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Dergiler / Constructive Mathematical Analysis / 2021 / Cilt: 4 Sayı: 4

Parameterized families of polylog integrals

Anthony SOFO
Necdet BATİR
Sayfa
400–419
Yayın Tarihi
2021-12-13
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the process of the investigation we recover some known Euler sum equalities and discover some new identities.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:It is commonly known that integrals containing log-polylog integrands admit representations in terms of special functions such as the Dirichlet eta and Dirichlet beta functions.
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Temel Bulgular & Veri:We investigate two parameterized families of such integrals and in a particular case demonstrate a connection with the Herglotz function.
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Sonuç & Katkı:In the process of the investigation we recover some known Euler sum equalities and discover some new identities.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Harmonic number · gamma function · alternating harmonic number

Abstract

It is commonly known that integrals containing log-polylog integrands admit representations in terms of special functions such as the Dirichlet eta and Dirichlet beta functions. We investigate two parameterized families of such integrals and in a particular case demonstrate a connection with the Herglotz function. In the process of the investigation we recover some known Euler sum equalities and discover some new identities.

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Bu Makaleye Atıf Yap

SOFO, A., BATİR, N. (2021). Parameterized families of polylog integrals. Constructive Mathematical Analysis, Cilt: 4 Sayı: 4, 400–419. https://ajindex.com/articles/903636

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Kaynakça (6)

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