雅可比公式的类比及其应用

IF 0.6 4区数学 Q3 MATHEMATICS Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI:10.14492/hokmj/2021-572

Jun CHIBA, Keiji MATSUMOTO

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An analogy of Jacobi's formula and its applications

We give an analogy of Jacobi's formula, which relates the hypergeometric function with parameters $(1/4,1/4,1)$ and theta constants. By using this analogy and twice formulas of theta constants, we obtain a transformation formula for this hypergeometric function. As its application, we express the limit of a pair of sequences defined by a mean iteration by this hypergeometric function.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.