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                                                       "Don't be a slave to other's thinking"

 A Complete Solution To The Problem of Symbolic Differentiation And Integration

                                                       of Real Order

 Unified Formulas For The nth Derivative And The nth Anti-Derivative

                           of Elementary And Special Functions

                                           of Real Order

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New identity for Rayleigh's formula which computes spherical Bessel functions (see my answer) :

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http://math.stackexchange.com/questions/940410/there-is-a-closed-form-for-sum-n-1-infty-frac-it-j-0-left-al/940612#940612

  http://math.stackexchange.com/questions/327416/solve-the-sequence-u-n-1-fracu-1n-fracu-2n-1-ldots-frac/328401#328401