@DominicX, I found one study manual that gives a good reason; but adds five additional names missing in the geneology of Jesus Christ in Matthew. They are Ahaziah, Joash, Amaziah, Jehaohaz, Johiachin and Zedekiah.
I’ll quote the reasoning for the first three omissions and you can read the last three yourself if you’re interested. Thank you for you contribution. It made me think and look and search out an answer in the Bible. That’s something I haven’t done in a long, long time. It felt good to pull down a few cobwebs in my brain. (I’ll ask my brother when I talk to him on the phone next week the questions asked here. He is a Bible scholar who doesn’t allow cobwebs.) Happy Thanksgiving.
Let us look into the first three names.
2 Ki 8:25 In the twelfth year of Joram son of Ahab king of Israel, Ahaziah son of Jehoram king of Judah began to reign.
2 Ki 8:26 Ahaziah was twenty-two years old when he became king, and he reigned in Jerusalem one year. His mother’s name was Athaliah, a granddaughter of Omri king of Israel.
Athalia was a grand daughter of King Ahab and Queen Jezebel who needs no special introduction to the Bible readers. These two names will cause a shudder through the spine of every Jew, because of their evil acts. According to Deut 5:9 and Ex. 34:7 and Num 14:18 God will punish the sins of the fathers up to the fourth generation.
Deu 5:9 You shall not bow down to them or worship them; for I, the LORD your God, am a jealous God, punishing the children for the sin of the fathers to the third and fourth generation of those who hate me,
Thus the sins of Ahab and Jezebel was visited up to the fourth generation.
Ahab – Ahaziah – Joash – Amaziah – Uzziah
Deu 5:1 Moses summoned all Israel and said: Hear, O Israel, the decrees and laws I declare in your hearing today. Learn them and be sure to follow them.
Deu 5:2 The LORD our God made a covenant with us at Horeb. Deu 5:6 “I am the LORD your God, who brought you out of Egypt, out of the land of slavery.
Deu 5:7 “You shall have no other gods before me.
Deu 5:8 “You shall not make for yourself an idol in the form of anything in heaven above or on the earth beneath or in the waters below.
Deu 5:9 You shall not bow down to them or worship them; for I, the LORD your God, am a jealous God, punishing the children for the sin of the fathers to the third and fourth generation of those who hate me,
Deu 5:10 but showing love to a thousand generations of those who love me and keep my commandments.
Deu 5:11 “You shall not misuse the name of the LORD your God, for the LORD will not hold anyone guiltless who misuses his name.
In Ex 34 we read
Exo 34:6 And he passed in front of Moses, proclaiming, “The LORD, the LORD, the compassionate and gracious God, slow to anger, abounding in love and faithfulness,
Exo 34:7 maintaining love to thousands, and forgiving wickedness, rebellion and sin. Yet he does not leave the guilty unpunished; he punishes the children and their children for the sin of the fathers to the third and fourth generation.”
Again in Numbers 14 we read this proclamation of the passing Lord before Moses:
Num 14:18 ‘The LORD is slow to anger, abounding in love and forgiving sin and rebellion. Yet he does not leave the guilty unpunished; he punishes the children for the sin of the fathers to the third and fourth generation.’
Thus because of the great iniquities of Ahab and Jezebel, the punishment was carried over through Athalia in unabated form. In the eyes of God these four generations were counted unworthy of the throne of David.
http://www.biblestudymanuals.net/genealogy_of_Jesus.htm