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Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients.… Click to show full abstract
Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients. Among them, three conjectured identities due to Z.-W. Sun are also confirmed.
Keywords:
containing harmonic;
series;
convergence rate;
harmonic numbers;
series convergence;
rate containing
Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!