A Note on Additivity of Polygamma Functions

نویسنده

  • FENG QI
چکیده

In the note, the functions ̨ ̨ψ(i)(ex) ̨ ̨ for i ∈ N are proved to be sub-additive on (ln θi,∞) and super-additive on (−∞, ln θi), where θi ∈ (0, 1) is the unique root of equation 2 ̨ ̨ψ(i)(θ) ̨

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تاریخ انتشار 2009