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Genelleştirilmiş Q-Holomorf fonksiyonlar için Lokal Benzerlik Temsili

Year 2017, , 420 - 425, 01.06.2017
https://doi.org/10.16984/saufenbilder.316307

Abstract

 Denkleminin çözümleri için local bir benzerlik temsili ispatlanacaktır. Burada A ve B   tipinde alt ücgensel matrisler, Q   tipinde esas köşegeni sıfır olan alt üçgensel matris ve bilinmeyen  w  fonksiyonu ise -tipinde kompleks matris değerli bir fonksiyondur.

References

  • [1] L. Bers, Theory of Pseudo-analytic Functions, New York: Courant Ins, 1953. [2] I. N. Vekua, Generalized Analytic Fuctions, London: Pergamon Press, 1962. [3] R. P. Gilbert ve J. L. Buchanan, First order elliptic systems, New York: Acad. press., 1983. [4] S. Hızlıyel ve M. Çağlıyan, «Generalized Q-Holomorphic functions,» Complex variables, cilt 49, no. 6, pp. 427-447, may 2004. [5] S. Hızlıyel ve M. Çağlıyan, «Pseudo Q-holomorphic Functions,» Complex Variables, cilt 49, no. 13, pp. 941-955, 2004. [6] E. Kühn, «Über die Funktionentheorie einer Klasse Elliptischer Differentialgleichungsysteme in der Ebene,» Universita ̈t Dourtmund, Dourtmund, 1974.

A Local Similarity Representation for Generalized Q-Holomorphic Functions

Year 2017, , 420 - 425, 01.06.2017
https://doi.org/10.16984/saufenbilder.316307

Abstract

In
this work, we prove a local similarity representation for the solution of
equation





where
A and B are
 lower
triangular matrices, Q is a
 type
lower triangular matrix having zeros the main diagonal and the unknown fuction w is a
-type complex matris
valued functions.

References

  • [1] L. Bers, Theory of Pseudo-analytic Functions, New York: Courant Ins, 1953. [2] I. N. Vekua, Generalized Analytic Fuctions, London: Pergamon Press, 1962. [3] R. P. Gilbert ve J. L. Buchanan, First order elliptic systems, New York: Acad. press., 1983. [4] S. Hızlıyel ve M. Çağlıyan, «Generalized Q-Holomorphic functions,» Complex variables, cilt 49, no. 6, pp. 427-447, may 2004. [5] S. Hızlıyel ve M. Çağlıyan, «Pseudo Q-holomorphic Functions,» Complex Variables, cilt 49, no. 13, pp. 941-955, 2004. [6] E. Kühn, «Über die Funktionentheorie einer Klasse Elliptischer Differentialgleichungsysteme in der Ebene,» Universita ̈t Dourtmund, Dourtmund, 1974.
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Details

Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Sezayi Hızlıyel

Publication Date June 1, 2017
Submission Date April 14, 2016
Acceptance Date February 2, 2017
Published in Issue Year 2017

Cite

APA Hızlıyel, S. (2017). A Local Similarity Representation for Generalized Q-Holomorphic Functions. Sakarya University Journal of Science, 21(3), 420-425. https://doi.org/10.16984/saufenbilder.316307
AMA Hızlıyel S. A Local Similarity Representation for Generalized Q-Holomorphic Functions. SAUJS. June 2017;21(3):420-425. doi:10.16984/saufenbilder.316307
Chicago Hızlıyel, Sezayi. “A Local Similarity Representation for Generalized Q-Holomorphic Functions”. Sakarya University Journal of Science 21, no. 3 (June 2017): 420-25. https://doi.org/10.16984/saufenbilder.316307.
EndNote Hızlıyel S (June 1, 2017) A Local Similarity Representation for Generalized Q-Holomorphic Functions. Sakarya University Journal of Science 21 3 420–425.
IEEE S. Hızlıyel, “A Local Similarity Representation for Generalized Q-Holomorphic Functions”, SAUJS, vol. 21, no. 3, pp. 420–425, 2017, doi: 10.16984/saufenbilder.316307.
ISNAD Hızlıyel, Sezayi. “A Local Similarity Representation for Generalized Q-Holomorphic Functions”. Sakarya University Journal of Science 21/3 (June 2017), 420-425. https://doi.org/10.16984/saufenbilder.316307.
JAMA Hızlıyel S. A Local Similarity Representation for Generalized Q-Holomorphic Functions. SAUJS. 2017;21:420–425.
MLA Hızlıyel, Sezayi. “A Local Similarity Representation for Generalized Q-Holomorphic Functions”. Sakarya University Journal of Science, vol. 21, no. 3, 2017, pp. 420-5, doi:10.16984/saufenbilder.316307.
Vancouver Hızlıyel S. A Local Similarity Representation for Generalized Q-Holomorphic Functions. SAUJS. 2017;21(3):420-5.

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