If you are having a textbox control in the panel you can set the focus to that control(if you are redirecting to same page).
You can also use a javascript to scroll to that position.
<asp:Button runat="server" ID="btn1" OnClientClick="pageScroll()" Text="Button" />
<script type="text/javascript">
function pageScroll() {
window.scrollBy(0,50);
}
</script>
make visible a Panel That is at of end page
Hope the panel is not hidden and you want to scroll down to the panel.
If the button is used only to scroll down to the panel then you can use an anchor tag to scroll to the required position.
<a href="#link1">Position1</a>
Place
<a name="link1">
this in the panel or where you want to scroll.