Results 31 to 40 of about 435,327 (305)
Applicable Analysis and Discrete Mathematics, 2020 In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in light of logarithmically ...
Feng Qi (祁锋) +3 more
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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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Differential inequalities for spirallike and strongly starlike functions
Advances in Difference Equations, 2021 In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i β p ( z ) } > γ $\operatorname{Re}\{ {\mathrm{e ...
Nak Eun Cho, Oh Sang Kwon, Young Jae Sim
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AIMS Mathematics, 2022 In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by $ \mathcal F_{\left(\beta,\gamma\right)} \bigg(\alpha,\delta,\mu,H\big(z,C_{n}^{\left(\lambda \right)} \left(t\right)\big)\bigg), $ satisfying ...
H. M. Srivastava +2 more
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Nonparametric estimation of composite functions [PDF]
, 2009 We study the problem of nonparametric estimation of a multivariate function $g:\mathbb {R}^d\to\mathbb{R}$ that can be represented as a composition of two unknown smooth functions $f:\mathbb{R}\to\mathbb{R}$ and $G:\mathbb{R}^d\to \mathbb{R}$. We suppose
Juditsky, Anatoli B. +2 more
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A Note on Sequence of Functions associated with the Generalized Jacobi polynomial
Researches in Mathematics, 2023 An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function ...
D. Waghela, S.B. Rao
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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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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 +3 more
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The Endless Beta Integrals [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We consider a special degeneration limit $\omega_1\to - \omega_2$ (or $b\to {\rm i}$ in the context of $2d$ Liouville quantum field theory) for the most general univariate hyperbolic beta integral.
G. Sarkissian, V. Spiridonov
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Communications in Analysis and Mechanics, 2023 In this paper, we consider a Schrödinger operator $ L = -\Delta_{\mathbb{H}}+V $ on the stratified Lie group $ \mathbb{H} $. First, we establish fractional heat kernel estimates related to $ L^{\beta} $, $ \beta\in(0, 1) $.
Zhiyong Wang +3 more
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