Asymptotic Properties of Functions Holomorphic in the Unit Disk
We study the behavior of the sum of a power series near the boundary of the disk of convergence.
Saved in:
| Date: | 2001 |
|---|---|
| Main Authors: | Makarov, V. Yu., Макаров, В. Ю. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4294 |
| 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
Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points
by: Makarov, V. Yu., et al.
Published: (1999)
by: Makarov, V. Yu., et al.
Published: (1999)
Approximation of Subharmonic Functions in the Unit Disk
by: Chyzhykov, I.E.
Published: (2008)
by: Chyzhykov, I.E.
Published: (2008)
The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
by: Örnek, B.N.
Published: (2016)
by: Örnek, B.N.
Published: (2016)
On the angular derivatives of certain class of holomorphic functions in the unit disc
by: B. N. Ornek
Published: (2013)
by: B. N. Ornek
Published: (2013)
The Carath eodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
by: B. N. Цrnek
Published: (2016)
by: B. N. Цrnek
Published: (2016)
Contour-solid properties of finely holomorphic functions
by: Sarana, A. A., et al.
Published: (1998)
by: Sarana, A. A., et al.
Published: (1998)
On Interpolation Sequences of One Class of Functions Analytic in the Unit Disk
by: Vynnyts’kyi, B. V., et al.
Published: (2001)
by: Vynnyts’kyi, B. V., et al.
Published: (2001)
Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)
by: Savchuk, V. V., et al.
Published: (2007)
Orders of Power Growth near the Critical Strip of the Riemann Zeta Function
by: Makarov, V. Yu., et al.
Published: (2002)
by: Makarov, V. Yu., et al.
Published: (2002)
On rationally loxodromic holomorphic functions
by: Lukivska, Dz. V., et al.
Published: (2017)
by: Lukivska, Dz. V., et al.
Published: (2017)
Boundedness of the L-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball
by: A. Bandura, et al.
Published: (2024)
by: A. Bandura, et al.
Published: (2024)
Boundedness of the $L$-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball
by: Bandura, A., et al.
Published: (2024)
by: Bandura, A., et al.
Published: (2024)
On rationally loxodromic holomorphic functions
by: D. V. Lukivska, et al.
Published: (2017)
by: D. V. Lukivska, et al.
Published: (2017)
Interpolation Sequences for the Class of Functions of Finite η-Type Analytic in the Unit Disk
by: Vynnyts’kyi, B. V., et al.
Published: (2004)
by: Vynnyts’kyi, B. V., et al.
Published: (2004)
Approximation of holomorphic functions by Cesàro means
by: Rovenska , O. G., et al.
Published: (2022)
by: Rovenska , O. G., et al.
Published: (2022)
Some holomorphic generalizations of loxodromic functions
by: Lukivska, Dz. V., et al.
Published: (2017)
by: Lukivska, Dz. V., et al.
Published: (2017)
On local limit values of subharmonic and holomorphic functions
by: Bondar, A. V., et al.
Published: (1994)
by: Bondar, A. V., et al.
Published: (1994)
Approximation of holomorphic functions by Cesàro means
by: O. H. Rovenska, et al.
Published: (2022)
by: O. H. Rovenska, et al.
Published: (2022)
Some holomorphic generalizations of loxodromic functions
by: D. V. Lukivska
Published: (2017)
by: D. V. Lukivska
Published: (2017)
Laguerre–Cayley functions and related polynomials
by: Makarov, V., et al.
Published: (2024)
by: Makarov, V., et al.
Published: (2024)
Estimate of the mixed derivative of holomorphic functions in polydisk
by: Yu. Meremelia, et al.
Published: (2013)
by: Yu. Meremelia, et al.
Published: (2013)
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
by: Airault, H.
Published: (2009)
by: Airault, H.
Published: (2009)
A New Morera-Type Theorem on a Unit Disk
by: Silenko, V. E., et al.
Published: (2001)
by: Silenko, V. E., et al.
Published: (2001)
Majorants of remainders of Taylor series of bounded holomorphic functions
by: Yu. Meremelia, et al.
Published: (2014)
by: Yu. Meremelia, et al.
Published: (2014)
Bounds for holomorphic functionals on Teichmuller spaces and univalent functions
by: S. L. Krushkal
Published: (2013)
by: S. L. Krushkal
Published: (2013)
Contour-solid properties of holomorphic functions in domain of multi-dimensional complex space
by: A. Y. Shchekhorskyi, et al.
Published: (2017)
by: A. Y. Shchekhorskyi, et al.
Published: (2017)
Approximation of holomorphic functions by Taylor-Abel-Poisson means
by: Savchuk, V. V., et al.
Published: (2007)
by: Savchuk, V. V., et al.
Published: (2007)
Approximation of holomorphic functions of Zygmund class by Fejer means
by: Savchuk, V. V., et al.
Published: (2012)
by: Savchuk, V. V., et al.
Published: (2012)
Onn-widths of bounded periodic holomorphic functions
by: Wilderotter, К., et al.
Published: (1995)
by: Wilderotter, К., et al.
Published: (1995)
On n-widths of bounded periodic holomorphic functions
by: Wilderotter, K.
Published: (1995)
by: Wilderotter, K.
Published: (1995)
Biorthogonal polynomials and their properties. Direct and inverse statements
by: Makarov, V., et al.
Published: (2026)
by: Makarov, V., et al.
Published: (2026)
Approximation of bounded holomorphic
and harmonic functions by Fejér means
by: Savchuk, V. V., et al.
Published: (2019)
by: Savchuk, V. V., et al.
Published: (2019)
Some conditions of holomorphism in the Hilbert spaces
by: Bondar , A. V., et al.
Published: (1991)
by: Bondar , A. V., et al.
Published: (1991)
Exact constants in inequalities for the Taylor coefficients of bounded holomorphic functions in a polydisc
by: Meremelya, I. Yu., et al.
Published: (2015)
by: Meremelya, I. Yu., et al.
Published: (2015)
Norms of Multipliers and Best Approximations of Holomorphic Functions of Many Variables
by: Savchuk, V. V., et al.
Published: (2002)
by: Savchuk, V. V., et al.
Published: (2002)
Riemann operator function. Cayley’s transformation
by: Makarov, V., et al.
Published: (2025)
by: Makarov, V., et al.
Published: (2025)
Asymptotic properties of correlation estimates in the functional spaces. II
by: Buldygin , V. V., et al.
Published: (1991)
by: Buldygin , V. V., et al.
Published: (1991)
Asymptotic properties of correlational estimates in the functional spaces. I
by: Buldygin , V. V., et al.
Published: (2025)
by: Buldygin , V. V., et al.
Published: (2025)
Some Local Contour-Solid Theorems for Finely Holomorphic Functions
by: Sarana, A. A., et al.
Published: (2002)
by: Sarana, A. A., et al.
Published: (2002)
Characteristics of power growth of a multidimensional series of exponents
by: Makarov, V. Yu., et al.
Published: (1994)
by: Makarov, V. Yu., et al.
Published: (1994)
Similar Items
-
Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points
by: Makarov, V. Yu., et al.
Published: (1999) -
Approximation of Subharmonic Functions in the Unit Disk
by: Chyzhykov, I.E.
Published: (2008) -
The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
by: Örnek, B.N.
Published: (2016) -
On the angular derivatives of certain class of holomorphic functions in the unit disc
by: B. N. Ornek
Published: (2013) -
The Carath eodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
by: B. N. Цrnek
Published: (2016)