Results 51 to 60 of about 38,611 (276)

A new multivariable 6-psi-6 summation formula [PDF]

, 2006
By multidimensional matrix inversion, combined with an A_r extension of Jackson's 8-phi-7 summation formula by Milne, a new multivariable 8-phi-7 summation is derived.
C. Krattenthaler, C. Krattenthaler, D.M. Bressoud, E.M. Rains, F.H. Jackson, G. Bhatnagar, G. Gasper, G.E. Andrews, G.E. Andrews, G.M. Lilly, H. Coskun, H. Rosengren, I.B. Frenkel, J.F. Diejen van, M. Ito, M. Ito, M. Lassalle, M. Schlosser, M. Schlosser, M. Schlosser, M.E.H. Ismail, Michael Schlosser, R. Askey, R.A. Gustafson, R.A. Gustafson, S.C. Milne, S.C. Milne, S.C. Milne, S.C. Milne, T.J., l’A Bromwich, W.J. Holman III, W.N. Bailey   +31 more
core   +1 more source

Combinatorial identities and hypergeometric series

, 2022
This paper describes a method to find a connection between combinatorial identities and hypergeometric series with a number of examples. Combinatorial identities can often be written as hypergeometric series with unit argument. In a number of cases these hypergeometric series are balanced and can be reduced to a simpler form.
openaire   +2 more sources

A 3D Astrocyte Microenvironment Model Enables Rapid Ca2+‐Resolved Analysis and Therapeutic Modulation of Oxidative Neuroinflammation

Advanced Healthcare Materials, EarlyView.
This work presents ARC‐3D, a soft 3D model that recreates how brain support cells, called astrocytes, react to oxidative stress. The system visualizes rapid calcium changes and inflammatory signals, and shows how the drug KDS12025 can protect cells from damage. ARC‐3D offers a simple, reliable way to study early drivers of brain inflammation.
Ju‐Kang Kim, Ye‐Ji Kim, Seyoung Ryu, Daeui Park, Kyoung‐Sik Moon, Yu Bin Lee, Dong Ho Woo   +6 more
wiley   +1 more source

Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral [PDF]

, 2013
By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's $_6\psi_6$-series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's ...
Wang, Xiaoxia, Wei, Chuanan, Yan, Qinglun   +2 more
core  

Low‐Temperature Fabrication of Thymosin β4‐Loaded Soluble Microneedles to Promote Wound Healing by Specific Binding to Downregulated Immune Regulators Vsig4 and IL22rɑ2

Advanced Healthcare Materials, EarlyView.
Schematic diagram depicting the fabrication and application of thymosin β4 (Tβ4)‐loaded microneedle patches for wound treatment. The Tβ4 was loaded into chitosan (CS) and sucrose MNs under mild conditions (4°C, 65% relative humidity). The Tβ4 MN patch specifically binds to the downregulated immune regulators Vsig4 and IL22rα2, thereby accelerating ...
Shilong He, Mei Yuan, Changkang Feng, Yixuan Zhang, Jinjing Che   +4 more
wiley   +1 more source

On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences

Mathematics
In this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
doaj   +1 more source

On hypergeometric Bernoulli numbers and polynomials [PDF]

, 2015
In this note, we shall provide several properties of hypergeometric Bernoulli numbers and polynomials, including sums of products identity, differential equations and recurrence formulas.Comment: 12 ...
Hu, Su, Kim, Min-Soo
core  

Phase‐Separation of YAP Mediates AJUBA Super Enhancer Activation to Promote Aberrant Mitosis in Breast Cancer

Advanced Science, EarlyView.
YAP undergoes phase separation to activate the AJUBA super‐enhancer, driving aberrant mitosis through spindle checkpoint dysregulation in breast cancer. This study uncovers a mechanistic link between YAP condensates, super‐enhancer activation, and aneuploidy formation.
Rui Zhang, Qingwen Huang, Zhuo Chen, Weijian Meng, Hongliang Dong, Zhihong Qi, Liang Liu, Jie Shen, Daxing Xie   +8 more
wiley   +1 more source

A short proof of an identity of Sylvester

International 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

Expressions for values of the gamma function

, 2004
This paper presents expressions for gamma values at rational points with the denominator dividing 24 or 60. These gamma values are expressed in terms of 10 distinct gamma values and rational powers of $\pi$ and a few real algebraic numbers.
Vidunas, Raimundas
core   +1 more source