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A Note on the Theory of Gamma and Beta Functions
Physics and engineering problems require a detailed knowledge of applied mathematics and an understanding of special functions such as gamma and beta functions. The topic of special functions is very important and it is constantly expanding with the existence of new problems in the applied sciences.
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Polyharmonic systems involving critical nonlinearities with sign-changing weight functions
This article concerns the existence of multiple solutions of the polyharmonic system involving critical nonlinearities with sign-changing weight functions $$\displaylines{ (-\Delta)^mu = \lambda f(x) |u|^{r-2}u+ \frac{\beta}{\beta+\gamma} h(x ...
Anu Rani, Sarika Goyal
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
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
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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
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q-Gamma and q-Beta Functions [PDF]
Being related to solutions of special types of differential equations, many important functions in analysis are defined in terms of definite integrals.
Pokman Cheung, Victor G. Kac
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Neuronal activity in sensory and fronto-parietal (FP) areas underlies the representation and attentional control, respectively, of sensory information maintained in visual working memory (VWM).
Felix Siebenhühner +3 more
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Inequalities for Beta and Gamma functions via some classical and new integral inequalities
In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
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A New type of Connected Sets via Bioperations
The purpose of this paper is to introduce the notion of $\alpha_{(\gamma, \gamma^{'})}$-separated sets and study their properties in topological spaces, then we introduce the notions of $\alpha_{(\gamma, \gamma^{'})}$-connected and $\alpha_{(\gamma ...
Hariwan Z. Ibrahim
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Dunkl transform of $(\beta, \gamma)$-Dunkl Lipschitz functions [PDF]
In this paper, we obtain an analog of Younis’s Theorem 5.2 in~[7] for the Dunkl transform on the real line for functions satisfying the $(\beta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{p}(\mathbf{R}, |x|^{2\alpha+1}dx)$, where $\alpha\geq -\frac{1}{2}$.
Daher, Radouan +2 more
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Identification of a functional role for human erythrocyte sialoglycoproteins beta and gamma [PDF]
Abstract Four distinct erythrocyte membrane sialoglycoproteins (SGPs) denoted alpha, beta, gamma, and delta have been described, but their functions have not yet been defined. Recent evidence suggests that several of these SGPs associate with membrane skeletal proteins.
Narla Mohandas +2 more
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