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Estimating Generating Functions
The Annals of Statistics, 1975 This note shows that, under appropriate conditions, if a function $A(\theta; t)$ of an unknown parameter $\theta$ and a real variable $t$ has an infinite series expansion and if there is a function $B(S; t)$ of the sufficient statistic $S$ which is an unbiased estimator of $A$ for every $t$ and which also has an infinite series expansion, then the ...
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An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
FEBS Letters, EarlyView.This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino +7 more
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A New Generating Function for Hermite Polynomials
International Journal of Mathematics and Mathematical SciencesThis paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
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Length and area generating functions for height-restricted Motzkin meanders
, 2021 Alexios P. Polychronakos
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A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
FEBS Letters, EarlyView.We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
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Solving arbitrary one-loop reduction via generating function
European Physical Journal C: Particles and FieldsRecently, the concept of generating function has been employed in one-loop reduction. For one-loop integrals encompassing arbitrary tensor ranks and higher-pole contributions, the generating function can be decomposed into a tensor part and a higher-pole
Tingfei Li, Yuekai Song, Liang Zhang
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On generalized heat polynomials
International Journal of Mathematics and Mathematical Sciences, 1988 We consider the generalized heat equation of nth order ∂2u∂r2+n−1r∂u∂r−α2r2u=∂u∂t. If the initial temperature is an even power function, then the heat transform with the source solution as the kernel gives the heat polynomial.
C. Nasim
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Molecular Weight Distribution Control for Polymerization Processes Based on the Moment-Generating Function. [PDF]
Entropy (Basel), 2022 Zhang J, Pu J, Ren M.
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SOME BILINEAR GENERATING FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1969 In the present paper, the author applies some of his earlier results which extend the well-known Hille-Hardy formula for the Laguerre polynomials to certain classes of generalized hypergeometric polynomials in order to derive various generalizations of a bilinear generating function for the Jacobi polynomials proved recently by Carlitz.
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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