Chronic Cough. Cough and farting?

1. I came to Bangalore one year before, first 3 months I was fine, later on wards I got affected with cough 2. after certain amount of time, I got little bit layer of blood when I cough in the morning time. 3. I met couple of doctors in multi specialty hospitals, they said it's due to heavy cough your throat got infected very badly and suggested medicines and done lung test and blood test and said nothing to worry. it came due to pollution. 4. I used all medicines and cough got reduced but still I'm getting blood when I cough in the morning time (very small amount) and rest of the day though I cough I didn't get blood. 5. I also have farting problem since one year. Is there any relation between cough and farting? Please help me to get rid of my issues