Bellman is the author of The ‘Style hongrois’ in the Music of Western Europe (Boston: Northeastern University Press, 1993, ISBN 1-55553-169-5) and editor of The Exotic in Western Music (Northeastern University Press, 1997, ISBN 1-55553-319-1), a collection of essays. His contributions to that volume, "Hungarian Gypsies and the poetics of exclusion" and "Indian resonances in the British Invasion, 1965-1968," are cited in musicological literature.
He has written numerous articles on topics related to music and exoticism in periodicals such as the Journal of Musicological Research, Early Music, 19th-Century Music, and the Pendragon Review. His articles and books have received citations in indicator-databases such as Grove Music Online, Music Index, and RILM.
His book A Short Guide to Writing About Music (New York: Pearson Longman, 2000, 2nd edn 2007, ISBN 0-321-18791-1) is used in the field of music history pedagogy.
He currently participates in the musicology blog "Dial 'M' for Musicology."