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Completely and logarithmically completely monotone functions

open access: yes
27 pages (accepted version, corrected some errors in version 2, and given new results, changed the title to Completely monotone functions in general and some applications )
openaire   +2 more sources

New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations

open access: yes, 2007
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core  

Complete Monotonicity of classical theta functions and applications

open access: yes, 2014
19 pagesWe produce trigonometric expansions for Jacobi theta functions\\ $\theta_j(u,\tau), j=1,2,3,4$\ where $\tau=i\pi t, t > 0$. This permits us to prove that\ $\log \frac{\theta_j(u, t)}{\theta_j(0, t)}, j=2,3,4$ and $\log \frac{\theta_1(u, t)}{\pi ...
Chouikha, A. Raouf
core  

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