According to the documents, Kerkorian is now attempting to be made the administrator of her father's estate, which is valued at $464,000.
Bing died by suicide in June, at the age of 55.
At the time TMZ quoted sources close to Bing as saying he had been depressed about being isolating in quarantine during the coronavirus pandemic.
Bing became a Hollywood power player after inheriting $US600 million from his grandfather on his 18th birthday, dropping out of college and using the money to found his own company, Shangri-La Entertainment.
His credits as an executive producer include Get Carter (2000), Looking for Comedy in the Muslim World (2005), Youth in Revolt (2009) and Rock the Kasbah (2015).
After initially denying paternity of Hurley's son Damian, claiming that he and Hurley's relationship was brief and non-exclusive - a DNA test later showed he was the father. It's understood Bing and his son did not have a relationship.
Last year it was reported that Damian, 18, could stand to inherit nothing of his father's vast fortune amid a nasty legal battle with his biological grandfather.
The bulk of Bing's fortune came from his grandfather, New York real estate baron Leo S. Bing.
Hurley's grandfather, Dr Peter Bing, last year argued that Damian and his dad had never met, and that the teen isn't eligible to become a Bing heir as he was "born out of wedlock".