On the Solutions of Schlömilch's Integral Equations

ALTÜRK, AHMET

On the Solutions of Schlömilch's Integral Equations

Ahmet ALTÜRK (Amasya University, Faculty of Arts and Sciences, Department of Mathematics, İpekköy,Amasya)

Celal Bayar Üniversitesi Fen Bilimleri Dergisi

3 0

Yıl: 2017 Cilt: 13 Sayı: 3 Sayfa Aralığı: 671 - 676 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On the Solutions of Schlömilch's Integral Equations

Öz:

The linear Schlömilch's integral equation is an important and useful equation in atmospheric and terrestrial physics. The equation and its solution have been used for some ionospheric problems. It can also be considered as a special type of Fredholm integral equation of the first kind. This correspondence allows one to use the mathematical tools available for solving Fredholm integral equation of the first kind. In this article, we provide an alternative closed-form expression for solutions of the linear and the nonlinear Schlömilch's integral equation in terms of the well-known gamma function. Some elaborate examples are provided to demonstrate the simplicity and applicability of the proposed formulae.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ALTÜRK A (2017). On the Solutions of Schlömilch's Integral Equations. , 671 - 676.
Chicago	ALTÜRK AHMET On the Solutions of Schlömilch's Integral Equations. (2017): 671 - 676.
MLA	ALTÜRK AHMET On the Solutions of Schlömilch's Integral Equations. , 2017, ss.671 - 676.
AMA	ALTÜRK A On the Solutions of Schlömilch's Integral Equations. . 2017; 671 - 676.
Vancouver	ALTÜRK A On the Solutions of Schlömilch's Integral Equations. . 2017; 671 - 676.
IEEE	ALTÜRK A "On the Solutions of Schlömilch's Integral Equations." , ss.671 - 676, 2017.
ISNAD	ALTÜRK, AHMET. "On the Solutions of Schlömilch's Integral Equations". (2017), 671-676.

APA	ALTÜRK A (2017). On the Solutions of Schlömilch's Integral Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13(3), 671 - 676.
Chicago	ALTÜRK AHMET On the Solutions of Schlömilch's Integral Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13, no.3 (2017): 671 - 676.
MLA	ALTÜRK AHMET On the Solutions of Schlömilch's Integral Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, vol.13, no.3, 2017, ss.671 - 676.
AMA	ALTÜRK A On the Solutions of Schlömilch's Integral Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2017; 13(3): 671 - 676.
Vancouver	ALTÜRK A On the Solutions of Schlömilch's Integral Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2017; 13(3): 671 - 676.
IEEE	ALTÜRK A "On the Solutions of Schlömilch's Integral Equations." Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13, ss.671 - 676, 2017.
ISNAD	ALTÜRK, AHMET. "On the Solutions of Schlömilch's Integral Equations". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13/3 (2017), 671-676.