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type
  TTrayAnimationType = (tatMinimize, tatMaximize);

function TrayAnimation (AForm: TForm; AType: TTrayAnimationType): Boolean;
var
  HandleTray: HWND;
  RectForm,
  RectTray: TRect;
begin
  result := False;

  // TNA Handle erfragen
  HandleTray := FindWindowEx (FindWindow ('Shell_TrayWnd', nil), 0, 'TrayNotifyWnd', nil);
  if (HandleTray <> 0) then
    // Positionen und Größen der Form ...
    if GetWindowRect (AForm.Handle, RectForm) then
      // ... und des TNA Bereichs erfragen
      if GetWindowRect (HandleTray, RectTray) then
        // Animation durchführen
        case AType of
          tatMinimize:
            if DrawAnimatedRects (AForm.Handle, IDANI_CAPTION, RectForm, RectTray) then
              result := True;
          tatMaximize:
            if DrawAnimatedRects (AForm.Handle, IDANI_CAPTION, RectTray, RectForm) then
              result := True;
          end;
end;                    

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procedure TForm1.Button1Click(Sender: TObject);
begin
  TrayAnimation (Self, tatMinimize);
end;

procedure TForm1.Button2Click(Sender: TObject);
begin
  TrayAnimation (Self, tatMaximize);
end;