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On a Summability Method Defined by Means of Hermite Polynomials Върху един метод на сумиране, дефиниран чрез полиномите на Ермит

Boychev, Georgi — 2012

Union of Bulgarian Mathematicians

Георги С. Бойчев - В статията се разглежда метод за сумиране на редове, дефиниран чрез полиномите на Ермит. За този метод на сумиране са дадени някои Тауберови теореми. A summability method, defined by mean of the Hermite polynomials, is proposed. For this summation method Tauberian theorems are given. *2000 Mathematics Subject Classification: 33C45, 40G05.

On some Jacobi Series Върху някои редове на якоби

Boychev, Georgi — 2011

Union of Bulgarian Mathematicians

Георги С. Бойчев - Настоящата статия съдържа свойства на някои редове на Якоби. The paper presents properties of some Jacobi series. 2000 Mathematics Subject Classification: 33C45, 40G05. The second author is partially supported by the Research Sector of FMI-SU, contract number: 028/2009.

Equiconvergence and equisummability of Jacobi series

Boychev, Georgi — 2011

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.

Hermite Series with Polar Singularities

Boychev, Georgi S. — 2012

Mathematica Balkanica New Series

MSC 2010: 33C45, 40G05 Series in Hermite polynomials with poles on the boundaries of their regions of convergence are considered.

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