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Binomial generating functions for skew harmonic polynomials
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DOI：10.1186/s13662-025-03979-9.png)
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Abstract
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Infinite series containing both central binomial coefficients and skew harmonic polynomials are expressed as parametric integrals. These bivariate parametric integrals are then evaluated manually or by Mathematica in analytically closed formulae. When the two variables x and y are specified by particular values, we deduce numerous interesting identities for binomial series tied with skew harmonic numbers that may serve as a reference source for further investigations.
Keywords:
Binomial series
Harmonic number
Bisection series
Parametric integral
Polylogarithm
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A
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1.8
Papers:
167
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