On the Asymptotic Expansions of the (p,k)-Analogues of the Gamma Function and Associated Functions
General asymptotic expansion of the (p,k)-gamma function is obtained and various approaches to this expansion are studied. The numerical precision of the derived asymptotic formulas is shown and compared.
Tomislav Burić
doaj +1 more source
Asymptotic one-point functions in AdS/dCFT
We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect version of N=4
Buhl-Mortensen, Isak +4 more
core +1 more source
Achieving Chemical Accuracy in Cyclodextrin Host–Guest Binding via Integrative Atomistic Modelling
A generalizable computational framework is presented that overcomes long‐standing challenges in modelling cyclodextrin host‐guest binding by integrating host‐specific force‐field refinement, equilibrium enhanced sampling, nonequilibrium alchemical switching, convolution sampling of independent works, rigorous finite‐size corrections, and QM‐based ...
Xiaohui Wang +7 more
wiley +1 more source
UNIFORM ASYMPTOTIC FORMULAS FOR RESTRICTED BIPARTITE PARTITIONS [PDF]
In this paper, we investigate $\unicode[STIX]{x1D70B}(m,n)$, the number of partitions of the bipartite number$(m,n)$ into steadily decreasing parts, introduced by Carlitz [‘A problem in partitions’, Duke Math. J.30 (1963), 203–213]. We give a relation between $\unicode[STIX]{x1D70B}(m,n)$ and the crank statistic $M(m,n)$ for integer partitions.
openaire +3 more sources
Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues
By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu +3 more
wiley +1 more source
Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings.
Nicolae Adriana
doaj
Multi‐Tissue Omics Analysis Uncovers Translational Regulation Underlying Complex Traits in Pigs
Integrated multi‐omics across pig breeds and tissues reveals key principles of post‐transcriptional translational regulation and their contribution to trait formation. A gene network framework integrating transcriptomic and translatomic data is developed and applied to elucidate the genetic basis of meat production, offering new insights into mammalian
Chao Wang +13 more
wiley +1 more source
Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)
The stability of -dimensional linear fractional differential systems with commensurate order and the corresponding perturbed systems is investigated.
Zhang Fengrong, Li Changpin
doaj
A note on the exact formulas for certain $2$-color partitions
Let $p\le 23$ be a prime and $a_p(n)$ count the number of partitions of $n$ where parts that are multiple of $p$ come up with $2$ colors. Using a result of Sussman, we derive the exact formula for $a_p(n)$ and obtain an asymptotic formula for $\log a_p(n)
Guadalupe, Russelle
doaj +1 more source
Canonical structure of BHT massive gravity in warped AdS3 sector
We investigate the asymptotic structure of the three dimensional Warped Anti-de Sitter (WAdS3) black holes in the Bergshoeff–Hohm–Townsend (BHT) massive gravity using the canonical Hamiltonian formalism.
Davood Mahdavian Yekta
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