Results 51 to 60 of about 94,918 (265)

Some integral properties in the theory of generalized $k-$Bessel matrix functions

Journal of Innovative Applied Mathematics and Computational Sciences
The main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani, Ghazi S. Khammash, Ayman Shehata   +2 more
doaj   +1 more source

A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]

Sahand Communications in Mathematical Analysis, 2019
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$.
Santosh B. Joshi, Haridas H. Pawar, Teodor Bulboaca   +2 more
doaj   +1 more source

Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation

, 2000
We present the q-deformed multivariate hypergeometric functions related to Schur polynomials as tau-functions of the KP and of the two-dimensional Toda lattice hierarchies.
A.Yu. Orlov, Adler, D.M. Scherbin, Dickey, Dryuma, Gelfand, Gerasimov, Graev, Jimbo, Loutsenko, Mikhailov, Miwa, Morozov, Morozov, Nakatsu, Odzijevicz, Orlov, Segal, Takasaki, Takasaki, Takebe, Ueno, Zakharov, Zakharov   +23 more
core   +1 more source

Enhanced Infection Resistance and Regenerative Healing of Titanium Implants via Peptide‐Loaded Biodegradable Coatings

Advanced Materials Technologies, EarlyView.
This study presents a new biodegradable coating for titanium implants using a natural antimicrobial peptide, caerin 1.9. Applied via solvent casting, the coating offers sustained antibacterial protection and promotes healing. Tested on 3D‐printed porous titanium scaffolds, it effectively prevented infection—including against resistant bacteria—while ...
Hejie Li, Tianfang Wang, Nicolas Soro, Guoying Ni, Meg Allom, D. İpek Kurtböke, Xiaosong Liu, Damon Kent   +7 more
wiley   +1 more source

Relations Established Between Hypergeometric Functions and Some Special Number Sequences

Axioms
In this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
doaj   +1 more source

Incomplete Caputo fractional derivative operators

Advances in Difference Equations, 2018
The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
doaj   +1 more source

Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions

Abstract and Applied Analysis, 2023
Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations ...
Mohamed Niyaz, Ahmed H. Soliman, Ahmed Bakhet   +2 more
doaj   +1 more source

PD‐1 Inhibits CD4+ TRM‐Mediated cDC1 Mobilization via Suppressing JAML in Human NSCLC

Advanced Science, EarlyView.
CD4+ tissue‐resident memory T cells (TRMs) in non‐small cell lung cancer recruit conventional type 1 dendritic cells via XCL1‐XCR1 signaling, orchestrating antitumor immunity. The costimulatory molecule JAML is essential for this process. PD‐1 blockade restores JAML expression and cDC1 mobilization, while JAML agonists synergize with anti‐PD‐1 therapy,
Zheyu Shao, Qinyuan Liu, Zhongwei Xin, Zhiyao Zhou, Mingjie Lin, Di Chen, Zhixing Hao, Yongyuan Chen, Wenxuan Wu, Shuyang Zhang, Xiaoke Chen, Xia Xu, Jinfan Li, Wei Lin, Yuhao Lu, Dang Wu, Pin Wu   +16 more
wiley   +1 more source

Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications

, 2012
A series expansion for Heckman-Opdam hypergeometric functions $\varphi_\lambda$ is obtained for all $\lambda \in \mathfrak a^*_{\mathbb C}.$ As a consequence, estimates for $\varphi_\lambda$ away from the walls of a Weyl chamber are established.
Narayanan, E. K., Pasquale, A., Pusti, S.   +2 more
core   +4 more sources

Telomere‐to‐Telomere Genomes Reveal that Multiscale Evolution Shapes the Largest Metabolic Arsenal of Diaporthe Fungi

Advanced Science, EarlyView.
This study presents the first telomere‐to‐telomere genomes and population resources for Diaporthe pathogens, uncovering the largest known fungal repertoire of secondary metabolite gene clusters. Structural variations and horizontal gene transfer drive cluster diversification, while specific rapidly evolving clusters control virulence, offering novel ...
Kainan Li, Chen Zhang, Zhichao Zhang, Jiaheng Cheng, Qiuyan Gao, Long Gao, Xiaolin Zhao, Wei Yan, Yuanchao Wang, Wenwu Ye   +9 more
wiley   +1 more source