Polynomial Asymptotics of Entire Functions of Finite Order
We obtain new asymptotic relations for entire functions of finite order with zeros on a ray under the condition of regular growth for the counting function of their zeros. These relations improve the well-known results of Valiron.
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | Borova, O. I., Zabolotskii, N. V., Боровая, О. И., Заболоцкий, М. В. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3948 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Asymptotics of the logarithmic derivative of an entire function of zero order
by: Zabolotskii, N. V., et al.
Published: (1999)
by: Zabolotskii, N. V., et al.
Published: (1999)
Zeros and unities of the finite order entire functions
by: Sodin, M. L., et al.
Published: (1987)
by: Sodin, M. L., et al.
Published: (1987)
On the Polynomial Asymptotics of Subharmonic Functions of Finite Order and their Mass Distributions
by: Azarin, V.
Published: (2007)
by: Azarin, V.
Published: (2007)
On the best polynomial approximation of entire transcendental functions of generalized order
by: Vakarchuk, S. B., et al.
Published: (2008)
by: Vakarchuk, S. B., et al.
Published: (2008)
Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero
by: Zabolotskii, N. V., et al.
Published: (1996)
by: Zabolotskii, N. V., et al.
Published: (1996)
Entire functions of order zero with zeros
on a logarithmic spiral
by: Zabolotskyi, M. V., et al.
Published: (2018)
by: Zabolotskyi, M. V., et al.
Published: (2018)
On the Relationship Between the Rate of Polynomial Approximation of an Entire Function and its Order and Type
by: Dveirin, M. Z., et al.
Published: (2015)
by: Dveirin, M. Z., et al.
Published: (2015)
Logarithmic Derivative and the Angular Density of Zeros for a Zero-Order Entire Function
by: Zabolotskii, N. V., et al.
Published: (2014)
by: Zabolotskii, N. V., et al.
Published: (2014)
Sufficient conditions for the existence of the $\upsilon$ -density for zeros of entire function of order zero
by: Zabolotskii, N. V., et al.
Published: (2016)
by: Zabolotskii, N. V., et al.
Published: (2016)
On the approximation of functions by polynomials and entire functions
of exponential type
by: Trigub, R. M., et al.
Published: (2019)
by: Trigub, R. M., et al.
Published: (2019)
Julia lines of entire functions of slow growth
by: Zabolotskii, N. V., et al.
Published: (2006)
by: Zabolotskii, N. V., et al.
Published: (2006)
On the Relationship Between the Rate of Polynomial Approximation of an Entire Function and its Order and Type
by: M. Z. Dveirin
Published: (2015)
by: M. Z. Dveirin
Published: (2015)
On Some Problems of Polynomial Approximation of Entire Transcendental Functions
by: Vakarchuk, S. B., et al.
Published: (2002)
by: Vakarchuk, S. B., et al.
Published: (2002)
On the approximation of functions by polynomials and entire functions of exponential type
by: R. M. Trigub
Published: (2019)
by: R. M. Trigub
Published: (2019)
Asymptotic Behavior of Entire Functions with Exceptional Values in the Borel Relation
by: Filevych, P. V., et al.
Published: (2001)
by: Filevych, P. V., et al.
Published: (2001)
Generalization of the fricke theorem on entire functions of finite index
by: Sheremeta, M. M., et al.
Published: (1996)
by: Sheremeta, M. M., et al.
Published: (1996)
On uniform approximations of almost periodic functions by entire functions of finite degree
by: Timan, M. F., et al.
Published: (1995)
by: Timan, M. F., et al.
Published: (1995)
Approximations of entire functions by polynomials of the best standard approximation
by: V. A. Voitovych
Published: (2017)
by: V. A. Voitovych
Published: (2017)
Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function
by: Bodnar, O. V., et al.
Published: (2010)
by: Bodnar, O. V., et al.
Published: (2010)
On the Binomial Asymptotics of an Entire Dirichlet Series
by: Sheremeta, M. M., et al.
Published: (2001)
by: Sheremeta, M. M., et al.
Published: (2001)
Сферическая производная и пикаровские множества целых функций
by: Заболоцкий, Н.В.
Published: (1989)
by: Заболоцкий, Н.В.
Published: (1989)
О росте неванлинновских характеристик мероморфных функций нулевого рода
by: Заболоцкий, Н.В.
Published: (1987)
by: Заболоцкий, Н.В.
Published: (1987)
On the best polynomial approximation of entire transcendental functions in Banach spaces. II
by: Vakarchuk, S. B., et al.
Published: (1994)
by: Vakarchuk, S. B., et al.
Published: (1994)
On the best polynomial approximation of entire transcendental functions in banach spaces. I
by: Vakarchuk, S. B., et al.
Published: (1994)
by: Vakarchuk, S. B., et al.
Published: (1994)
Problem of osculatory interpolation in the class of entire functions of zero order
by: O. A. Bozhenko, et al.
Published: (2013)
by: O. A. Bozhenko, et al.
Published: (2013)
Entire functions of order zero with zeros on a logarithmic spiral
by: M. V. Zabolotskyi, et al.
Published: (2018)
by: M. V. Zabolotskyi, et al.
Published: (2018)
On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces
by: Vakarchuk, S. B., et al.
Published: (2014)
by: Vakarchuk, S. B., et al.
Published: (2014)
Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing
by: Zabolotskii, N. V., et al.
Published: (2000)
by: Zabolotskii, N. V., et al.
Published: (2000)
On the finiteness of the l-R-index of entire functions represented by series in а system of functions
by: M. Sheremeta
Published: (2024)
by: M. Sheremeta
Published: (2024)
Approximation by interpolation trigonometric polynomials in metrics of the spaces Lp on the classes of periodic entire functions
by: A. S. Serdiuk, et al.
Published: (2019)
by: A. S. Serdiuk, et al.
Published: (2019)
On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
by: Motornaya, O. V., et al.
Published: (2000)
by: Motornaya, O. V., et al.
Published: (2000)
Sufficient conditions for the existence of the -density for zeros of entire function of order zero
by: M. V. Zabolotskyi, et al.
Published: (2016)
by: M. V. Zabolotskyi, et al.
Published: (2016)
Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients
by: Braichev, G. G., et al.
Published: (1993)
by: Braichev, G. G., et al.
Published: (1993)
On deviations and defects of meromorphic functions of finite lower order
by: Marchenko, I. I., et al.
Published: (1999)
by: Marchenko, I. I., et al.
Published: (1999)
Approximation by interpolation trigonometric polynomials
in metrics of the spaces $L_p$ on the classes of periodic entire functions
by: Serdyuk, A. S., et al.
Published: (2019)
by: Serdyuk, A. S., et al.
Published: (2019)
On the finiteness of the $l$-$\mathfrak{M}$-index of entire functions represented by series in а system of functions
by: Sheremeta, M., et al.
Published: (2024)
by: Sheremeta, M., et al.
Published: (2024)
Approximation by entire functions in the mean on the real axis
by: Stepanets , A. I., et al.
Published: (1991)
by: Stepanets , A. I., et al.
Published: (1991)
On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces
by: S. B. Vakarchuk, et al.
Published: (2014)
by: S. B. Vakarchuk, et al.
Published: (2014)
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
by: Vakarchuk, S. B., et al.
Published: (2017)
by: Vakarchuk, S. B., et al.
Published: (2017)
Logarithmic Derivative and the Angular Density of Zeros for a Zero-Order Entire Function
by: M. V. Zabolotskyi, et al.
Published: (2014)
by: M. V. Zabolotskyi, et al.
Published: (2014)
Similar Items
-
Asymptotics of the logarithmic derivative of an entire function of zero order
by: Zabolotskii, N. V., et al.
Published: (1999) -
Zeros and unities of the finite order entire functions
by: Sodin, M. L., et al.
Published: (1987) -
On the Polynomial Asymptotics of Subharmonic Functions of Finite Order and their Mass Distributions
by: Azarin, V.
Published: (2007) -
On the best polynomial approximation of entire transcendental functions of generalized order
by: Vakarchuk, S. B., et al.
Published: (2008) -
Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero
by: Zabolotskii, N. V., et al.
Published: (1996)