Results 21 to 30 of about 1,326 (98)
The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain [PDF]
Journal of Mathematics and Physics, 2021 In the classical β-ensembles of random matrix theory, setting β = 2α/N and taking the N → ∞ limit gives a statistical state depending on α. Using the loop equations for the classical β-ensembles, we study the corresponding eigenvalue density, its moments,
P. Forrester, Guido Mazzuca
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On a New Class of Laplace-Type Integrals Involving Generalized Hypergeometric Functions
Axioms, 2019 In the theory of generalized hypergeometric functions, classical summation theorems for the series 2 F 1 , 3 F 2 , 4 F 3 , 5 F 4 and 7 F 6 play a key role. Very recently, Masjed-Jamei and Koepf established generalizations of the above-mentioned summation
W. Koepf, Insuk Kim, A. Rathie
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Facta Universitatis Series Mathematics and Informatics, 2019 Very recently Masjed-Jamei and Koepf [Axioms 2018, 7 (2), 38] established interesting and useful generalizations of various classical summation theorems for the${}_{2}F_{1}$, ${}_{3}F_{2}$, ${}_{4}F_{3}$, ${}_{5}F_{4}$ and ${}_{6}F_{5}$ generalized ...
Insuk Kim, G. Milovanović, A. Rathie
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Symmetry, 2011 Results from the theory of the generalized hypergeometric functions of matrix argument, and the related zonal polynomials, are used to develop a new approach to study the asymptotic distributions of linear functions of uniformly distributed random ...
D. Richards
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Euler-Mellin integrals and A-hypergeometric functions [PDF]
, 2011 We consider integrals that generalize both Mellin transforms of rational functions of the form 1/f and classical Euler integrals. The domains of integration of our so-called Euler Mellin integrals are naturally related to the coamoeba of f, and the ...
C. Berkesch, J. Forsgaard, M. Passare
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Communications on Applied Nonlinear AnalysisIn this research note, we have obtained some new classical summation relations of certain Appell’s double hypergeometric functions associated with theory of approximation. This novel relation include, as special case, a set of well-known results.
Et al. Madhav Prasad Poudel
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General integral formulas involving Hubert hypergeometric functions of two variables
, 2017 In this paper, we have established two general integral formulas involving Humbert hypergeometric functions of two variables Φ2 and Ψ2 . The results are obtained with the help of a generalization of classical Kummer’s summation theorem on the sum of the ...
Ali. A. M. Ahmed, Saleh Bellehaj Hussein
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Advanced Science, EarlyView.Conceptual diagram and schematic illustration of microenvironmental changes in individuals with ASBO before and after treatment. BMSC@Gel therapy transforms the ASBO microenvironment from an inflammatory, fibrotic state with aberrant matrix deposition and barrier dysfunction to a regenerative state with reduced inflammation and improved structural ...
Lihong Zheng * +7 more
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Advanced Science, EarlyView.In this study, a single‐cell atlas of 117,019 yak gastrointestinal cells across 54 subtypes identified HNF4A and SREBF2 as key transcription factors targeting MYO6 gene. Cross‐species and multi‐omics analyses reveals epithelial cells as key regulators that, through interactions with microbes, particularly Bacillus, facilitate flexible energy supply and
Chun Huang +12 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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