Results 61 to 70 of about 40,939 (252)

Some new generalized integral transformations and their application in differential equations theory

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
We present new integral transforms, generalized the classical Laplace, Stieltjes and Widder integral transforms in the potential theory. The (τ,β)-generalized confluent hypergeometric functions are the kernels of these integral transforms.
S. M. Zaikina, O. A. Repin
doaj   +3 more sources

A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2014
We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to Cho-Kwon-Srivastava operator.
F. Ghanim, M. Darus
doaj   +1 more source

On hypergeometric series reductions from integral representations, the Kampe de Feriet function, and elsewhere

, 2006
Single variable hypergeometric functions pFq arise in connection with the power series solution of the Schrodinger equation or in the summation of perturbation expansions in quantum mechanics.
Abramowitz M., Appell P., Gradshteyn I. S., Luke Y. L., MARK W. COFFEY, Niukkanen A. W., Slater L. J.   +6 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

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +1 more source

Results Concerning the Analysis of Multi-Index Whittaker Function

Journal of Mathematics, 2022
A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci   +3 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

Extended Conformable K-Hypergeometric Function and Its Application

Advances in Mathematical Physics
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum, Aya Mohammed Dhiaa, Abid Mahboob, Muhammad Waheed Rasheed, Abdu Alameri   +4 more
doaj   +1 more source

Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method [PDF]

, 2009
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = 0, where σ and τ are polynomials of degrees not higher than 2 and 1, respectively, and λ is a constant.
Fernandes, Cibele M., Santos Cardoso, José Luis dos, Álvarez Nodarse, Renato   +2 more
core  

Extensions of the Classical Transformations of 3F2

, 2019
It is shown that the classical quadratic and cubic transformation identities satisfied by the hypergeometric function ${}_3F_2$ can be extended to include additional parameter pairs, which differ by integers.
Maier, Robert S.
core   +1 more source