Share-Based Compensation (Details) - USD ($)	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Share-Based Compensation
Share-based compensation expense	$ 1,336,000	$ 345,000	$ 341,000
Income tax effect recognized as a credit to additional paid-in capital related to share-based compensation	1,123,941	166,617	181,350
Employee and Non Employee Stock Option
Share-Based Compensation
Income tax effect recognized as a credit to additional paid-in capital related to share-based compensation	$ 756,000	$ 166,617	$ 181,350