André Previn, who blurred the boundaries between jazz, pop and classical music — and between composing, conducting and performing — in an extraordinarily eclectic, award-filled career, died Thursday morning at his home in Manhattan. He was 89. His death was confirmed by his manager, Linda Petrikova. Mr. Previn wrote or arranged the music for several dozen movies and was the only person in the history of the Academy Awards to receive three nominations in one year (1961, for the scores for “Elmer Gantry” and “Bells Are Ringing” and the song “Faraway Part of Town” from the comedy “Pepe”).