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Determination of Beta-Cell Function: Ion Channel Function in Beta Cells
2012For the regulation of beta-cell function ion channels are of outstanding importance. Beta cells are specialized to convert changes in blood glucose concentration to an adequate secretory response. To achieve this, nutrient-induced alterations of electrical activity are directly coupled to changes in insulin release.
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Some results on the beta function and the incomplete beta function
Asian-European Journal of Mathematics, 2015The incomplete Beta function [Formula: see text] is defined for [Formula: see text] and [Formula: see text]. This definition was extended to negative integer values of [Formula: see text] and [Formula: see text] by Özçaḡ et al. using neutrix limits. Partial derivatives of the incomplete Beta function [Formula: see text] for negative integer values of [
Lin, Mongkolsery +2 more
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Systemic beta-Adrenoceptor Function and Ophthalmic beta-Adrenergic Blockers
Anesthesia & Analgesia, 1996Approximately 80% of ophthalmic β-adrenergic blockers are systemically absorbed through conjunctival capillaries and the nasal mucosa. This absorption avoids hepatic first-pass metabolism, making the systemic bioavailability of ophthalmic drugs comparable to that of intravenously administered drugs (1).
F K, Lippert +2 more
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Gamma Functions, Beta Functions, and Related
2021Topics of this chapter are gamma functions, beta functions, and related functions in the complex domain. The evaluations are based on various numerical techniques in dependence of the function argument. Related functions are the Pochhammer symbol, the psi or digamma function, the incomplete gamma function and its first and second derivative, the ...
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On \(\delta -\beta \)-continuous functions
2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hatir, E., Noiri, T.
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Some beta-function inequalities
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003We present several new inequalities for Euler's beta function, B(x, y). One of our results states that the beta function can be approximated on (0, 1] × (0, 1] by rational functions as follows, with the best possible constants α = 1 and β = ⅔π2 − 4 = 2.579 73 ….
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1982
Let a1, a2 be elements of ℚ, a2 ∉ z. Let $${L_0} = \Omega \left[ {x,\frac{1}{x},\frac{1}{{1 - x}}} \right] \subset \Omega \left( x \right).$$
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Let a1, a2 be elements of ℚ, a2 ∉ z. Let $${L_0} = \Omega \left[ {x,\frac{1}{x},\frac{1}{{1 - x}}} \right] \subset \Omega \left( x \right).$$
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2018
Let \(z, w\in \mathbb {C}\), Re(z) > 0, Re(w) > 0. Define the beta function B(z, w) as follows: $$\displaystyle B(z, w)=\int _0^1 t^{z-1} (1-t)^{w-1} dt. $$
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Let \(z, w\in \mathbb {C}\), Re(z) > 0, Re(w) > 0. Define the beta function B(z, w) as follows: $$\displaystyle B(z, w)=\int _0^1 t^{z-1} (1-t)^{w-1} dt. $$
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1973
In recent years, it has become possible to study experimentally the properties of many nuclei with a neutron number differing greatly from that of stable nuclei [see, e.g., (FHR 67), (Ley 70)]. The present survey deals with the information about nuclear structure that may be gained from the investigation of the beta-decay properties of nuclei far away ...
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In recent years, it has become possible to study experimentally the properties of many nuclei with a neutron number differing greatly from that of stable nuclei [see, e.g., (FHR 67), (Ley 70)]. The present survey deals with the information about nuclear structure that may be gained from the investigation of the beta-decay properties of nuclei far away ...
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1982
We use the notation of Chapter 22. In all cases the dimension of W f0 is 1 but 1/(1 − x) is not a representative of the basis unless condition (22.1.1) is satisfied. This means that the formulae for the dual space will degenerate if (22.1.1) is not satisfied.
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We use the notation of Chapter 22. In all cases the dimension of W f0 is 1 but 1/(1 − x) is not a representative of the basis unless condition (22.1.1) is satisfied. This means that the formulae for the dual space will degenerate if (22.1.1) is not satisfied.
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