The film, 'Jai Ho', inspired from Rahman's Oscar-winning composition of the same name, is presented by the Public Service Broadcasting Trust in partnership with External Publicity Diplomacy Division, Ministry of External Affairs and India Habitat Centre.
The documentary travels from Rahman's childhood love for tunes to his present vision for a national orchestra.
It spans more than two decades and presents the Mozart of Madras' ever-growing romance with music.
"In fact, when I first saw the film, I tried to skip it after five minutes. Also, it has the people's perspective of me... But I will be happy if someone gets inspired by seeing this. Umesh has made me appear likeable," he said.
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Rahman said that the documentary gives him an overview of how he has changed over the years.
"As a person you always evolve, I saw (in the film) how I have changed over the years.
The documentary features interviews with eminent personalities like Shekhar Kapur, Gulzar, Aamir Khan, Subhash Ghai and 'Slumdog Millionaire' director Danny Boyle, among others.
It also focuses on Rahman's establishment in the West post the film 'Bombay Dreams' and his growing popularity after the Oscar win for 'Slumdog Millionaire'.
"It took me more than six months to reach him, but just five minutes to convince him.
'Jai Ho' was previously screened in New York.