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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
As a special case, alternating sums of powers of integers are also considered, and some new polynomial expressions are given.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The possible polynomial expressions for sums of powers of integers multiplied by an exponential term are investigated.
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Temel Bulgular & Veri:We explicitly give factorization of these polynomials in terms of the roots of Apostol-Bernoulli polynomials.
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Sonuç & Katkı:As a special case, alternating sums of powers of integers are also considered, and some new polynomial expressions are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sum of powers of integers · Faulhaber's theorem · alternating sums of power
Abstract
The possible polynomial expressions for sums of powers of integers multiplied by an exponential term are investigated. We explicitly give factorization of these polynomials in terms of the roots of Apostol-Bernoulli polynomials. As a special case, alternating sums of powers of integers are also considered, and some new polynomial expressions are given.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ERDOĞAN, A. (2019). A note on polynomial expressions for sums of power of integers multiplied by exponential terms. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 199–206. https://ajindex.com/articles/214996