There is a function in my controller class (getConstructor()) that i want to use after my page has been loaded. For this i am using a jquery function 

$(document).ready()

No, i want to call this document.ready function inside a actionFunction, so that the jquery function gets executed but i don't know how to do that

public class PaginationForComponent {
    public String objName{get;set;}
	public String fieldNames{get;set;}
public void getConstructor(){
        System.debug('Field values are '+ fieldNames);
		con = Database.query('SELECT '+ fieldNames +' FROM '+ objName);
        System.debug('Field values are '+ fieldNames);
        System.debug(con);
        myOrder = 'desc';
        sortField='name';
        PageNumber = 1;
        RecordsPerPageslist=10;
        alphabet = new list<string>{'A','B','C','D','E','F','G','H','I','J','K','L','M','N','O','P','Q','R','S','T','U','V','W','X','Y','Z','Others','All'};
        allContactList = new list<wrapper>();
        for(contact c: (list<contact>)stdSetController.getRecords())
                allContactList.add(new wrapper(c));
	}
public ApexPages.StandardSetController stdSetController{            //Instantiating a standard set controller
	        get{
	            if(stdSetController==null){
	                 stdSetController = new ApexPages.StandardSetController(con);
	            }
	              stdSetController.setPageSize(RecordsPerPageslist);        //Limiting Number of records to be displayed per page 
	                System.debug('stdSetController called ');
	            return stdSetController;   
	        }
	        set;
	    }public Integer TotalPages{                                            // Total number of pages as per user selection of Records per page
	        get{
	             System.debug('TotalPages called'); 
	            if(stdSetController.getResultSize() <=10)
	                   this.TotalPages=1;
	              if(Math.Mod(stdSetController.getResultSize() ,stdSetController.getPageSize()) == 0)
	                  this.TotalPages =(stdSetController.getResultSize()/stdSetController.getPageSize());
	              else
	                this.TotalPages = (stdSetController.getResultSize()/stdSetController.getPageSize())+1;
	              //System.Debug(this.TotalPages);
	                return totalpages;
	        }
	        set;
	    }
	public Integer RecordsPerPageslist{ 
        get;
        set{                                                          //To select number of records per page
            if(value!=null){
                this.RecordsPerPagesList=value;
                System.debug('RecordsPerPageList called');
            }
        }       
    }    
}

for the component:

<apex:component controller="PaginationForComponent" >
    
    <apex:attribute name="objectName" description="The object's name" type="String" required="true" assignTo="{!objName}"/>
    <apex:attribute name="fieldName" description="Fields to be displayed" type="String" required="true" assignTo="{!fieldNames}"/>
    {!objName}
    <script src="https://ajax.googleapis.com/ajax/libs/jquery/3.3.1/jquery.min.js"> </script>
    <script>
    	function SuccessFailure(msg) {
        	if(msg == '') {
            	window.top.location.reload()
            } else {
            	alert(msg);
            }
        }
    $(document).ready(function(){
        construct();
        });
    </script>
    <apex:form > 
        <apex:actionFunction name="construct" action="{!getConstructor}"/>
.........