Buchumschlag

Asymptotics of the logarithmic derivative of an entire function of zero order

We find asymptotic formulas for the logarithmic derivative of a zero-order entire functionf whose zeros have an angular density with respect to the comparison function $v(r) = r^{\lambda(r)}$, where $λ(r)$ is the zero proximate order of the counting function $n(r)$ of zeros of $f$.

Gespeichert in:

Bibliographische Detailangaben
Datum:	1999
Hauptverfasser:	Zabolotskii, N. V., Заболоцький, М. В.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1999
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4580
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Logarithmic Derivative and the Angular Density of Zeros for a Zero-Order Entire Function
von: Zabolotskii, N. V., et al.
Veröffentlicht: (2014)

Entire functions of order zero with zeros on a logarithmic spiral
von: Zabolotskyi, M. V., et al.
Veröffentlicht: (2018)

Logarithmic Derivative and the Angular Density of Zeros for a Zero-Order Entire Function
von: M. V. Zabolotskyi, et al.
Veröffentlicht: (2014)

Asymptotic Behavior of Logarithmic Potential of Zero Kind
von: Zabolotskii, N. V., et al.
Veröffentlicht: (2001)

Entire functions of order zero with zeros on a logarithmic spiral
von: M. V. Zabolotskyi, et al.
Veröffentlicht: (2018)

Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero
von: Zabolotskii, N. V., et al.
Veröffentlicht: (1996)

Sufficient conditions for the existence of the $\upsilon$ -density for zeros of entire function of order zero
von: Zabolotskii, N. V., et al.
Veröffentlicht: (2016)

Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function
von: Bodnar, O. V., et al.
Veröffentlicht: (2010)

Directional logarithmic derivative and the distribution of zeros of an entire function of bounded $L$-index in the direction
von: Bandura, A. І., et al.
Veröffentlicht: (2017)

Directional logarithmic derivative and the distribution of zeros of an entire function of bounded L-index in the direction
von: A. I. Bandura, et al.
Veröffentlicht: (2017)

Polynomial Asymptotics of Entire Functions of Finite Order
von: Borova, O. I., et al.
Veröffentlicht: (2003)

Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing
von: Zabolotskii, N. V., et al.
Veröffentlicht: (2000)

Zeros and unities of the finite order entire functions
von: Sodin, M. L., et al.
Veröffentlicht: (1987)

Sufficient conditions for the existence of the -density for zeros of entire function of order zero
von: M. V. Zabolotskyi, et al.
Veröffentlicht: (2016)

Julia lines of entire functions of slow growth
von: Zabolotskii, N. V., et al.
Veröffentlicht: (2006)

Problem of osculatory interpolation in the class of entire functions of zero order
von: O. A. Bozhenko, et al.
Veröffentlicht: (2013)

A criterion for the improved regular growth of an entire function in terms of the asymptotic behavior of its logarithmic derivative in the metric of Lq|0;2π|
von: R. V. Khats
Veröffentlicht: (2023)

Asymptotic behavior of the logarithms of entire functions of improved regular growth in the metric of Lq|0, 2π|
von: R. V. Khats
Veröffentlicht: (2020)

Asymptotic behavior of the logarithms of entire functions of improved regular growth in the metric of $L^q[0,2\pi]$
von: Khats', R. V., et al.
Veröffentlicht: (2020)

Logarithms of moduli of entire functions are nowhere dense in the space of plurisubharmonic functions
von: Girnyk, M. A., et al.
Veröffentlicht: (2008)

Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables
von: Bandura, A.I., et al.
Veröffentlicht: (2018)

Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables
von: A. I. Bandura, et al.
Veröffentlicht: (2018)

On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximations by entire functions of the exponential type on the entire real axis
von: S. B. Vakarchuk
Veröffentlicht: (2017)

On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximations by entire functions of the exponential type on the entire real axis
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2017)

Asymptotic Behavior of Entire Functions with Exceptional Values in the Borel Relation
von: Filevych, P. V., et al.
Veröffentlicht: (2001)

Logarithmic asymptotics of a class of mappings
von: R. R. Salimov
Veröffentlicht: (2018)

On the Binomial Asymptotics of an Entire Dirichlet Series
von: Sheremeta, M. M., et al.
Veröffentlicht: (2001)

Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of Kᵢᵥ() with Respect to Order
von: Krynytskyi, Yuri, et al.
Veröffentlicht: (2021)

Logarithmic asymptotics of the nonlinear Cauchy – Riemann – Beltrami equation
von: Salimov , R. R., et al.
Veröffentlicht: (2021)

Logarithmic asymptotics of the nonlinear Cauchy – Riemann – Beltrami equation
von: R. R. Salimov, et al.
Veröffentlicht: (2021)

Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight
von: Conway, T.O., et al.
Veröffentlicht: (2018)

On the best polynomial approximation of entire transcendental functions of generalized order
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2008)

Logarithmic derivatives of diffusion measures in a Hilbert space
von: Bondarenko, V. G., et al.
Veröffentlicht: (2000)

McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
von: Gil, Amparo, et al.
Veröffentlicht: (2024)

On the Relationship Between the Rate of Polynomial Approximation of an Entire Function and its Order and Type
von: Dveirin, M. Z., et al.
Veröffentlicht: (2015)

On the admissible asymptotic behavior of the functions with zero integrals over the geodesic lines on a sphere
von: V. V. Volchkov, et al.
Veröffentlicht: (2014)

On the Relationship Between the Rate of Polynomial Approximation of an Entire Function and its Order and Type
von: M. Z. Dveirin
Veröffentlicht: (2015)

Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients
von: Braichev, G. G., et al.
Veröffentlicht: (1993)

Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions
von: Chyzhykov, I., et al.
Veröffentlicht: (2017)

Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions
von: I. Chyzhykov, et al.
Veröffentlicht: (2017)