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关于一个Polygamma函数的递增性和完全单调性的证明(英文)

Increasing and Complete Monotonicity Properties for Polygamma Function
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摘要 利用Gamma函数和的属性,我们得到了三个相关定理证明并提出一个公开问题. By using the Fact's formula properties of psi and polygamma functions, we obtain three theorems and open problem.
作者 张亚宁
出处 《吉林师范大学学报(自然科学版)》 2008年第4期132-133,共2页 Journal of Jilin Normal University:Natural Science Edition
基金 National Natural Science Fundation of Henan(0511012000)
关键词 Г函数 Ψ函数 Polygamma函数 gamma function psi function polygamma function
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参考文献9

  • 1M.Abramowitz,I.A.Stegun(Eds.). Handbook of Mathematical Functions with Formulas , Graphs , and Mathematical Tables, Applied Mathematics.Series, vol. 55. fourthed , with corrections, National Bureal of Standards, Washington, 1965.
  • 2H.Alzer.A power mean inequality for the gamma function[J]. Monatsh.Math. Soc,2000,131 : 179- 188.
  • 3H.Alzer.A subadditive property of the gamma function[J]. J.Amer.Math.Anal.Appl,2003,285:564-577.
  • 4H.Alzer.On ramanujan double inequality for the amma function[J]. Bull.London Math.Soc,2003,35:601-607.
  • 5H.Alzer.Sharp inequalities for the amma function and polygamma functions[J]. Forum Math,2004,16(1):181-221.
  • 6H.Alzer.Inequalities for polygamma function[J]. SIAM J Math.Anal,1998,29(6):1459-1466.
  • 7H.Alzer.On some inequalities for the gamma function aand psi functions[J]. Math.Comp.1997,66(217):373-389.
  • 8W.E.Clark,M.E.H.Ismail.Inaqualities involving gamma functions and psi function[J]. Anal.APPL,2003,1(129):129-140.
  • 9Chao-ping chen.Complete monotonicity and Logarithmically Complete monotooicity properties for gamma and psi functions[J]. J.Math.appl,2007,812-822.

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