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Complete monotonicity results for some functions involving the gamma and polygamma functions

✍ Scribed by Hamdullah Şevli̇; Necdet Batır

Book ID
108200988
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
206 KB
Volume
53
Category
Article
ISSN
0895-7177

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📜 SIMILAR VOLUMES

Complete monotonicity of some functions
Complete monotonicity of some functions involving polygamma functions
✍ Feng Qi; Senlin Guo; Bai-Ni Guo 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 732 KB

In the present paper, we establish necessary and sufficient conditions for the functions | respectively to be monotonic and completely monotonic on (0, ∞), where i ∈ N, α > 0 and β ≥ 0 are scalars, and ψ (i) (x) are polygamma functions.