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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, we evaluate several series and integrals in closed forms.
📌 3 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data:Then we investigate the relationship of these polynomials with degenerate Bernoulli, degenerate Euler, and Bernoulli polynomials.
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Conclusion & Impact:Finally, we evaluate several series and integrals in closed forms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.
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Cite This Article
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