Results 1 to 10 of about 472 (77)
Error bounds for the asymptotic expansion of the Hurwitz zeta function. [PDF]
Proc Math Phys Eng Sci, 2017 In this paper, we reconsider the large-$a$ asymptotic expansion of the Hurwitz zeta function $\zeta(s,a)$. New representations for the remainder term of the asymptotic expansion are found and used to obtain sharp and realistic error bounds.
Nemes G.
europepmc +4 more sources
Mathematics, 2022 When modeling real phenomena, special cases of the generalized gamma distribution and the generalized beta distribution of the second kind play an important role.
Alexey Kudryavtsev, Oleg Shestakov
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A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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Symbolic Maximum Likelihood Estimation with Mathematica [PDF]
, 1999 Mathematica is a symbolic programming language that empowers the user to undertake complicated algebraic tasks. One such task is the derivation of maximum likelihood estimators, demonstrably an important topic in statistics at both the research and ...
Rose, Colin, Smith, Murray D.
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On the use of the l(2)-norm for texture analysis of polarimetric SAR data [PDF]
, 2016 In this paper, the use of the l2-norm, or Span, of the scattering vectors is suggested for texture analysis of polarimetric synthetic aperture radar (SAR) data, with the benefits that we need neither an analysis of the polarimetric channels separately ...
Deng, xinping, López Martínez, Carlos
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New p-adic hypergeometric functions and syntomic regulators [PDF]
, 2020 We introduce new p-adic convergent functions, which we call the p-adic hypergeometric functions of logarithmic type. The first main result is to prove the congruence relations that are similar to Dwork's. The second main result is that the special values
Asakura, Masanori
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6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values [PDF]
, 2011 Anomalous dimension of the simplest nontrivial single impurity operator in the beta=1/2 deformed theory is determined at six loops from the AdS/CFT correspondence.
Bajnok, Zoltan, Deeb, Omar el
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Approximation to Distribution of Product of Random Variables Using Orthogonal Polynomials for Lognormal Density [PDF]
, 2012 We derive a closed-form expression for the orthogonal polynomials associated with the general lognormal density. The result can be utilized to construct easily computable approximations for probability density function of a product of random variables ...
Hämäläinen, Jyri +3 more
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Large Deviations For Sticky Brownian Motions
, 2020 We consider n-point sticky Brownian motions: a family of n diffusions that evolve as independent Brownian motions when they are apart, and interact locally so that the set of coincidence times has positive Lebesgue measure with positive probability ...
Barraquand, Guillaume, Rychnovsky, Mark
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On the Invariance of Residues of Feynman Graphs [PDF]
, 2001 We use simple iterated one-loop graphs in massless Yukawa theory and QED to pose the following question: what are the symmetries of the residues of a graph under a permutation of places to insert subdivergences.
Bauer +33 more
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