What is the C# equivalent to PHP's "self::"?

In C# when I want to call a static method of a class from another static method of that class, is there a generic prefix that I can use such as PHP's self:: instead of the class name?

So in the below example, instead of saying Customer.DatabaseConnectionExists(), how can I say something like Self.DatabaseConnectionExists() so e.g. later if I change the name of the class I don't have to go change all the prefixes?

class Customer
{
    public string FirstName { get; set; }
    public string LastName { get; set; }

    public static Customer GetCurrentCustomer()
    {
        if (Customer.DatabaseConnectionExists())
        {
            return new Customer { FirstName = "Jim", LastName = "Smith" };
        }
        else
        {
            throw new Exception("Database connection does not exist.");
        }
    }

    public static bool DatabaseConnectionExists()
    {
        return true;
    }
}