2001 Jaguar S-Type Help

Hello! I beg you to answer a specialist my question. I have a car Jaguar S-Type VIN (SAJDA01N91FL94526), recently opened a disease such. In the morning the machine clearly works, but at first when I translate the lever automatic transmission on any of the provisions of (D, R, 1, 2, 3), the car does not move from the spot, ie the transmission is not responding. Only after I click on the gas pedal several times in the position (P) with prolonged handbrake, something is triggered and the automatic transmission starts to react and work in all situations without any problems after short stops. And if the machine will stand even 3.4 hours, the problem arises again and again the same thing be done on the new. Add that advised to change the transmission oil and filter and the alleged problem will disappear. I did, changed the ATF and filter, the level of ATF is normal, but everything remained as before. I will also say that sometimes even after a long parking lot of the problem does not occur and the machine normally budge, but it happens rarely. And in general, the gearshift occur fairly smoothly, without strong shocks and jerks. Weácan please, what could be the cause of this problem and how to build?