On the Hilbert formulas and of change of integration order for some singular integrals in unit circle

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA2201YB1" target="_blank" >RIV/61988987:17310/18:A2201YB1 - isvavai.cz</a>

Result on the web

<a href="https://journals.tubitak.gov.tr/math/issues/mat-18-42-3/mat-42-3-10-1704-77.pdf" target="_blank" >https://journals.tubitak.gov.tr/math/issues/mat-18-42-3/mat-42-3-10-1704-77.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3906/mat-1704-77" target="_blank" >10.3906/mat-1704-77</a>

Result language

angličtina

Original language name

On the Hilbert formulas and of change of integration order for some singular integrals in unit circle

Original language description

We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory when alpha is a complex number. Such formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincare-Bertrand formula for the alpha-hyperholomorphic singular integrals in the unit circle is presented.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Turkish Journal of Mathematics

ISSN

1300-0098

e-ISSN

1303-6149

Volume of the periodical

—

Issue of the periodical within the volume

42

Country of publishing house

TR - TURKEY

Number of pages

3

Pages from-to

862-875

UT code for WoS article

000439014600010

EID of the result in the Scopus database

2-s2.0-85046727553