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pro vyhledávání: '"Schwarz integral formula"'
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Autor:
V. G. Nikolaev, V. B. Vasil’ev
Publikováno v:
Differential Equations. 53:1318-1328
We consider the Schwarz problem for J-analytic functions for the case in which the Jordan basis Q of the matrix J contains complex conjugate vectors. Conditions on the matrix Q are obtained under which there exists a unique solution of the Schwarz pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::672258852488c11076de6b9d04654d77
https://doi.org/10.1134/s0012266117100081
https://doi.org/10.1134/s0012266117100081
Autor:
Fatimah Alabbad, Mohamed Akel
Publikováno v:
Acta Mathematica Sinica, English Series. 33:1249-1266
In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann–Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are obtained. The boundary behavio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86fc70773cb63bf8f12aa013f6cbcd21
https://doi.org/10.1007/s10114-016-6127-6
https://doi.org/10.1007/s10114-016-6127-6
Autor:
Hidetaka Hamada
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 42:799-802
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b31fc832f10199c2a6169a8ed3a3261c
https://doi.org/10.5186/aasfm.2017.4245
https://doi.org/10.5186/aasfm.2017.4245
Autor:
A. O. Çelebi, Ümit Aksoy
Publikováno v:
Complex Variables and Elliptic Equations. 62:1558-1569
In this paper, we discuss the Schwarz boundary value problem for higher order linear complex differential equations in the unit polydisc of C2. After the relevant preparations, we give the solution for a model equation with homogeneous boundary condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44ab3f391b139c399e0686fe4b3dc073
https://doi.org/10.1080/17476933.2016.1254627
https://doi.org/10.1080/17476933.2016.1254627
Autor:
Tuğba Akyel, Bülent Nafi Örnek
Publikováno v:
Publications de l'Institut Math?matique (Belgrade). 101:191-196
Let f be a holomorphic function in the unit disc and |f(z)?1| < 1 for |z| < 1. We generalize the uniqueness portion of Schwarz?s lemma and provide sufficient conditions on the local behavior of f near a finite set of boundary points that needed for f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f69b51f5faafdd7bcf92d60c651dda5
https://doi.org/10.2298/pim1715191o
https://doi.org/10.2298/pim1715191o
Autor:
Tuğba Akyel, Bülent Nafi Örnek
Publikováno v:
Filomat. 31:3643-3650
In this paper, a boundary version of the uniqueness (or, rigidity) part of the Schwarz lemma should be investigated. Also, new results related to inner functions, inner capacities, and bilogaritmic concave majorants are obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57012ccbe6adff2e5fedecc017d8d5bd
https://doi.org/10.2298/fil1712643o
https://doi.org/10.2298/fil1712643o
Autor:
Zhong Xiang Zhang
Publikováno v:
Journal of Mathematical Analysis and Applications. 443:1130-1141
In this paper, we first construct a type of Mobius transformations with Clifford coefficients and give some of its properties, for example: the mapping properties, preserving the symmetric points with respect to the sphere, the Jacobi determinant, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c4b4ad797ef4c1407989e2c8af6863a
https://doi.org/10.1016/j.jmaa.2016.05.069
https://doi.org/10.1016/j.jmaa.2016.05.069
Publikováno v:
Proceedings of the American Mathematical Society. 145:1709-1716
In this paper, we first establish a new type of the classical Schwarz lemma at the boundary for holomorphic self-mappings of the unit ball in C n \mathbb {C}^n , and then give the boundary version of the rigidity theorem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2a32082d3af9570b2df974bb35113fa
https://doi.org/10.1090/proc/13378
https://doi.org/10.1090/proc/13378
Publikováno v:
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika. :21-27
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f694ea94a5c75a11284b281435a79cff
https://doi.org/10.17223/19988621/43/2
https://doi.org/10.17223/19988621/43/2