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Contiguous relations of hypergeometric series [PDF]

, 2003
The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters).
Vidūnas, Raimundas, Vidûnas, R.
core   +1 more source

Integral representations for a class of triple confluent hypergeometric functions and their applications in boundary value problems

Қарағанды университетінің хабаршысы. Математика сериясы
Hypergeometric functions are divided into complete and confluent functions. Srivastava and Karlsson were the first to propose a method for constructing the complete set of triple Gaussian hypergeometric series and compiled a table containing definitions
A. Hasanov, T.G. Ergashev, A.R. Ryskan
doaj   +1 more source

Expansion of hypergeometric functions in series of other hypergeometric functions [PDF]

, 1961
In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different expansion of the same kind given by Buchholz [2] was also studied.
Yudell L. Luke, Richard L. Coleman
core   +1 more source

Some Combinatorics of the Hypergeometric Series

European Journal of Combinatorics, 1988
Symmetry formulas for the classical hypergeometric series \({}_ 2F_ 1\) are proved combinatorially. The idea of the proofs is to find weighted combinatorial structures which form models for each side of the formula and to show how to go from the first to the second model by a `weak isomorphism' (i.e.
Jacques Labelle, Yeong-Nan Yeh
openaire   +1 more source

eQTL Meta‐Analysis Reveals Conserved and Population‐Specific Regulatory Variation Underlying Nutritional Trait Evolution and Domestication in Tomato

Advanced Science, EarlyView.
A comprehensive meta‐analysis of expression quantitative trait loci (eQTLs) across five diverse tomato populations reveals a high‐resolution atlas of transcriptional regulation and uncovers conserved and population‐specific regulatory architectures underlying fruit nutritional quality traits, including flavonoids, sugars, organic acids, carotenoids ...
Jiantao Zhao, Xin Wang, Jing Zhang, Ryan McQuinn, Je Min Lee, Itay Gonda, Ari Feder, Yimin Xu, Baike Wang, Qinghui Yu, Denise M. Tieman, Sanwen Huang, Harry Klee, James J. Giovannoni, Zhangjun Fei   +14 more
wiley   +1 more source

Some Remarks on Very-Well-Poised 8ϕ7 Series

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised 8ϕ7 series.
Jasper V. Stokman
doaj   +1 more source

Series of Convergence Rate −1/4 Containing Harmonic Numbers

Axioms, 2023
Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients.
Chunli Li, Wenchang Chu
doaj   +1 more source

TME/NIR Dual‐Responsive Zinc‐Based Targeted Nanoagonist for Multimodal Amplification of STING‐Mediated Cancer Immunotherapy

Advanced Science, EarlyView.
A multifunctional nanoagonist (cDZ@IP) enables nano‐metabolite–driven multimodal activation of the STING pathway and enhanced immune recognition, achieving potent antitumor immunity and suppressing tumor growth and metastasis. This strategy highlights the rational design of therapeutic metabolites and establishes a new paradigm bridging nanomedicine ...
Kepeng Hu, Jiawei Wang, Wei Zhang, Zhixuan Wu, Jing Chen, Yujing He, Xiyue Duan, Yaoting He, Xin Xin, Haoyi Xiang, Yijing Wang, Chengwei Wu, Yang Yi, Qing Meng, Yuqian Qiao, Kui Cheng, Xiaojun Long, Zhangfa Song   +17 more
wiley   +1 more source

Generalized Dirac Oscillator in Cosmic String Space-Time

Advances in High Energy Physics, 2018
In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential ...
Lin-Fang Deng, Chao-Yun Long, Zheng-Wen Long, Ting Xu   +3 more
doaj   +1 more source

A Non‐Canonical Core Transcriptional Regulatory Circuit Orchestrates Chromatin Reprogramming to Drive Osimertinib Resistance in Non‐Small Cell Lung Cancer

Advanced Science, EarlyView.
A non‐canonical core transcriptional regulatory circuit, composed of ID3, SMAD3, and NR2F2, drives Osimertinib resistance in non‐small cell lung cancer through super‐enhancer‐mediated activation of EPAS1, which couples neuroendocrine differentiation with ferroptosis evasion.
Aochu Liu, Zhenguo Liu, Lizhen Jiang, Andong Huang, Xinqing Lin, Xinyue Li, Bingyuan Liu, Shiwen Hu, Qiang Pan, Junjun Huang, Liyuan Yin, Liling Jiang, Wei Yi, Wenjun Mao, Yueyuan Zheng, Xianping Shi   +15 more
wiley   +1 more source