Results 61 to 70 of about 860 (206)
Some New Bounds for Bateman’s G-Function in Terms of the Digamma Function [PDF]
In this paper, we present some new symmetric bounds for Bateman’s G-function and its derivatives, in terms of the digamma and polygamma functions, which are better than some recent ...
Hesham Moustafa, Waad Al Sayed
core +1 more source
Certain Geometric Study Involving the Barnes–Mittag-Leffler Function
The main purpose of this paper is to study certain geometric properties of a class of analytic functions involving the Barnes–Mittag-Leffler function. The main mathematical tools are the monotonicity patterns of some class of functions associated with ...
Abdulaziz Alenazi, Khaled Mehrez
doaj +1 more source
Best Approximation for the k-digamma Functions
In this paper, we show a best approximation for the k-digamma functions.
X. H. Deng, L. Yin, J. Zhao
openaire +2 more sources
Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments
ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley +1 more source
Overall, PFS2 correlated more strongly with OS than PFS (0.83 vs. 0.69). PFS2 outperformed PFS in patients with targetable alterations and in those without. Our findings support using PFS2 as a candidate surrogate endpoint in glioblastoma trials. Implementing PFS2 balances trial feasibility with clinical relevance of outcomes.
Jesús Yaringaño +21 more
wiley +1 more source
A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum [PDF]
In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sum are founded, and an equivalent relation between the complete monotonicity and one of the class ...
Qi, Feng
core
Bi‐Directional Recurrent Attentional Topic Model Using Flexible Priors
ABSTRACT This article presents extensions to the Bi‐Directional Recurrent Attentional Topic Model (bi‐RATM) framework, a Dirichlet‐based model used in text document analysis. The allocation of topics to a sentence in a document is determined by its content as well as the topics of its neighboring sentences, and the weighting is typically variable. Many
Pantea Koochemeshkian, Nizar Bouguila
wiley +1 more source
A modular relation involving a generalized digamma function and asymptotics of some integrals containing ?(t) [PDF]
A modular relation of the form F(?,w)=F(?,iw), where i=??1and ??=1, is obtained. It involves the generalized digamma function ?w(a) which was recently studied by the authors in their work on developing the theory of the generalized Hurwitz zeta function ?
Kumar, Rahul, Dixit, Atul
core
From OPE to chiral perturbation theory in holographic QCD
The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply with the OPE.
Cappiello Luigi +2 more
doaj +1 more source
A fractional residue theorem and its applications in calculating real integrals
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source

