1,902 research outputs found
Reflection formulas for order derivatives of Bessel functions
From new integral representations of the -th derivative of Bessel
functions with respect to the order, we derive some reflection formulas for the
first and second order derivative of and % Y_{\nu
}\left( t\right) for integral order, and for the -th order derivative of
and for arbitrary real
order. As an application of the reflection formulas obtained for the first
order derivative, we extend some formulas given in the literature to negative
integral order. Also, as a by-product, we calculate an integral which does not
seem to be reported in the literature.Comment: arXiv admin note: text overlap with arXiv:1808.0560
Geometries of orthogonal groups and their contractions: a unified classical deformation viewpoint
The geometries of spaces having as groups the real orthogonal groups and some
of their contractions are described from a common point of view. Their central
extensions and Casimirs are explicitly given. An approach to the trigonometry
of their spaces is also advanced.Comment: 9 pages, LaTeX; contribution presented by M.Santander to the II
International Workshop on Classical and Quantum Integrible Systems (Dubna,
8-12 July,1996), to be published in Int.J.Mod.Phys.
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