On the Solutions of Schlömilch's Integral Equations

Ahmet ALTÜRK

doi:https://doi.org/10.18466/cbayarfbe.339329

Article Details

On the Solutions of Schlömilch's Integral Equations

Authors:

Ahmet ALTÜRK

Publisher:

Celal Bayar University

Journal:

Celal Bayar University Journal of Science 2017 Vol.13 Issue 3, pp.671-676

Document Type:

Article

Publication Date:

9/2017

Document Language:

Turkish

Document ID (Org No.):

2000706439

Frequency:

Quarterly

eISSN:

1305-1385

pISSN:

1305-130X

DOI:

https://doi.org/10.18466/cbayarfbe.339329

Abstract:

 


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.

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Article Details

On the Solutions of Schlömilch's Integral Equations

Authors: Ahmet ALTÜRK

Publisher: Celal Bayar University

Journal: Celal Bayar University Journal of Science 2017 Vol.13 Issue 3, pp.671-676

Document Type: Article

Publication Date: 9/2017

Document Language: Turkish

Document ID (Org No.): 2000706439

Frequency: Quarterly

eISSN: 1305-1385

pISSN: 1305-130X

DOI: https://doi.org/10.18466/cbayarfbe.339329

Issues

Authors:

Ahmet ALTÜRK

Publisher:

Celal Bayar University

Journal:

Celal Bayar University Journal of Science 2017 Vol.13 Issue 3, pp.671-676

Document Type:

Article

Publication Date:

9/2017

Document Language:

Turkish

Document ID (Org No.):

2000706439

Frequency:

Quarterly

eISSN:

1305-1385

pISSN:

1305-130X

DOI:

https://doi.org/10.18466/cbayarfbe.339329