Results 81 to 90 of about 9,846 (249)
Inversion Techniques and Combinatorial Identities: Balanced Hypergeometric Series
After constructing the duplicate form of the Gould-Hsu inversion theorem, the author applies it to the derivation of summation theorems for terminating hypergeometric series with variable unity. The first type to be considered is \[ {_{5}F_{4}}\left[ \begin{matrix} -\delta -2n,\,a+x+n,\,b+x,\,z,\,\frac{1}{2}+x-z; \\ d+2z,e+2x-2z,\frac{1}{2}\left( c+x-n\
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What's New? Unraveling the networks that regulate androgen receptor (AR) function is critical to better understanding prostate cancer development and progression. Of particular interest in this regard is the long non‐coding RNA PVT1, which regulates gene expression in cancer and is upregulated in prostate tumors.
Maria Gabriela Berzoti‐Coelho +7 more
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An identity for simplifying certain generalized hypergeometric functions [PDF]
In this paper, an identity is proved in which certain generalized hypergeometric functions N P F N Q + N − 1 _{NP}{F_{NQ + N - 1 ...
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Alternative Price Dynamics and Valuation of Flexible Strategies
ABSTRACT In this article, we study the optimal operational strategy of production projects. We investigate different underlying price models and determine the optimal barriers of transition to suspension, recovery, or irreversible abandonment of productive activity.
Cristina Bertolosi +2 more
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Hypergeometric identities related to Ruijsenaars systems
arXiv admin note: substantial text overlap with arXiv:2303 ...
N. Belousov +3 more
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$p$-adic analogues of hypergeometric identities
This is a preliminary draft, which maybe contains some mistakes.
Mao, Guo-Shuai, Pan, Hao
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In ankylosing spondylitis‐acute anterior uveitis (AS‐AAU), trained immunity monocytes (Mono‐TI) differentiate into macrophages in the eye, retaining trained immunity features. Mono‐TI cells secrete pro‐inflammatory cytokines and chemokines, including IL‐1β, TNF‐α, and CCL3.
Yimeng Sun +13 more
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A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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1H NMRD profiles of biological systems often follow a power‐law dependence rather than a Lorentzian dispersion. This behavior can arise from a broad distribution of correlation times, weighted by 1/τ 1−α. Validated across diverse systems such as sedimented proteins and biological tissues, this framework provides a physical interpretation of power‐law ...
Giacomo Parigi, Adam Kubrak
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Proteomic Changes in Cancer Cell Lines as a Result of Bacterial Infection
ABSTRACT Bacterial infections have been implicated in shaping the tumor microenvironment (TME), but their effects on cancer cell proteomes remain unexplored. In this study, we analyzed proteomic changes in melanoma (A375) and ovarian cancer (OVCAR3) cell line models following infection with Staphylococcus aureus strain USA300 or Salmonella enterica ...
Bo Ren +7 more
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