Characteristic expansions and multiplicative addition theorems

Victor Buchstaber, Alexander Kholodov

Research output: Contribution to journalArticlepeer-review

Abstract

The notions of small φ sign-polynomial expansion g(x + y) = g(x) + g(y) + Σn≥1 pn(small φ sign(x))yn/n! + r(x,y), and multiplicative addition theorems G(x + y) = G(x)G(y) Πk=1N Ψk(small φ signk(x)small φ signk(y)), are introduced and characterization of some small φ sign-polynomial expansions and multiplicative addition theorems are obtained.

Original languageEnglish
Pages (from-to)233-266
Number of pages34
JournalActa Applicandae Mathematicae
Volume43
Issue number2
DOIs
Publication statusPublished - 1996
Externally publishedYes

Keywords

  • Addition theorems
  • Baker-Akhiezer functions
  • Landen transform
  • Multiplicative addition theorems
  • Small φ sign-polynomial expansion
  • Weierstrass and Jacobi elliptic functions

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