Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth | Zendy

M. R. Mostova | Zendy; M.V. Zabolotskyj | Zendy

Open Access

Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

Author(s) -

M. R. Mostova,

M.V. Zabolotskyj

Publication year - 2015

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.7.2.209-214

Subject(s) - mathematics , logarithm , zero (linguistics) , logarithmic derivative , pi , entire function , convergence (economics) , order (exchange) , function (biology) , metric (unit) , derivative (finance) , mathematical analysis , geometry , philosophy , linguistics , operations management , finance , evolutionary biology , financial economics , economics , biology , economic growth

The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its logarithmic derivative.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research