Displaying similar documents to “A formula similar to Barnes' lemma”

Sur L'itere de sin(x)

Farid Bencherif, Guy Robin (1994)

Publications de l'Institut Mathématique

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Quand est-ce que des bornes de Hardy permettent de calculer une constante de Poincaré exacte sur la droite ?

Laurent Miclo (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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Classically, Hardy’s inequality enables to estimate the spectral gap of a one-dimensional diffusion up to a factor belonging to [ 1 , 4 ] . The goal of this paper is to better understand the latter factor, at least in a symmetric setting. In particular, we will give an asymptotical criterion implying that its value is exactly 4. The underlying argument is based on a semi-explicit functional for the spectral gap, which is monotone in some rearrangement of the data. To find it will resort to some...

Several Differentiation Formulas of Special Functions. Part III

Bo Li, Yan Zhang, Xiquan Liang (2006)

Formalized Mathematics

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In this article, we give several differentiation formulas of special and composite functions including trigonometric function, inverse trigonometric function, polynomial function and logarithmic function.