You need to rewrite form.html
knockout template of Magento_Checkout
in your theme.
app\design\frontend\Vendorname\Themename\Magento_Checkout\web\template\billing-address\form.html
replace below div
<div class="billing-address-form" data-bind="fadeVisible: isAddressFormVisible">
to
<div class="billing-address-form" data-bind="fadeVisible: isAddressFormVisible, afterRender: renderedHandler">
Rewrite billing-address.js in your theme
app\design\frontend\Vendorname\Themename\Magento_Checkout\web\js\view\billing-address.js
add below function in above js file
/**
* after form render handler
*
*/
renderedHandler: function (elements, data) {
//add your custom js code here
}