Results 31 to 40 of about 442,522 (298)
On a fourth order nonlinear Helmholtz equation [PDF]
, 2018 In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $\Delta^2 u -\beta \Delta u + \alpha u= \Gamma|u|^{p-2} u$ in $\mathbb R^N$ for positive, bounded and $\mathbb Z^N$-periodic functions $\Gamma$.
Abramowitz M. +11 more
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Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function [PDF]
, 2013 Montgomery's pair correlation conjecture predicts the asymptotic behavior of the function $N(T,\beta)$ defined to be the number of pairs $\gamma$ and $\gamma'$ of ordinates of nontrivial zeros of the Riemann zeta-function satisfying $00$, using ...
Carneiro, Emanuel +3 more
core +1 more source
Post-Newtonian parameters gamma and beta of scalar-tensor gravity with a general potential [PDF]
, 2013 We calculate the parametrized post-Newtonian parameters $\ensuremath{\gamma}$ and $\ensuremath{\beta}$ for scalar-tensor gravity with a generic coupling function $\ensuremath{\omega}$ and scalar potential $V$ in the Jordan conformal frame in the case of ...
M. Hohmann, L. Jarv, P. Kuusk, E. Randla
semanticscholar +1 more source
New extension of beta, Gauss and confluent hypergeometric functions
Cumhuriyet Science Journal, 2021 There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
doaj +1 more source
The Chazy XII Equation and Schwarz Triangle Functions [PDF]
, 2017 Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation $y'''- 2yy''+3y'^2 = K(6y'-y^2)^2$, $K \in \mathbb{C}$, is equivalent to a projective-invariant equation for an affine connection on a one ...
Bihun, Oksana, Chakravarty, Sarbarish
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Researches in Mathematics, 2023 For odd $r\in \mathbb{N}$; $\alpha, \beta >0$; $p\in [1, \infty]$; $\delta \in (0, 2 \pi)$, any $2\pi$-periodic function $x\in L^r_{\infty}(I_{2\pi})$, $I_{2\pi}:=[0, 2\pi]$, and arbitrary measurable set $B \subset I_{2\pi},$ $\mu B \leqslant \delta ...
V.A. Kofanov, A.V. Zhuravel
doaj +1 more source
Beta-gamma system, pure spinors and Hilbert series of arc spaces [PDF]
, 2015 Algorithms are presented for calculating the partition function of constrained beta-gamma systems in terms of the generating functions of the individual fields of the theory, the latter obtained as the Hilbert series of the arc space of the algebraic ...
Bhamidipati, Chandrasekhar, Ray, Koushik
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Weak order for the discretization of the stochastic heat equation [PDF]
, 2007 In this paper we study the approximation of the distribution of $X_t$ Hilbert--valued stochastic process solution of a linear parabolic stochastic partial differential equation written in an abstract form as $$ dX_t+AX_t dt = Q^{1/2} d W_t, \quad X_0=x ...
Debussche, Arnaud, Printems, Jacques
core +5 more sources
Region of variability for functions with positive real part
, 2010 For $\gamma\in\IC$ such that $|\gamma|
Ponnusamy, S., Vasudevarao, A.
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
Journal of Mathematics, 2021 In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions.
Mohamed Abdalla +2 more
doaj +1 more source