Open AccessOn Hadamard composition of Gelfond-Leont'ev derivatives of entire and analytic functions in the unit disk
Author(s) -
O. M. Mulyava,
М. М. Sheremeta
Publication year - 2021
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.13.1.98-109
Subject(s) - hadamard transform , unit disk , composition (language) , mathematics , function (biology) , pure mathematics , mathematical analysis , biology , philosophy , linguistics , evolutionary biology
For an entire function and an analytic in the unit disk function the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders. A relationship between the behaviors of the maximal terms of Hadamard composition of Gelfond-Leont'ev derivatives and of the Gelfond-Leont'ev derivative of Hadamard composition is established.