Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836.
	
		
			Citation: 
													Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836. 								 
				
			 
	
 
	
		Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836.
	
		
			Citation: 
													Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836. 								 
				 
	
  
			
				
					
						
Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial 
					
					
						 
					
					
						
						  
									
										Departmet of Mathematics, Huizhou University, Huizhou, Guangdong 516015, P.R. China
 
					
                        
		    		
						
							
							
							Received Date:  1996-11-11Rev Recd Date: 
										1997-04-10 
									Publish Date: 
											1998-09-15 
	                  
                 
             
            
            	
                
                 
				
                    Abstract 
                        
                            In this paper,the definitions of both higher-order multivariable Euler's numbers and polynomial,higher-order multivariable Bernoulli's numbers and polynomial are given and some of their important properties are expounded.As a resut,the mathematical relationship between higher-order multivariable Euler's polynomial (numbers) and higher-order multivariable Bernoulli's polynomial (numbers) are thus obtained.
                    
                     
                
                 
                
               	
	                
	                     
                
                
				
	                    References 
	                    
	
		
				[1] 
				
					王竹溪、郭敦仁,《特殊函数概论》,科学出版社,北京 (1965),1-8,47-49.
					
					 
			 
		
				[2] 
				
					A.爱尔台里,《高级超越函数》(张致中译),科学技术出版社,北京 (1957),45-46.
					
					 
			 
		
				[3] 
				
					N.E.Noulund,Vorlesungen Über Difference Zenchnun g,Berlin (1923),29-37,110-156.
					
					 
			 
		
				[4] 
				
					Tom M.Aposto,Introduction to Analytic Number,Springer-Verlag,Newyork,Iteidelberg,Berlin (1976).
					
					 
			 
		
				[5] 
				
					W.H.拜尔,《标准数学手册》(荣现志、张顺忠译),化学工业出版社,北京 (1988),420-426.
					
					 
			 
		
				[6] 
				
					日本数学会编,《数学百科辞典》(石胜文译),科学出版社,北京 (1984),1034-1035.
					
					 
			 
		
  
                
                
                     
                
				
				
				
						 
				
                
            Proportional views