The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros
Abstract:
Asymptotically sharp estimates for the logarithm of the maximum modulus of a canonical product are obtained in the case when the counting function of zeros has a prescribed majorant, while the arguments of the
zeros can be arbitrary.
Bibliography: 9 titles.
Keywords:entire function of finite order, proximate order, canonical product, maximum modulus of an entire function.
Fulltext:
PDF file (731 kB)
