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SOME DOUBLE SERIES FOR π AND THEIR q-ANALOGUES

Xiaoxia Wang|Guoping Gu
대한수학회 (The Korean Mathematical Society)|2024.11|대한수학회보 (Bulletin of the KMS)|제61권 제6호|pp. 1607-1616|DOI 10.4134/BKMS.b230683

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참고문헌

키워드

Basic hypergeometric seriesdouble seriesq-analoguespartial derivative operator
주제분류수학

초록

Inspired by the recent work on double series for π of Wei, in this paper, by applying the partial derivative operator on several summation formulas of hypergeometric series and basic hypergeometric series, we establish some double series for π and their q-analogues.

Abstract

Inspired by the recent work on double series for π of Wei, in this paper, by applying the partial derivative operator on several summation formulas of hypergeometric series and basic hypergeometric series, we establish some double series for π and their q-analogues.

참고문헌 (19)

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  13. Z. -W. Sun, "A new series for π3 and related congruences", Internat. J. Math, 26, pp.1550055~ (2015)
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