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Riordan Array Approach to the Coefficients of Ramanujan’s Harmonic Number Expansion

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In this paper, by the Riordan array method, we show that in Ramanujan’s asymptotic expansion of the harmonic numbers, the coefficients given by Villarino satisfy the recurrence given by Chen… Click to show full abstract

In this paper, by the Riordan array method, we show that in Ramanujan’s asymptotic expansion of the harmonic numbers, the coefficients given by Villarino satisfy the recurrence given by Chen and Cheng. This gives an affirmative answer to Chen and Cheng’s open problem.

Keywords: array; array approach; expansion; approach coefficients; riordan array; coefficients ramanujan

Journal Title: Results in Mathematics
Year Published: 2017

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