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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

On generalized Mathieu series and its companions

P. Cerone
C. Lenard
Sayfa
1367–1387
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is demonstrated that the Zeta companion relations are a particular case of the generalised Mathieu companions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Integral representations for a generalized Mathieu series and its companions are used to obtain bounds for their corresponding series.
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Temel Bulgular & Veri:The bounds are procured mainly using results pertaining to the Čebyšev functional.
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Sonuç & Katkı:It is demonstrated that the Zeta companion relations are a particular case of the generalised Mathieu companions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:companion generalized Mathieu series · identities and bounds · Čebyšev functional

Abstract

Integral representations for a generalized Mathieu series and its companions are used to obtain bounds for their corresponding series. The bounds are procured mainly using results pertaining to the Čebyšev functional. The relationship to Zeta type functions are also examined. It is demonstrated that the Zeta companion relations are a particular case of the generalised Mathieu companions.

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Bu Makaleye Atıf Yap

Cerone, P., Lenard, C. (2022). On generalized Mathieu series and its companions. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1367–1387. https://ajindex.com/articles/529723

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