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This study demonstrates that aging induces oxidative stress and inflammation in the hematopoietic immune system, resulting in immune homeostasis dysfunction, including alterations in B cells and hematopoietic stem cells, senescent cells (SnCs) accumulation, and senescence‐associated secretory phenotypes (SASPs) production. Notably, the study highlights
Xiuxing Liu+11 more
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In-depth analysis of 17,115 rice transcriptomes reveals extensive viral diversity in rice plants. [PDF]
Zhu Y+6 more
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Binomial Identities and Hypergeometric Series [PDF]
(1987). Binomial Identities and Hypergeometric Series. The American Mathematical Monthly: Vol. 94, No. 1, pp. 36-46.
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Binomial convolutions and hypergeometric identities
Rendiconti del Circolo Matematico di Palermo, 1994By means of formal power series calculus, some new recurrences on the generating functions for the generalized Abel and Gould coefficients are derived from the Gould's work (1956–1961), which yield equivalently several convolution formulas of binomial coefficients.
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Hypergeometric Transformations and Identities
1999Gauss's work on the hypergeometric equation contains a discussion of the monodromy question for the solutions of this equation. Gauss found and analyzed a quadratic transformation of hypergeometric functions; this apparently led him to the problem of monodromy.
Richard Askey+2 more
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On a Curious q-Hypergeometric Identity
2012In this paper, we examine the limiting behavior of solutions to an infinite set of recursions involving q-factorial terms as q→1. The underlying problem is sensitive to small perturbations and the very existence of a limit, to say nothing of its precise form, is surprising.
Arieh Iserles, M. J. Cantero
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On hypergeometric identities related to zeta values
European Journal of Mathematics, 2017Two linear forms, \(\sigma _n \zeta (5)+\tau _n \zeta (3)+\varphi _n\) and \(\sigma _n\zeta (2)+\tau _n/2\), with suitable rational coefficients \(\sigma _n,\tau _n,\varphi _n\), are presented. As a byproduct, we obtain an identity between simple and double binomial sums, where the simple sum is the value of a terminating well-poised Saalschutzian ...
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