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《Acta Scientiarum Naturalium Universitatis Neimongol》 1988-02
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Ming Antu, the First Inventor of Catalan Numbers in the World

Luo Jianjia (Institute for the History of Science Nei Monggol Normal University)  
Catalan numbers is a famous counting function in combinatorics today, and many scholars have made a study on this series in history. Western mathematicians do not know that the first inventor of Catalan numbers in the world is neither L. Euler (1758), nor E.Catalan (1838), but ChineseMongolian mathematician Ming Antu(1692—1763? in the Qing Dynasty), who put forward these numbers in order to solve a problem of infinite series the 30's or 40's of 18th century. Ming Antu's result in modern form is expressed in this paper, which also points out that there is a marked difference between two methods and modern methods.
【Key Words】: History of mathematics in China Mathematician Ming Antu Infinite series Combinatorics Counting Function L.Euler E.Catalan Catala nnumbers.
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【References】
Chinese Journal Full-text Database 4 Hits
1 LI Chao, ZHAO Jian(Instiute of Mathematics,Shangluo Teachers College, Shangluo Shaanxi 726000);Some identities of classical Catalan Numbers[J];Journal of Shangluo Teachers College;2004-04
2 LIU Jian-jun(Dept. of Math. , Northwest University, Xi'an 710069, China);Ming Antu and Catalan Numbers[J];Journal of Mathematical Research and Exposition;2002-04
3 MA Xin-rong(Dept. of Math. , Suzhou University, Jiangsu 215006, China);Notes on a Result Made by Ming Antu[J];Journal of Mathematical Research and Exposition;2002-04
4 LIU Qinying(Research Center for the History of Mathematics and Science,Northwest University,Xi′an 710069,China);Combinatorical background of classical Catalan numbers[J];;2003-01
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 WANG Chun-xiang,MAO Jing-zhong,ZHU Shan-cong(School of Mathematics and Statistics,Central China Normal University,Wuhan 430079);Some results of Catalan number[J];Journal of Central China Normal University(Natural Sciences);2005-03
2 LIU Jian-jun(Dept. of Math. , Northwest University, Xi'an 710069, China);Ming Antu and Catalan Numbers[J];Journal of Mathematical Research and Exposition;2002-04
3 LIU Qinying(Research Center for the History of Mathematics and Science,Northwest University,Xi′an 710069,China);Combinatorical background of classical Catalan numbers[J];;2003-01
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 LI Chao, ZHAO Jian(Instiute of Mathematics,Shangluo Teachers College, Shangluo Shaanxi 726000);Some identities of classical Catalan Numbers[J];Journal of Shangluo Teachers College;2004-04
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