caa a22 4500 477076750 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF00047925 doi (NATIONALLICENCE)springer-10.1007/BF00047925 Characteristic expansions and multiplicative addition theorems [Elektronische Daten] [Victor Buchstaber, Alexander Kholodov] The notions of φ-polynomial expansion % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqefeKCPfgBaG% qbciaa-DgacaGGOaWexLMBb50ujbqeguuDJXwAKbacgiGae4hEaGNa% ey4kaSsefCuzVj3zPfgaiCGacaqF5bGaaiykaiabg2da9iaa-Dgaca% GGOaGae4hEaGNaaiykaiabgUcaRiaa-DgacaGGOaGaa0xEaiaacMca% cqGHRaWkdaaeqbqaaiaadchadaWgaaWcbaGaamOBaaqabaGccaGGOa% Gaeqy1dOMaaiikaiab+Hha4jaacMcacaGGPaWaaSaaaeaacaqF5bWa% aWbaaSqabeaacaqFUbaaaaGcbaGaamOBaiaacgcaaaGaey4kaSIaam% OCaiaacIcacqGF4baEcqGFSaalcaqF5bGaaiykaiaacYcaaSqaaiaa% d6gatuuDJXwAK1uy0HMmaeXbfv3ySLgzG0uy0HgiuD3BaGacciab8v% MifkaaigdaaeqaniabggHiLdaaaa!7116!\[g(x + y) = g(x) + g(y) + \sum\limits_{n \geqslant 1} {p_n (\varphi (x))\frac{{y^n }}{{n!}} + r(x,y),} \] and multiplicative addition theorems % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyOeI0YaaS% aaaeaacaaIXaaabaGaamyAaaaadaWcaaqaaiabgkGi2cqaaiabgkGi% 2kaadshaaaqeduuDJXwAKbYu51MyVXgaiuaacqWFvpGAcaWG0bGaey% ypa0JaamisamaaBaaaleaacaGGOaaabeaakmaaBaaaleaacaGGPaaa% beaakiab-v9aQjaadshaaaa!4A8D!\[ - \frac{1}{i}\frac{\partial }{{\partial t}}\varphi t = H_( _) \varphi t\] are introduced and characterization of some φ-polynomial expansions and multiplicative addition theorems are obtained. Kluwer Academic Publishers, 1996 φ-polynomial expansion nationallicence addition theorems nationallicence multiplicative addition theorems nationallicence Weier-strass and Jacobi elliptic functions nationallicence Baker-Akhiezer functions nationallicence Landen transform nationallicence Buchstaber Victor Scientific Industrial Association, All-Union Scientific Research Institute of Physico-Technical and Radio Engineering Measurements, 141570, Moscow Region, Russia aut Kholodov Alexander Institute of Problems in Cybernetics, Russian Academy of Sciences, Vavilova st. 37, 117312, Moscow, Russia aut Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 43/2(1996-05-01), 233-266 0167-8019 43:2<233 1996 43 10440 https://doi.org/10.1007/BF00047925 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00047925 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Buchstaber Victor Scientific Industrial Association, All-Union Scientific Research Institute of Physico-Technical and Radio Engineering Measurements, 141570, Moscow Region, Russia aut NATIONALLICENCE 700 1- Kholodov Alexander Institute of Problems in Cybernetics, Russian Academy of Sciences, Vavilova st. 37, 117312, Moscow, Russia aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 43/2(1996-05-01), 233-266 0167-8019 43:2<233 1996 43 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer