How the name server is resolved if its from the same domain?

I think there's a more basic aspect of name resolution that's being missed here: Your computer doesn't need to know any DNS names in order to perform lookups. A computer's DNS servers are always defined by IP address.

In a consumer setting, that usually means the DNS server addresses are retrieved from a DHCP server along with the IP address, netmask, and default route. Servers will typically use more managed configurations, but the point is that any system that performs DNS lookups is making a request directly to an IP address (v4 or v6, or both, as both IPv4 and IPv6 DNS servers can answer queries with addresses from either family.)

When a DNS record request is passed to the "local" DNS server (which may not be so local, if it's google's 8.8.8.8 or the like), assuming it doesn't already have the response cached, it will do all of the recursive queries and etc. you describe in order to come up with an authoritative response to the request. But your ability to perform DNS queries is "bootstrapped" through direct IP addressing (no DNS records involved), precisely to avoid creating a circular dependency on itself.

As for how the servers know what IPs to contact, well to quote IANA on "Configuring the Root Servers":

Operators who manage a DNS recursive resolver typically need to configure a “root hints file”. This file contains the names and IP addresses of the root servers, so the software can bootstrap the DNS resolution process. For many pieces of software, this list comes built into the software.

Your understanding is correct on the whole (as a minor point of clarification, it's not your computer that will recursively resolve DNS records, it's typically your ISP.)

The "missing piece" you're looking for is the glue record, which is a DNS record specifically designed to fix that circular reference.

Glue records are DNS records created at the domain’s registrar. The record provides a complete answer when the TLD nameserver returns a reference for an authoritative nameserver for a domain. For example, the domain name “example.net” has nameservers “ns1.example.net” “ns2.example.net”. To resolve the domain name, the DNS would query in order: root, TLD nameserver, and authoritative nameserver. However, by having the authoritative nameservers inside the domain itself, these nameservers cannot be found without outside assistance. This is called a ‘circular reference’. Creating a glue record, an A record served by the TLD nameserver, avoids circular references and allows for both DNS name resolution and listing the nameservers inside the domain itself.

So to look up the A record of example.com in your case, your DNS resolver will first go to the .com nameserver, it will ask for the nameservers for example.com, and it will receive not just ns1.example.com and ns2.example.com but ALSO the IP addresses of those nameservers so that your resolver knows which IP addresses to use to make further DNS queries on that domain.

That is achieved through what it's called a "glue record".

The DNS server has both the NS and the corresponding A (and/or AAAA for IPv6) records for the NS entries and serve them "glued" to the NS response.

So even if you only ask for the NS records, the DNS would respond with both the NS servers and their IP addresses.