Results 61 to 70 of about 3,527,371 (263)

Evaluation of certain families of log-cosine integrals using hypergeometric function approach and applications [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we provide the analytical solutions of the families of certain definite integrals: ∫₀^π xᵐ{ln(2cos(x/2)}ⁿ dx (m∈ℕ₀ and n∈ℕ), in terms of multiple hypergeometric functions of Kampe de Feriet having the arguments ±1 and Riemann zeta ...
Mohammad Idris Qureshi, Shakir Hussain Malik   +1 more
doaj   +1 more source

On the Zeros of Some Generalized Hypergeometric Functions

Journal of Mathematical Analysis and Applications, 2000
The paper is concerned with the confluent hypergeometric function \[ F= {_pF_p}(a_1,\dots, a_p; b_1,\dots, b_p; z). \] It is assumed that the parameters are real, no numerator parameter equals zero or a negative integer, and the denominator parameters are positive.
Ki, Haseo, Kim, Young-One
openaire   +2 more sources

Gapless Complete Genome and Multi‐Omics Illuminate Immune Adaptation and Host‐Virus Interactions in a Coronavirus Reservoir

Advanced Science, EarlyView.
We present a complete T2T genome assembly for a key bat reservoir. Integrating population genomics, comparative genomics, transcriptomics, single‐cell omics, and functional assays, we resolve previously inaccessible genomic regions and identify evolutionary signatures associated with immune adaptation.
Yuting Wang, Sheng Zhang, Linxia Ouyang, Xin Du, Xin Huang, Zhilin Wang, Huixian Xie, Jiale Tang, Liyi Lou, Wenqing Ling, Weihao Wang, Jiang Zhou, Zhen Liu, Yibo Hu, Fuwen Wei, Guangping Huang   +15 more
wiley   +1 more source

A Class of Generalized Hypergeometric Functions in Several Variables

, 1992
We study a class of generalized hypergeometric functions in several variables introduced by A. Korânyi. It is shown that the generalized Gaussian hypergeometric function is the unique solution of a system partial differential equations. Analogues of some
Zhimin Yan
core   +1 more source

Explicit evaluation of some families of log-sine integrals via the hypergeometric mechanism and their applications [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we present explicit analytical expressions for certain families of log-sine definite integrals: ∫ₒ^2π xᵐ{ln(2sin(x/2))}ⁿdx (m∈ℕ₀, n∈ℕ), expressed in terms of multiple hypergeometric functions of the Kampe de Feriet with arguments ±1 and ...
Shakir Hussain Malik, Mohammad Idris Qureshi   +1 more
doaj   +1 more source

Cross‐Organ Multi‐Omics Profiling of Systemic Alterations in 5xFAD Mice and Changes Associated with Huanglian Jiedu Decoction Treatment

Advanced Science, EarlyView.
Cross‐organ multi‐omics reveals coordinated inflammatory and metabolic disturbances in 5xFAD mice. Huanglian Jiedu Decoction improves cognition and alleviates brain and liver abnormalities. Complementary hepatocyte–microglia conditioned‐medium experiments suggest PPAR‐γ involvement in treatment‐associated changes in microglial inflammation, providing ...
Wenya Gao, Jing Gao, Xiaohui Su, Xiangying Kong, Xiaolu Wei, Tunan Ding, Tiantian Guo, Shuangrong Gao, Yanyan Zhou, Junyi Zhou, Haiyu Zhao   +10 more
wiley   +1 more source

Expansions of hypergeometric functions in hypergeometric functions

, 1961
In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions I v ( z ) {I_v}(z) .
Jerry L. Fields, Jet Wimp
core   +1 more source

Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions

, 2022
A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric functions defined in ∆={z∈C:|z|<1} is introduced.
Jin-Lin Liu, Srivastava, Rekha, Zhai, Jie, Liu, Jin-Lin, Rekha Srivastava, Jie Zhai   +5 more
core   +1 more source

PHGDH‐Mediated Serine Metabolism in Nucleus Pulposus Cells Is a Potential Therapeutic Target for Intervertebral Disc Degeneration

Advanced Science, EarlyView.
When nucleus pulposus cells senesce, PHGDH decreases, reducing serine synthesis and glutathione, impairing antioxidant capacity. The intermediate α‐KG also drops, lowering JMJD3 demethylase activity, increasing H3K27me3 at the Rap1b promoter, and reducing Rap1b expression, whose down‐regulation in turn activates mTORC1 and suppresses autophagy ...
Hao‐Wei Xu, Sheng‐Jie Chang, Xiao‐Wei Liu, Shu‐Bao Zhang, Ying‐Jie Wang, Shan‐Jin Wang   +5 more
wiley   +1 more source

On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions [PDF]

, 2008
Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated.
Purohit, S., Yadav, R., Kalla, S.
core   +1 more source