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<p>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 <i>Mathematica</i> in analytically closed formulae. When the two variables <i>x</i> and <i>y</i> 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.</p>

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Binomial generating functions for skew harmonic polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月29日

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  • Chunli Li,
  • Wenchang Chu

摘要

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.