Cover Image

Domain of convergence of the Euler transform for the power series of an analytic function

We consider the Euler transform of the power series of an analytic function playing the role of its expansion in a series in a system of polynomials and study the domain of convergence of the transform depending on the parameter of transformation and the character of singular points of the function....

Full description

Saved in:

Bibliographic Details
Date:	2008
Main Authors:	Sukhorolskyi, M. A., Сухорольський, М. А.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3232
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Rate of convergence of the Taylor series for some classes of analytic functions
by: Savchuk, V. V., et al.
Published: (1998)

On the domains of analyticity of complex power series with independent random coefficients
by: Meredov , B., et al.
Published: (1992)

On the equivalence of the Euler-Pommier operators in spaces of analytic functions
by: Nagnibida, N. I., et al.
Published: (1996)

On the absolute convergence of power series
by: Hembars'ka, S. B., et al.
Published: (1999)

Integral transformation of Euler-Fourier-Euler on the polar axis
by: O. M. Nikitina
Published: (2013)

Representation of analytic functions by generalized series of exponents in unbounded convex domains
by: Krutigolova, Ye. K., et al.
Published: (1998)

Boundary-value problems for the Helmholts equation in domains of the complex plane
by: Sukhorolskyi, M. A., et al.
Published: (2016)

On conditions for convergence of Taylor-Dirichlet series in a convex domain
by: Krutigolova, Ye. K., et al.
Published: (1994)

On convergence of complex power series with independent random coefficients
by: Meredov, B., et al.
Published: (1995)

Bott functions and the euler characteristic
by: Bondar', O. P., et al.
Published: (1999)

Convergence, brought to life by analytical functionals, and isomorphism of analytical-function algebras
by: Petunin , Yu. I., et al.
Published: (1988)

Is classical mechanics based on Newton’s Laws or Eulers analytical equations?
by: Iro, H.
Published: (2005)

On convergence classes of Dirichlet series
by: Mulyava, O. M., et al.
Published: (1999)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

Expansion of functions in a system of polynomials biorthogonal on a closed contour with a system of functions regular at infinitely remote point
by: Sukhorolskyi, M. A., et al.
Published: (2010)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: U. Goginava, et al.
Published: (2015)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

Convergence of Fourier series on the systems of rational functions on the real axis
by: S. O. Chaichenko
Published: (2015)

Rate of Convergence of Positive Series
by: Skaskiv, O. B., et al.
Published: (2004)

On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators
by: Sukhorolskyi, M. A., et al.
Published: (1997)

Orthogonal over the domain systems of functions and their application in boundary value problems of mathematical physics
by: M. A. Sukhorolskyi
Published: (2016)

Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain
by: Panigrahi, T., et al.
Published: (2024)

Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain
by: T. Panigrahi, et al.
Published: (2024)

On the Hilbert problem for analytic functions in quasihyperbolic domains
by: Ya. Gutlyanskiĭ, et al.
Published: (2019)

On the Hilbert problem for analytic functions in quasihyperbolic domains
by: Gutlyanskii, V.Ya., et al.
Published: (2019)

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

γ-Convergence of integral functionals and the variational dirichlet problem in variable domains
by: Kovalevskii, A. A., et al.
Published: (1996)

Bessel functions of two complex mutually conjugated variables and their application in boundary-value problems of mathematical physics
by: Sukhorolskyi, M. A., et al.
Published: (2017)

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

Rate of convergence in the Euler scheme for stochastic differential equations with non-Lipschitz diffusion and Poisson measure
by: Zubchenko, V. P., et al.
Published: (2011)

On the convergence of solutions of variational problems with pointwise functional constraints in variable domains
by: A. A. Kovalevsky
Published: (2020)

Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
by: Kovalevsky, A.A., et al.
Published: (2009)

On necessary conditions for the convergence of Fourier series
by: Ivashchuk, O. V., et al.
Published: (2011)

Convergence of the linear's average multiple Fourier series of continuous functions
by: Zaderei , P. V., et al.
Published: (1988)

On the growth of analytic functions represented by the Dirichlet series on semistrips
by: Skaskiv, O. B., et al.
Published: (1993)

Volocity of convergence of ц-deviation on the class of analytic functions Hш∞
by: M. A. Veremii, et al.
Published: (2017)

On the Riemann–Hilbert problem for analytic functions in circular domains
by: A. S. Efimushkin, et al.
Published: (2016)

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

On the mean convergence of Fourier–Jacobi series
by: Goncharov, S. V., et al.
Published: (2010)

On conditions for Dirichlet series absolutely convergent in a half-plane to belong to the class of convergence
by: Mulyava, O. M., et al.
Published: (2008)