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Complete Monotonicity of Functions Related to Trigamma and Tetragamma Functions

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摘要 In this paper,we study the completely monotonic property of two functions involving the functionΔ(x)=[ψ′(x)]2+ψ″(x)and deduce the double inequality x^(2)+3x+3/3x^(4)(2x+1)^(2)<Δ(x)<625x^(2)+2275x+5043/3x^(4)(50x+41)^(2),x>0which improve some recent results,whereψ(x)is the logarithmic derivative of the Gamma function.Also,we deduce the completely monotonic degree of a function involvingψ′(x).
出处 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第4期263-275,共13页 工程与科学中的计算机建模(英文)
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