Results 131 to 140 of about 2,821,192 (174)

Algorithm-assisted discovery of an intrinsic order among mathematical constants. [PDF]

Proc Natl Acad Sci U S A
Elimelech R, David O, De la Cruz Mengual C, Kalisch R, Berndt W, Shalyt M, Silberstein M, Hadad Y, Kaminer I.   +8 more
europepmc   +1 more source

Dependent generalized Dirichlet process priors for the analysis of acute lymphoblastic leukemia. [PDF]

Biostatistics, 2018
Barcella W, De Iorio M, Favaro S, Rosner GL.   +3 more
europepmc   +1 more source

Rapid Adaptation of a Polygenic Trait After a Sudden Environmental Shift. [PDF]

Genetics, 2017
Jain K, Stephan W.
europepmc   +1 more source

Efficient prediction designs for random fields. [PDF]

Appl Stoch Models Bus Ind, 2015
Müller WG, Pronzato L, Rendas J, Waldl H.   +3 more
europepmc   +1 more source

A Likelihood-Based SLIC Superpixel Algorithm for SAR Images Using Generalized Gamma Distribution. [PDF]

Sensors (Basel), 2016
Zou H, Qin X, Zhou S, Ji K.
europepmc   +1 more source

Polygamma Functions of Negative Order

Journal of Computational and Applied Mathematics, 1998
Liouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negative integer n. It is shown that such ψ(n)(Z) can be represented in a closed form by means of the first derivatives of the Hurwitz Zeta function. Relations to the Barnes G-function and generalized Glaisher's constants are also discussed.
Victor S. Adamchik (5409170)
exaly   +3 more sources

On Some Properties of Digamma and Polygamma Functions

Journal of Mathematical Analysis and Applications, 2007
The author proves some interesting inequalities involving the logarithmic derivative of the gamma function \(\psi(x)=\frac{\Gamma^{\prime}(x)}{\Gamma(x)}\), and its derivatives \(\psi_{n}(x)=\psi^{(n)}(x),\;n=1,2,3,\ldots\), known as polygamma functions.
Necdet Batir
exaly   +4 more sources

Sharp Inequalities for Polygamma Functions [PDF]

Mathematica Slovaca, 2015
Abstract In the paper, the authors review some inequalities and the (logarithmically) complete monotonicity concerning the gamma and polygamma functions and, more importantly, present a sharp double inequality for bounding the polygamma function by rational functions.
Bai-Ni Guo, Feng Qi, Qiu-Ming Luo
exaly   +3 more sources

A Generalized Polygamma Function

Integral Transforms and Special Functions, 2004
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Victor Moll
exaly   +5 more sources