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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 895-906.

• 论文 • 上一篇    下一篇

HIGHER-ORDER MULTIVARIABLE EULER'S POLYNOMIAL AND HIGHER-ORDER MULTIVARIABLE BERNOULLI'S POLYNOMIAL

刘国栋   

  1. Departmet of Mathematics, Huizhou University, Huizhou 516015, P. R. China
  • 收稿日期:1996-11-11 修回日期:1997-04-10 出版日期:1998-09-18 发布日期:1998-09-18

HIGHER-ORDER MULTIVARIABLE EULER'S POLYNOMIAL AND HIGHER-ORDER MULTIVARIABLE BERNOULLI'S POLYNOMIAL

Liu Guodong   

  1. Departmet of Mathematics, Huizhou University, Huizhou 516015, P. R. China
  • Received:1996-11-11 Revised:1997-04-10 Online:1998-09-18 Published:1998-09-18

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摘要： In this paper, the definitons of both higher-order multivariable Euler's numbersand polynomial. higher-order multivariable Bernoulli's numbers and polynomial aregiven and some of their important properties are expounded. As a result, themathematical relationship between higher-order multivariable Euler's polynomial(numbers) and higher-order higher -order Bernoulli's polynomial (numbers) are thusobtained.

关键词: higher-order multivariable Euler's numbers, higher-ordermultivariable Euler's polynomial, higher-order multivariableBernoulli's numbers, higher-order multivariable Bernoulli'spolynomial

Abstract: In this paper, the definitons of both higher-order multivariable Euler's numbersand polynomial. higher-order multivariable Bernoulli's numbers and polynomial aregiven and some of their important properties are expounded. As a result, themathematical relationship between higher-order multivariable Euler's polynomial(numbers) and higher-order higher -order Bernoulli's polynomial (numbers) are thusobtained.

Key words: higher-order multivariable Euler's numbers, higher-ordermultivariable Euler's polynomial, higher-order multivariableBernoulli's numbers, higher-order multivariable Bernoulli'spolynomial

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