Bilateral repetitive transcranial magnetic stimulation modulates the hemispheric imbalance in major depressive disorder. [PDF]
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Monotonic Properties of Differences for Remainders of Psi Function
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Therapeutic Assessment of TrkB Agonist in a Unilateral Blast-Induced Hearing Loss Mouse Model. [PDF]
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Coordinated alternative splicing decisions via stepwise exon definition. [PDF]
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Psilocybin shapes the slow, global propagation of brain activity over the cortical layout of 5HT2a receptors. [PDF]
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Comparison of the K-WPPSI-IV Profiles Between Children With Attention-Deficit/Hyperactivity Disorder and Children With Autism Spectrum Disorder: A Retrospective Study. [PDF]
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Photosystem I-independent oxygenic photosynthesis in cyanobacteria
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Zhen-Hang Yang, Yu-Ming Chu
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Monotonicity properties of functions related to the psi function
Applied Mathematics and Computation, 2010Let \(\psi(x):=\frac{\Gamma'(x)}{\Gamma(x)}\), \[ J_a(x)=(x+a)^4\left[\ln\left(x+\frac12\right)-\psi(x+1)+\frac{1}{24\left(x+\frac12\right)^2}\right], a\geq 0. \] The author proves that the function \(J_a(x)\) is strictly increasing on \((0,\infty)\) if and only if \(a\leq \frac12\). Let \(\gamma\) be Euler's constant and \[ R_n=\sum_{k=1}^n\frac{1}{k}-
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Continued fraction estimates for the psi function
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chao-Ping Chen
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