  Let $V$ denote a vector space with finite positive dimension, and let $(A,B)$
denote a Leonard pair on $V$. As is known, the linear transformations $A,B$
satisfy the Askey-Wilson relations A^2B -bABA +BA^2 -g(AB+BA) -rB = hA^2 +wA
+eI,
  B^2A -bBAB +AB^2 -h(AB+BA) -sA = gB^2 +wB +fI, for some scalars
$b,g,h,r,s,w,e,f$. The scalar sequence is unique if the dimension of $V$ is at
least 4. If $c,c*,t,t*$ are scalars and $t,t*$ are not zero, then
$(tA+c,t*B+c*)$ is a Leonard pair on $V$ as well. These affine transformations
can be used to bring the Leonard pair or its Askey-Wilson relations into a
convenient form. This paper presents convenient normalizations of Leonard pairs
by the affine transformations, and exhibits explicit Askey-Wilson relations
satisfied by them.
