Six, sine and cosine integral integral

[Sine integral definitions and series expression]

        
         
        

They are the entire function.

[Cosine integral definitions and series expression]

        
       

It is removed axle in the in-plane single value analysis, the formula for the Euler constant.

Definition

        

[Relationship between the function] When the time is a real number, with

            
                
               
                              
         
             
        

[Asymptotic expression]

         
         

Where   

        

Particularly

                     
                     

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