Results 41 to 50 of about 3,218 (147)

Bases in the solution space of the Mellin system

, 2006
Local holomorphic solutions z=z(a) to a univariate sparse polynomial equation p(z) =0, in terms of its vector of complex coefficients a, are classically known to satisfy holonomic systems of linear partial differential equations with polynomial ...
Dickenstein, Alicia, Sadykov, Timur
core   +2 more sources

On the analytic extension of the Horn's hypergeometric function $H_4$

Carpathian Mathematical Publications
The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function $H_4$ with real and complex parameters. These domains enabled the PC method to establish the analytical extension of analytical functions to their expansions in the studied domains of convergence.
Dmytryshyn, R., Lutsiv, I.-A., Dmytryshyn, M.   +2 more
openaire   +1 more source

H2S‐Releasing Aspirin Nanoparticles Alleviate Endometriosis and Associated Anxiety

Advanced Science, EarlyView.
Albumin nanoparticles loaded with an H2S‐releasing aspirin derivative (ACS14) hitchhiking neutrophils after intraperitoneal injection and preferentially accumulate in endometriosis lesions in mice. The treatment suppresses lesion growth by regulating PI3K/Akt and reduces inflammation by inhibiting NF‐κB.
Mengni Zhou, Renbin Dou, Rong Wu, Yunyu Xu, Ying Wang, Peng Wang, Jinfu Li, Pengcheng Lu, Yu Mao, Jieying Qian, Yunjiao Zhang, Jiqian Zhang, Shasha Zhu   +12 more
wiley   +1 more source

Human Atlas of Tooth Decay Progression: Identification of Cellular Mechanisms Driving the Switch from Dental Pulp Repair Toward Irreversible Pulpitis

Advanced Science, Volume 13, Issue 8, 9 February 2026.
Tooth decay progression transforms the dental pulp response from repair to fibrosis. At early stages, stromal cells reprogram to repair the extra cellular matrix (ECM), blood vessels, and nerves, remodel and grow, keeping repair possible. In advanced decay, hypoxia, and vessel regression, in complement with an immune switch, fuel nerve degeneration and
Hoang Thai Ha, Sofya Kosmynina, Amandine Verocq, Keremsah Ozen, Ines Tekia, Hugo Bussy, Marie Ramirez, Dima Sabbah, Chloe Goemans, Valerie Vandenbempt, Esteban N. Gurzov, Sumeet Pal Singh, Nicolas Baeyens   +12 more
wiley   +1 more source

A massive Feynman integral and some reduction relations for Appell functions

, 2007
New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the
Abramowitz M., Appell P., Bailey W. N., Diehl H. W., Erdélyi A., M. A. Shpot, Prudnikov A., Slater L. J., Srivastava H. M., Tarasov V. F.   +9 more
core   +1 more source

Applications of q-Real Numbers to Triple q-Hypergeometric Functions and q-Horn Functions

Mathematics, 2023
The purpose of this article is to study how q-real numbers can be used for computations of convergence regions, q-integral representations of certain multiple triple q-Lauricella functions. The corresponding q-difference equations are also given without proof. In the process, we slightly improve Exton’s original formulas.
openaire   +3 more sources

Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

, 2009
The method for obtaining functional equations, recently proposed by one of the authors, is applied to one-loop box integrals needed in calculations of radiative corrections to heavy-quark production and Bhabha scattering. We present relationships between
Appell, Beenakker, Bern, Bern, Bern, Bernd A. Kniehl, Bhabha, Bonciani, Bonciani, Bytev, Davydychev, Davydychev, Duplancic, Duplancic, Erdélyi, Fleischer, Fleischer, Fleischer, Huber, Huber, Huber, Kalmykov, Kalmykov, Kalmykov, Kazakov, Kurihara, Körner, Nason, Nason, Nason, Oleg V. Tarasov, Prudnikov, Srivastava, Tarasov, Tarasov, Tarasov, Tarasov, van Neerven   +37 more
core   +1 more source

On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions

Mathematics
In this paper, a new class of kernels of integral transforms of the Laplace convolution type that we named symmetrical Sonin kernels is introduced and investigated.
Yuri Luchko
doaj   +1 more source

A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations

, 2013
We consider A-hypergeometric functions associated to normal sets in the plane. We give a classification of all point configurations for which there exists a parameter vector such that the associated hypergeometric function is algebraic. In particular, we
Bod, Esther
core   +1 more source

Slo1 Deficient Myoblast Exosomes‐Derived miR‐222‐3p Inhibits Osteogenic Differentiation via Targeting of STAT3

Journal of Cachexia, Sarcopenia and Muscle, Volume 16, Issue 6, December 2025.
ABSTRACT Background Previous research has shown that the conditional knockout of Slo1 in muscle leads to a reduction in muscle strength and inhibits myogenic differentiation. Exosomes are emerging as necessary mediators of the crosstalk between muscle and bones.
Yonghui Wang, Xinrun Ma, Yang Chen, Chao Xia, Xue Lei, Junran Liu, Yunyi Jiang, Rang Xu, Yanhong Gao   +8 more
wiley   +1 more source