As we all know that Tuesday is the perfect day to worship Hanuman. Hanuman who is known the ardent devotee of Lord Ram and also he called Rudra's Avatar. Well, the meaning or the origin of word "Hanuman" is still unclear. In the Hindu pantheon, deities typically have many synonymous names, each based on the noble characteristic or attribute or reminder of that deity's mythical deed.  Hanuman has many names like Maruti, Pawansuta, Bajrangbali, Mangalmurti but these names are rarely used. 

Hanuman's birth 

According to Hindu legends, Hanuman was born to Anjana and father Kesari. Hanuman is also called the son of the deity Vayu (Wind god) because of legends connected with Vayu's role in Hanuman's birth. One story mentioned in Eknath's Bhavartha Ramayana (16th century CE) states that when Anjana was worshiping Shiva, the King Dasharatha of Ayodhya was also performing the ritual of Putrakama yagna in order to have children. As a result, he received some sacred pudding (payasam) to be shared by his three wives, leading to the births of Rama, Lakshmana, Bharata, and Shatrughna. By divine ordinance, a kite snatched a fragment of that pudding and dropped it while flying over the forest where Anjana was engaged in worship. Vayu, the Hindu deity of the wind, delivered the falling pudding to the outstretched hands of Anjana, who consumed it. Hanuman was born to her as a result.

Bajarangabali name

Being the body of Lord Hanuman due to Vajra, they are known as Bajrangbali and Vayyudev played an important role in their pursuit, which is why they are also called Pawanpura.

Hanuman ji's worship method

The method of worship of them is not special. You should read the Hanuman Chalisa after going to the temple of Hanuman ji and after performing the bath etc. on Tuesday morning. You can also keep a fast of their name, if you can.