Results 61 to 70 of about 6,079,712 (233)
Generalized Euler integrals and A-hypergeometric functions
Advances in Mathematics, 1990 In their previous works the authors have introduced a holonomic system of linear differential equations associated to a certain finite set \(A\subset \mathbb{Z}^ n\). They called this system the \(A\)-hypergeometric system, and its solutions the \(A\)-hypergeometric functions.
Gelfand, I.M +2 more
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Ecography, EarlyView.Understanding how anthropogenic pressures and environmental gradients shape coastal fish communities is a central question in biogeography and marine conservation. Yet, the set of species expected to occur at a site given ecological conditions but being absent – the so‐called dark diversity – has received far less attention than observed species, even ...
Loïc Sanchez +23 more
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On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences
MathematicsIn 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
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Generalized Dirac Oscillator in Cosmic String Space-Time
Advances in High Energy Physics, 2018 In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential ...
Lin-Fang Deng +3 more
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Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions [PDF]
, 1991 We evaluate an integral involving an Hermite polynomial, a generalized hypergeometric series and Fox's H-function, and employ it to evaluate a double integral involving Hermite polynomials, generalized hypergeometric series and the H-function. We further
Mishra, Sadhana
core
Triggered Calcium Lightning Programs Cochlear Development
Exploration, EarlyView.Summary: Before the onset of hearing, the developing inner ear generates spontaneous calcium signals that are thought to guide maturation. In this study, we discovered a rapid and widespread calcium flash—dubbed “Ca2+ lightning”—originating from supporting cells beneath the sensory hair cells, which triggers coordinated calcium waves across the entire ...
Qiang Ma +13 more
wiley +1 more source
Inequalities for some basic hypergeometric functions
Проблемы анализа, 2019 We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters.
Kalmykov S. I., Karp D. B.
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Some properties of generalized hypergeometric Appell polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $x^{(n)}$ denotes the Pochhammer symbol (rising factorial) defined by the formulas $x^{(0)}=1$ and $x^{(n)}=x(x+1)(x+2)\cdots (x+n-1)$ for $n\geq 1$.
L. Bedratyuk, N. Luno
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Generalized hypergeometric functions at unit argument [PDF]
Proceedings of the American Mathematical Society, 1992 The analytic continuation near z = 1 z = 1
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iMetaMed, EarlyView.AHormoneDB is a no‐code platform that combines DOID‐standardized hormone–disease associations, regulatory prediction, and retrieval‐augmented generation‐based querying. In acromegaly, it nominated PTPN1 as a previously underappreciated candidate, demonstrating its capacity to accelerate mechanistic discovery.
Xingxing Huang +6 more
wiley +1 more source