Generating Function Transformations Related to Polylogarithm Functions and the $k$-Order Harmonic Numbers

30 Oct 2016Maxie D. Schmidt

We define a new class of generating function transformations related to polylogarithm functions, Dirichlet series, and Euler sums. These transformations are given by an infinite sum over the $j^{th}$ derivatives of a sequence generating function and sets of generalized coefficients satisfying a non-triangular recurrence relation in two variables... (read more)

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