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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Finally, we evaluate several series and integrals in closed forms.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:According to the generalized Mellin derivative, we introduce a new family of polynomials called higher order generalized geometric polynomials and obtain some arithmetical properties of them.
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Temel Bulgular & Veri:Then we investigate the relationship of these polynomials with degenerate Bernoulli, degenerate Euler, and Bernoulli polynomials.
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Sonuç & Katkı:Finally, we evaluate several series and integrals in closed forms.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized geometric polynomials · Bernoulli polynomials · Euler polynomials
Abstract
According to the generalized Mellin derivative, we introduce a new family of polynomials called higher order generalized geometric polynomials and obtain some arithmetical properties of them. Then we investigate the relationship of these polynomials with degenerate Bernoulli, degenerate Euler, and Bernoulli polynomials. Finally, we evaluate several series and integrals in closed forms.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ÇEKİM, B., KARGIN, L. (2022). Higher order generalized geometric polynomials. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 3, 887–903. https://ajindex.com/articles/607776