He obtained the fundamental results concerning non-harmonic Fourier series and operators preserving inequalities in various classes of entire functions of exponential type.

Akhiezer, he discovered a relation between extremal problems of the theory of entire functions and conformal transformations onto canonical domains.

In 1956, Boris Yakovlevich published his monograph "Distribution of zeros of entire functions", which was translated into German and English, and which is, to the present day, the handbook for many professionals working in different areas of mathematics.

In 1997 a Boris Levin memorial conference "Entire Functions in Modern Analysis" was held at Tel-Aviv University.

[4] In September 1997 an international seminar dedicated to the memory of Boris Levin was organized by Institute for Low Temperature Physics and Engineering.