Results 61 to 70 of about 133,643 (206)
Partial Sums of Two Quartic q-Series
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
Wenchang Chu, Chenying Wang
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Advanced Genetics, EarlyView.Here, causal relations are examined between 2940 plasma proteins and 19 cardiovascular diseases (CVD) using a human genetics‐based method. 218 proteins are found whose blood levels influence CVD risks, with about half being new discoveries and largely confirmed in an independent cohort.
Chen Li +13 more
wiley +1 more source
Overpartition pairs and two classes of basic hypergeometric series
, 2007 We study the combinatorics of two classes of basic hypergeometric series. We first show that these series are the generating functions for certain overpartition pairs defined by frequency conditions on the parts.
Lovejoy, Jeremy, Mallet, Olivier
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iMetaOmics, EarlyView.This study has elucidated the role of three swine acute diarrhea syndrome coronavirus (SADS‐CoV) accessory proteins in influencing viral pathogenicity and preliminarily explored the host molecular targets and pathways affected by the NS3a, NS7a, and NS7b proteins of SADS‐CoV.
Xiaoling Yan +7 more
wiley +1 more source
A Bilateral Series Involving Basic Hypergeometric Functions [PDF]
, 2005 We prove a summation formula for a bilateral series whose terms are products of two basic hypergeometric functions. In special cases, series of this type arise as matrix elements of quantum group representations.
openaire +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.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
wiley +1 more source
Molecular Nutrition &Food Research, EarlyView.Over half of patients with colorectal cancer experience severe chemotherapy‐induced side effects. The B‐vitamin folate may play a role in these side effects, potentially by altering DNA methylation, a mechanism of gene regulation. Our comprehensive literature search identified studies investigating DNA methylation associated with folate status/intake ...
Nienke R. K. Zwart +3 more
wiley +1 more source
Aging Cell, EarlyView.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
wiley +1 more source
A new A_n extension of Ramanujan's 1-psi-1 summation with applications to multilateral A_n series
, 2000 In this article, we derive some identities for multilateral basic hypergeometric series associated to the root system A_n. First, we apply Ismail's argument to an A_n q-binomial theorem of Milne and derive a new A_n generalization of Ramanujan's 1-psi-1 ...
Milne, S. C., Schlosser, M.
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Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which ...
Robin Langer +2 more
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