Results 61 to 70 of about 6,972,539 (190)

Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric series

open access: yes, 2009
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric ...
Lascoux, Alain   +5 more
core   +1 more source

On digamma series convertible into hypergeometric series [PDF]

open access: yes, 2023
Series containing the digamma function arise when calculating the parametric derivatives of the hypergeometric functions and play a role in evaluation of Feynman diagrams.
Çetinkaya, Asena, Karp, Dmitrii
core   +1 more source

A 209‐Site DNA Methylation Predictor of Chronological Age Evaluated Under Empirical and Random Missingness

open access: yesAging Cell, Volume 25, Issue 11, November 2026.
A stability‐selected 209‐CpG panel with nearest‐neighbor reconstruction supports chronological‐age prediction from incomplete blood methylation profiles. In held‐out samples under empirically derived missingness masks, reconstruction reduced root‐mean‐square error by 0.365 years versus mean replacement, with larger benefits at higher missingness ...
Xiangteng Zhao   +8 more
wiley   +1 more source

CRISPR/Cas9‐Mediated Knockout of LbSP1 and LbSP5G1 Reveals Efficient Customization of Shoot Architecture in Black Goji Berry

open access: yesPlant Biotechnology Journal, Volume 24, Issue 11, Page 5868-5890, November 2026.
ABSTRACT Goji is recognized as a nutritionally rich superfruit with medicinal and industrial importance. However, its inherently indeterminate growth habit causes asynchronous flowering and uneven fruit ripening, resulting in harvesting inefficiency with high labour costs and low fruit yield.
Fazal Rehman   +7 more
wiley   +1 more source

Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series

open access: yes, 2006
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that several terminating summation and transformation formulas for basic hypergeometric series can be proved in a straightforward way.
Zeng, Jiang, Guo, Victor J. W.
core   +7 more sources

A short proof of an identity of Sylvester

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth's proof and is analogous to Macdonald's proof of a related identity of Milne.
Gaurav Bhatngar
doaj   +1 more source

Modeling of regional magnetic field applying spherical functions: theoretical aspect

open access: yesГеофизический журнал, 2019
Observation of geomagnetic field, measurement of its components values and establishment on their base models of geomagnetic field as well as geomagnetic mapping are the main trend of geomagnetic studies.
Yu. P. Sumaruk   +2 more
doaj   +1 more source

Structural Polymorphism of polyG Inclusions Revealed by In Situ Cryo‐Electron Tomography

open access: yesAdvanced Science, Volume 13, Issue 56, 9 October 2026.
Correlative cryo‐electron tomography in primary cortical neurons and NIID mouse brain tissue reveals that polyG inclusions are interconnected ribbon‐like assemblies rather than canonical amyloid fibrils. Multiple compartment‐specific ribbon states show distinct 26S proteasome accessibility, while cytoplasmic ribbons contact and deform ER‐like ...
Yunwen Qian   +12 more
wiley   +1 more source

An Artificially Selected Cytokinin‐Pathway Transcription Factor Balances Soybean Yield and Pathogen Resistance

open access: yesAdvanced Science, Volume 13, Issue 56, 9 October 2026.
A cytokinin pathway transcription factor, RR2b, was artificially selected during soybean domestication and improvement based on its differential transcriptional activity, which correlates with ATT repeat polymorphisms in its promoter. RR2b balances yield and defense by fine‐tuning its expression level and offers a promising target for decoupling trade ...
Qun Ma   +11 more
wiley   +1 more source

Legendre inversions and Ultra-hypergeometric series identities [PDF]

open access: yes, 2019
In this paper, we extension of hypergeometric series to obtain a new α-hypergeometric series, we establish three terminating Ultra-hypergeometric series identities, by means of Legendre inverse series relations.
., Wuyungaowa, ., Basen
core   +2 more sources

Home - About - Disclaimer - Privacy