HIGHER-ORDER MULTIVARIABLE EULER'S POLYNOMIALAND HIGHER-ORDER MULTIVARIABLEBERNOULLI'S POLYNOMIAL  

作　　者：刘国栋 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1998年第9期895-906,共12页应用数学和力学（英文版）

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.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 

分 类 号：O174[理学—数学]