PageHeader : Funkcialaj Ekvacioj, 33 (1990) 493-518 Title : Hypergeometric Series Formulas through Operator Calculus AuthorInfo : By AuthorInfo : Kazuo UENO AuthorInfo : (University of Saga, Japan) AuthorInfo : Dedicated to Professor Tosihusa Kimura on his 60th birthday section : 1. Introduction section : 2. Powerseries operator calculus section : 3. The operator $ (1 -\sigma)^{-a}$ section : Proposition 3.11. Putting section : 4. The operator $(1 +s(1-\sigma_{1})(1-\sigma_{2}))^{-a}$ section : 5. Meixner's formulas section : 6. Two formulas for $F_{D}$ using (1 $ -\sigma)^{-a}$ again section : 7. Differential powerseries operators section : 8. Formulas involving generalized hypergeometric series section : References