Compositions of Dirichlet series similar to the Hadamard compositions, and convergence classes
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 1
Abstract
Let (λn) be a positive sequence increasing to +∞, m≥2 and Dirichlet series Fj(s)=∑∞n=0an,jexp{sλn} (j=1,2,…,m) have the abscissa A∈(−∞,+∞] of absolute convergence. We say that Dirichlet series F(s)=∑∞n=0anexp{sλn} like to compositions of Hadamard of Dirichlet series Fj if an=w(an,1,an,2) for all n, where w:C2→C is some function. Clearly, if w(an,1,an,2)=an,1an,2 then F is Hadamard composition of the functions F1 and F2.
Authors and Affiliations
O. Mulyava, M. Sheremeta
Keywords
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- EP ID EP584885
- DOI 10.15330/ms.51.1.25-34
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