Special values of fractional hypergeometric functions for function fields

Some hypergeometric functions in positive characteristic and transcendence

“…The last result has been extended recently by J.-Y. Yao [15] to fractional hypergeometric functions, defined by D. S. Thakur [10, p. 226]. Besides the above three methods, the automata method introduced by J.-P. Allouche [1] is also important in the transcendence theory over function fields.…”