Buchumschlag

Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients

By using both the Pólya theorem on the connection between the growth of an entire exponential function and the location of singularities of its Borel transform and the analog of this result for finite-order entire functions (due to Mclntyre), we obtain estimates for the indicator of the growth of an...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	1993
Hauptverfasser:	Braichev, G. G., Брайчев, Г. Г.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1993
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/5873
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

Вычисление индикатора целой функции дробного порядка по ее коэффициентам Тейлора
von: Брайчев, Г.Г.
Veröffentlicht: (1993)

On Taylor coefficients of functions of classes H1
von: V. V. Bovsunovska, et al.
Veröffentlicht: (2022)

On Taylor coefficients of functions of classes $H_1$
von: Bovsunovska , V. V., et al.
Veröffentlicht: (2022)

Exact constants in inequalities for the Taylor coefficients of bounded holomorphic functions in a polydisc
von: Yu. Meremelia, et al.
Veröffentlicht: (2015)

Exact constants in inequalities for the Taylor coefficients of bounded holomorphic functions in a polydisc
von: Meremelya, I. Yu., et al.
Veröffentlicht: (2015)

On definition of coefficient of the lowest term in the multidimensional second order hyperbolic equation
von: G. G. Ismailova
Veröffentlicht: (2019)

On the Phragmén–Lindelöf Indicator for Random Entire Functions
von: Filevych, P. V., et al.
Veröffentlicht: (2000)

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

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)

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

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

On a property of the entire dirichlet series with decreasing coefficients
von: Sheremeta, M. M., et al.
Veröffentlicht: (1993)

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

Regularity of growth of fourier coefficients of entire functions of improved regular growth
von: Khats’, R. V., et al.
Veröffentlicht: (2011)

Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms
von: Kosovtsov, Y.N.
Veröffentlicht: (2006)

Asymptotics of the logarithmic derivative of an entire function of zero order
von: Zabolotskii, N. V., et al.
Veröffentlicht: (1999)

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

On the Stability of the Maximum Term of the Entire Dirichlet Series
von: Skaskiv, O. B., et al.
Veröffentlicht: (2005)

The coefficients of power expansion and a-points of an entire function with Borel exceptional value
von: I. V. Andrusiak, et al.
Veröffentlicht: (2016)

The coefficients of power expansion and $a$-points of an entire function with Borel exceptional value
von: Andrusyak, I. V., et al.
Veröffentlicht: (2016)

Modification of the Mayer sampling method for the calculation of high-order virial coefficients
von: M. V. Ushcats
Veröffentlicht: (2014)

Modification of the Mayer sampling method for the calculation of high-order virial coefficients
von: M. V. Ushkats
Veröffentlicht: (2014)

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

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

Estimation of a K-Functional of Higher Order in Terms of a K-Functional of Lower Order
von: Radzievskaya, E. I., et al.
Veröffentlicht: (2003)

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)

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

On the mean convergence of the Taylor and Laurent series
von: R. V. Tovkach
Veröffentlicht: (2013)

Majorants of remainders of Taylor series of bounded holomorphic functions
von: Yu. Meremelia, et al.
Veröffentlicht: (2014)

Approximation of analytic functions by the partial sums of Taylor series
von: M. V. Haievskyi, et al.
Veröffentlicht: (2015)

Approximation of analytic functions by the partial sums of Taylor series
von: Gaevs'kyi, M. V., et al.
Veröffentlicht: (2015)

Approximation of holomorphic functions by Taylor-Abel-Poisson means
von: Savchuk, V. V., et al.
Veröffentlicht: (2007)

Asymptotic splitting of systems of the second order differential equations with slowly varying and oscillating coefficients
von: Kuzma, N. G., et al.
Veröffentlicht: (1988)

On finding stability and instability regions of one differential equation of the third order with periodic coefficients
von: Los, G. A., et al.
Veröffentlicht: (1966)

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)

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

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

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)

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

On Approximate Calculation of the Coefficients of Exact Penalty Functions
von: Лаптин, Юрий Петрович, et al.
Veröffentlicht: (2019)