Multiplicative Groups of Analytic Functions
نویسندگان
چکیده
منابع مشابه
Multiplicative Groups of Analytic Functions
4. -, Les valeurs asymptotiques de quelques fonctions miromorphes dans le cercle-uniti, C. R. Acad. Sci. Paris vol. 237 (1953) pp. 16-18. 5. N. Lusin and J. Privaloff, Sur I'unicitl et la multipliciti des fonctions analytiques, Ann. ficole Norm. (13) vol. 42 (1925) pp. 143-191. 6. R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, Springer, 1936. 7. F. Riesz, Uber die Randwerte einer ana...
متن کاملA Subclass of Analytic Functions Associated with Hypergeometric Functions
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.
متن کاملMULTIPLICATIVE GROUPS IN Zm
Our goal will be to find subsets of Zm that form groups under the operation of multiplication modulo m. By utilizing the isomorphism Zm ∼= Zn ⊕ Zk, we will find multiplicative groups contained in Zn ⊕ Zk and then map these back to Zm. In particular, if m = nk with gcd(n, k) = 1, our objective is to find particular multiplicative subsets of Zn × Zk that are groups and whose first coordinate is a...
متن کاملArithmetical Functions I: Multiplicative Functions
Truth be told, this definition is a bit embarrassing. It would mean that taking any function from calculus whose domain contains [1,+∞) and restricting it to positive integer values, we get an arithmetical function. For instance, e −3x cos2 x+(17 log(x+1)) is an arithmetical function according to this definition, although it is, at best, dubious whether this function holds any significance in n...
متن کاملClass Groups of Multiplicative Invariants
Let G be a nite subgroup of GL d (Z). Then G acts on the Laurent polynomial ring kX 1 1 d ] over the eld k via the natural G-action on the multiplicative group generated by the variables X 1 ; : : : ; X d (= Z d). We show that the class group of the ring of invariants of this action is isomorphic to Hom(G=N;k) H 1 (G=D; (Z d) D), where N denotes the subgroup of G that is generated by all reeect...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1955
ISSN: 0002-9939
DOI: 10.2307/2032658