My one and a half penny (for ES6):

Array.prototype.concat_n_dedupe = function(other_array) {
  return this
    .concat(other_array) // add second
    .reduce(function(uniques, item) { // dedupe all
      if (uniques.indexOf(item) == -1) {
        uniques.push(item);
      }
      return uniques;
    }, []);
};

var array1 = ["Vijendra","Singh"];
var array2 = ["Singh", "Shakya"];

var result = array1.concat_n_dedupe(array2);

console.log(result);

My one and a half penny:

Array.prototype.concat_n_dedupe = function(other_array) {
  return this
    .concat(other_array) // add second
    .reduce(function(uniques, item) { // dedupe all
      if (uniques.indexOf(item) == -1) {
        uniques.push(item);
      }
      return uniques;
    }, []);
};

var array1 = ["Vijendra","Singh"];
var array2 = ["Singh", "Shakya"];

var result = array1.concat_n_dedupe(array2);

console.log(result);

My one and a half penny (for ES6):

Array.prototype.concat_n_dedupe = function(other_array) {
  return this
    .map(function(item) { // clone this
      return item;
    })
    .concat(other_array) // add second
    .reduce(function(uniques, item) { // dedupe all
      if (uniques.indexOf(item) == -1) {
        uniques.push(item);
      }
      return uniques;
    }, []);
};

var array1 = ["Vijendra","Singh"];
var array2 = ["Singh", "Shakya"];

var result = array1.concat_n_dedupe(array2);

console.log(result);

My one and a half penny (for ES6):

Array.prototype.concat_n_dedupe = function(other_array) {
  return this
    .concat(other_array) // add second
    .reduce(function(uniques, item) { // dedupe all
      if (uniques.indexOf(item) == -1) {
        uniques.push(item);
      }
      return uniques;
    }, []);
};

var array1 = ["Vijendra","Singh"];
var array2 = ["Singh", "Shakya"];

var result = array1.concat_n_dedupe(array2);

console.log(result);