Lucifer, Satan and the Devil are three different names for the same angel. Lucifer refers to this angel when he lived in heaven. Satan and the Devil are names for this angel after he became evil and came to our earth. The Bible uses many names for Satan.
Lucifer was created by God as a perfect angel. He was called Lucifer while he lived in heaven. After he sinned and persistently refused to repent he was thrown out of heaven. When Lucifer was cast out of heaven he lost his name Lucifer and he became known as Satan
Satan is the name that is used for Lucifer after he was thrown out of heaven. He is also called the devil. Satan is now a sinful, fallen angel. He has lived on this earth for about 6,000 years. But Satan has lived in the spirit world and most of the time he has not been visible to people on earth. Very soon the devil will leave the spirit world and will appear on earth in a visible form. Then he will be called the beast.
Lucifer/Satan is not a being to be worshipped, nor is he anyone to be considered lightly or flippantly. He is a very powerful being and is the enemy of our souls. Luciferian Doctrine is also a worship of yourself as the center of all things.
As Pontes said. Lucifer was God's most favorite angel in heaven. He was in charge of the Worship in Heaven. But Pride entered into Lucifer and He wanted to be God. So God kicked Him out of heaven to earth. Afterwards he name became satan or the devil.
12 How art thou fallen from heaven, O Lucifer, son of the morning! how art thou cut down to the ground, which didst weaken the nations! 13 For thou hast said in thine heart, I will ascend into heaven, I will exalt my throne above the stars of God: I will sit also upon the mount of the congregation, in the sides of the north: 14 I will ascend above the heights of the clouds; I will be like the most High. 15 Yet thou shalt be brought down to hell, to the sides of the pit.