Results 41 to 50 of about 12,141 (198)
New Extension of Beta Function and Its Applications
In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
Mehar Chand, Hanaa Hachimi, Rekha Rani
doaj +1 more source
A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach [PDF]
The purpose of this note is to provide an alternative proof of two transformation formulas contiguous to that of Kummer’s second transformation for the confluent hypergeometric function 1F1 using a differential equation ...
Kodavanji, S. +2 more
core +2 more sources
Integrated multi‐omic profiling maps the gene‐regulatory landscape of the coelomic mesothelium across heart, lung, and pancreas. A cardiac‐restricted regulatory program is uncovered in which TBX20 activates heart mesothelial (epicardial) cis‐regulatory elements, while MAF emerges as a conserved regulator of mesothelial identity.
Quang Minh Dang +3 more
wiley +1 more source
In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
doaj +1 more source
A MATLAB program for the computation of the confluent hypergeometric function Φ2 [PDF]
We here present a sample MATLAB program for the numerical evaluation of the confluent hypergeometric function Φ2. This program is based on the calculation of the inverse Laplace transform using the algorithm suggested by Simon and Alouini in their ...
Lopez-Martinez, F. Javier +3 more
core
This study constructed the first spatiotemporal multi‐omics map of peach fruit and discovered a key candidate gene that synergistically regulates trichome development and drought tolerance through the jasmonic acid signaling pathway, providing insights into the coupling mechanism between development and stress resistance.
Zhixin Liu +9 more
wiley +1 more source
Exact solution of the Schr\"odinger equation for the inverse square root potential $V_0/{\sqrt{x}}$
We present the exact solution of the stationary Schr\"odinger equation equation for the potential $V=V_0/{\sqrt{x}}$. Each of the two fundamental solutions that compose the general solution of the problem is given by a combination with non-constant ...
Ishkhanyan, A. M.
core +1 more source
Dysregulated TCA cycle contributes to Alzheimer's disease (AD) pathogenesis. Here, we show that microglial isocitrate dehydrogenase 1 (IDH1) is a critical driver. Elevated IDH1 disrupts citrate metabolism and mitochondrial function, exacerbating AD pathology.
Qianqian Li +13 more
wiley +1 more source
Floral meristem (FM) activity is crucial for the initiation of floral organs. In this study, SE represses IPT7 expression and cytokinin signaling via both the miR171c‐5p–KNAT2 and miR164c–CUC1/2–KNAT2 regulatory modules, thereby repressing FM activity. In contrast, STM induces both KNAT2 and IPT7 expression.
Wen Yang +11 more
wiley +1 more source
Dissecting Pirtobrutinib Resistance in Mantle Cell Lymphoma Through Single‐Cell Multi‐Omics
ABSTRACT Pirtobrutinib (PBN), a non‐covalent BTK inhibitor, has been approved by the FDA for relapsed/refractory mantle cell lymphoma (MCL); however, resistance to PBN has been observed. To dissect the molecular dynamics driving PBN resistance, we performed integrative single‐cell multi‐omic profiling (scRNA‐seq, scATAC‐seq, and scDNA‐seq) on ...
Fangfang Yan +10 more
wiley +1 more source

