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The Polygamma Function ψ(k)(x) for x=14 and x=34

Journal of Computational and Applied Mathematics, 1996
K S Kölbig
exaly  

Some new inequalities for gamma and polygamma functions

2005
The author proves new inequalities concerning the gamma function \(\Gamma\), \[ \Gamma(x)=\int_0^\infty e^{-u} u^{x-1} du, \] polygamma functions \(\psi=\Gamma'/\Gamma\) and \(\psi'\). These functions have applications in mathematical physics and statistics.
openaire   +1 more source

Some Completely Monotonic Functions Involving Polygamma Functions and an Application

Journal of Mathematical Analysis and Applications, 2005
Bai-Ni Guo, Feng Qi, Chao-Ping Chen
exaly  

Some Properties of the Divided Difference of Psi and Polygamma Functions

Journal of Mathematical Analysis and Applications, 2017
Zhen-Hang Yang
exaly  

Some Completely Monotonic Functions Involving the Gamma and Polygamma Functions

Journal of the Australian Mathematical Society, 2006
Bai-Ni Guo, Feng Qi, Chao-Ping Chen
exaly  

Exponential, Gamma and Polygamma Functions: Simple Proofs of Classical and New Inequalities

Journal of Mathematical Analysis and Applications, 2013
Pierpaolo Natalini
exaly  

On Some Families of Integrals Solvable in Terms of Polygamma and Negapolygamma Functions

Integral Transforms and Special Functions, 2003
Victor Moll, George Boros
exaly  

Some Classes of Infinite Series Associated With the Riemann Zeta and Polygamma Functions and Generalized Harmonic Numbers

Applied Mathematics and Computation, 2002
Themistocles M Rassias, H M Srivastava
exaly  

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