Results 91 to 100 of about 40,502 (261)

The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties

Journal of Innovative Applied Mathematics and Computational Sciences
In this paper, we introduce the extended Exton's hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ using the extended beta function given by \"{O}zergin et al.
Ahmed Atash, Hussein Bellehaj
doaj   +1 more source

Notes on algebraic functions

International Journal of Mathematics and Mathematical Sciences, 2003
Consideration of the monodromy group of the hypergeometric equation z(1−z)w″+[γ−(1+α+β)z]w′−αβw=0, in the case of α=1/6, β=5/6, γ=7/6, shows that the global hypergeometric function solution F(1/6;5/6;7/6;z) is nonalgebraic although it has only algebraic ...
Guan Ke-Ying, Lei Jinzhi
doaj   +1 more source

Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

Advances in Difference Equations, 2020
This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler ...
Kottakkaran Sooppy Nisar, D. L. Suthar, R. Agarwal, S. D. Purohit   +3 more
doaj   +1 more source

Algorithms for the indefinite and definite summation

, 1994
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of hypergeometric terms $F(n,k)$ is extended to certain nonhypergeometric terms. An expression $F(n,k)$ is called a hypergeometric term if both $F(n+1,k)/F(n,
Koepf, Wolfram
core   +3 more sources

Hypergeometric Properties of Genus 3 Generalized Legendre Curves

, 2017
Inspired by a result of Manin, we study the relationship between certain period integrals and the trace of Frobenius of genus 3 generalized Legendre curves. We show that both of these properties can be computed in terms of "matching" classical and finite
Goodson, Heidi
core   +1 more source

HiST: Histological Images Reconstruct Tumor Spatial Transcriptomics via MultiScale Fusion Deep Learning

Advanced Science, EarlyView.
HiST, a multiscale deep learning framework, reconstructs spatially resolved gene expression profiles directly from histological images. It accurately identifies tumor regions, captures intratumoral heterogeneity, and predicts patient prognosis and immunotherapy response.
Wei Li, Dong Zhang, Eryu Peng, Shijun Shen, Hamid Alinejad‐Rokny, Yao Liu, Junke Zheng, Cizhong Jiang, Youqiong Ye   +8 more
wiley   +1 more source

A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments

Axioms
In this paper, the authors briefly review some closed-form formulas of the Gauss hypergeometric function at specific arguments, alternatively prove four of these formulas, newly extend a closed-form formula of the Gauss hypergeometric function at some ...
Yue-Wu Li, Feng Qi
doaj   +1 more source

Single‐Cell Profiling Across Immune Tissues and Organs Reveals Immunosenescence Signatures in Male Rhesus Monkeys

Advanced Science, EarlyView.
Single‐cell profiling across bone marrow, spleen, mesenteric lymph, and blood in rhesus monkeys reveals organ Immunosenescence. GZMB rises with age, particularly in cytotoxic and terminally exhausted CD8+ T cells, and BHLHE40 emerges as a key transcription factor enriched across multiple CD8+ subsets, regulating pro‐inflammatory and exhaustion‐related ...
Shengnan Wang, Zhengna Zhu, Hongju Yang, Yaping Yan, Luyao Ran, Naixue Yang, Yichao Wang, Li Wu, Bing Bai, Weizhi Ji, Wei Si   +10 more
wiley   +1 more source

Irradiated Tumor Cell‐Derived Microparticles Activate Systemic Anti‐Tumor Immunity via the STING/NLRP3/GSDMD Axis in Neutrophils

Advanced Science, EarlyView.
Radiotherapy induces tumor cells to release microparticles (RT‐MPs) into the circulation. The mitochondrial DNA carried by these RT‐MPs activates the STING/NLRP3/GSDMD axis in splenic neutrophils, triggering IL‐1β secretion. This, in turn, enhances dendritic cell function and facilitates the formation of cytotoxic T lymphocytes, thereby promoting ...
Yan Hu, Jiacheng Wang, Mengjie Che, Zheng Yang, Jingshu Meng, Xiao Yang, Yue Deng, Zhiyuan Zhou, Yijun Wang, Wenwen Wei, Zhanjie Zhang, Bian Wu, You Qin, Kunyu Yang, Honglin Jin, Fang Huang, Yajie Sun, Lu Wen, Chao Wan   +18 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