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Dergiler / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 3 Issue: 1

High-Order Coefficients of Second-Order ODEs in Relation to Pre-Factors for Complex Parameter

Fatih Say(ORDU UNIVERSITY)0000-0002-4500-2830
Sayfa
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Yayın Tarihi
2020-06-10
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The study provides a general formula for its generic high-order coefficients with the associated pre-factors for complex $ \epsilon_{1} $ based on the use of a well-known factorial divided by a power approach.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we asymptotically reconsider the relations between the pre-factors of a general inhomogeneous second-order ordinary differential equation and the high-order coefficients of its asymptotic power series for complex values of the asymptotic parameter $ \epsilon_{1} $.
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Temel Bulgular & Veri:In this study, we asymptotically reconsider the relations between the pre-factors of a general inhomogeneous second-order ordinary differential equation and the high-order coefficients of its asymptotic power series for complex values of the asymptotic parameter $ \epsilon_{1} $.
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Sonuç & Katkı:The study provides a general formula for its generic high-order coefficients with the associated pre-factors for complex $ \epsilon_{1} $ based on the use of a well-known factorial divided by a power approach.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Asymptotic expansions · Approximation · Asymptotic beyond all orders

Abstract

In this study, we asymptotically reconsider the relations between the pre-factors of a general inhomogeneous second-order ordinary differential equation and the high-order coefficients of its asymptotic power series for complex values of the asymptotic parameter $ \epsilon_{1} $. The study provides a general formula for its generic high-order coefficients with the associated pre-factors for complex $ \epsilon_{1} $ based on the use of a well-known factorial divided by a power approach.

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Bu Makaleye Atıf Yap

Say, F. (2020). High-Order Coefficients of Second-Order ODEs in Relation to Pre-Factors for Complex Parameter. Fundamental Journal of Mathematics and Applications, Volume: 3 Issue: 1. https://doi.org/10.33401/fujma.725913

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Kaynakça (23)

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