\exposid{deduced-vec-t}@<V> expint(const V& x);
   template<@\exposconcept{math-floating-point}@ V>
     @\exposid{deduced-vec-t}@<V> hermite(const rebind_t<unsigned, @\exposid{deduced-vec-t}@<V>>& n, const V& x);
@@ -20289,59 +20292,59 @@
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> comp_ellint_3(const V& k, const V& nu);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> comp_ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> comp_ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const V& nu);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> comp_ellint_3(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> comp_ellint_3(const V& k, const @\exposid{deduced-vec-t}@<V>& nu);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const V& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> cyl_bessel_i(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const V& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> cyl_bessel_j(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const V& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> cyl_bessel_k(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> cyl_neumann(const V& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_neumann(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> cyl_neumann(const @\exposid{deduced-vec-t}@<V>& nu, const V& x);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> cyl_neumann(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> cyl_neumann(const V& nu, const @\exposid{deduced-vec-t}@<V>& x);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> ellint_1(const V& k, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_1(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> ellint_1(const @\exposid{deduced-vec-t}@<V>& k, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_1(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> ellint_1(const V& k, const @\exposid{deduced-vec-t}@<V>& phi);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> ellint_2(const V& k, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_2(const @\exposid{deduced-vec-t}@<V>& x, const V& y);
+  @\exposid{deduced-vec-t}@<V> ellint_2(const @\exposid{deduced-vec-t}@<V>& k, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_2(const V& x, const @\exposid{deduced-vec-t}@<V>& y);
+  @\exposid{deduced-vec-t}@<V> ellint_2(const V& k, const @\exposid{deduced-vec-t}@<V>& phi);
 template<@\exposconcept{math-floating-point}@ V>
   @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const V& nu, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const V& y, const V& z);
+  @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const V& nu, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_3(const V& x, const @\exposid{deduced-vec-t}@<V>& y, const V& z);
+  @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const @\exposid{deduced-vec-t}@<V>& nu, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_3(const V& x, const V& y, const @\exposid{deduced-vec-t}@<V>& z);
+  @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const V& nu, const @\exposid{deduced-vec-t}@<V>& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const @\exposid{deduced-vec-t}@<V>& y, const V& z);
+  @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const @\exposid{deduced-vec-t}@<V>& nu, const V& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& x, const V& y, const @\exposid{deduced-vec-t}@<V>& z);
+  @\exposid{deduced-vec-t}@<V> ellint_3(const @\exposid{deduced-vec-t}@<V>& k, const V& nu, const @\exposid{deduced-vec-t}@<V>& phi);
 template<@\exposconcept{math-floating-point}@ V>
-  @\exposid{deduced-vec-t}@<V> ellint_3(const V& x, const @\exposid{deduced-vec-t}@<V>& y, const @\exposid{deduced-vec-t}@<V>& z);
+  @\exposid{deduced-vec-t}@<V> ellint_3(const V& k, const @\exposid{deduced-vec-t}@<V>& nu, const @\exposid{deduced-vec-t}@<V>& phi);
 template<@\exposconcept{math-floating-point}@ V> @\exposid{deduced-vec-t}@<V> expint(const V& x);
 template<@\exposconcept{math-floating-point}@ V> @\exposid{deduced-vec-t}@<V> riemann_zeta(const V& x);
 \end{itemdecl}