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

Juan Bory Reyes | Zendy; Ricardo Abreu Blaya | Zendy; Marco Antonio Perez De La Rosa | Zendy; Baruch Schneider | Zendy

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

Author(s) -

Juan Bory Reyes,

Ricardo Abreu Blaya,

Marco Antonio Perez De La Rosa,

Baruch Schneider

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1704-77

Subject(s) - mathematics , unit circle , unit (ring theory) , order (exchange) , pure mathematics , boundary (topology) , mathematical analysis , function (biology) , alpha (finance) , construct validity , statistics , evolutionary biology , biology , psychometrics , mathematics education , finance , economics

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

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