Some Applications of the (f, g)-Inversion

摘要

We present three kinds of applications of the (f,g)-inversion due to Ma.By taking explicit functions and sequences in the (f,g)-inversion,we derive identities involving hypergeometric series and harmonic numbers.Then we give several inversion relations involving q-hypergeometric terms.Finally,we combine the (f,g)-inversion and the q-differential operators to derive some q-series identities.