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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 3

On the Solutions of Schlömilch's Integral Equations

Ahmet ALTÜRK
Sayfa
671–676
Yayın Tarihi
2022-10-12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some elaborate examples are provided to demonstrate the simplicity and applicability of the proposed formulae.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The linear Schlömilch's integral equation is an important and useful equation in atmospheric and terrestrial physics.
📊
Temel Bulgular & Veri:The equation and its solution have been used for some ionospheric problems.
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Sonuç & Katkı:Some elaborate examples are provided to demonstrate the simplicity and applicability of the proposed formulae.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

ALTÜRK, A. (2022). On the Solutions of Schlömilch's Integral Equations. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 3, 671–676. https://ajindex.com/articles/472333

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Kaynakça (15)

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