RUS  ENG
Full version
JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya

Funktsional. Anal. i Prilozhen., 2016, Volume 50, Issue 4, Pages 43–54 (Mi faa3253)

Functional Equations and Weierstrass Sigma-Functions
A. A. Illarionov

References

1. V. M. Bukhshtaber, D. V. Leikin, “Trilineinye funktsionalnye uravneniya”, UMN, 60:2 (2005), 151–152  mathnet  crossref  mathscinet  zmath  elib
2. V. M. Bukhshtaber, D. V. Leikin, “Zakony slozheniya na yakobianakh ploskikh algebraicheskikh krivykh”, Trudy MIAN, 251, 2005, 54–126  mathnet  zmath  elib
3. V. M. Bukhshtaber, I. M. Krichever, “Integriruemye uravneniya, teoremy slozheniya i problema Rimana–Shottki”, UMN, 61:1 (2006), 25–84  mathnet  crossref  mathscinet  zmath  elib
4. V. A. Bykovskii, “Giperkvazimnogochleny i ikh prilozheniya”, Funkts. analiz i ego pril., 50:3 (2016), 34–46  mathnet  crossref  mathscinet  zmath  elib
5. S. Janson, J. Peetre, R. Wallsten, “A new look on Hankel forms over Fock space”, Studia Math., 95:1 (1989), 33–41  crossref  mathscinet  zmath  isi
6. R. Rochberg, L. Rubel, “A Functional Equation”, Indiana Univ. Math. J., 41:2 (1992), 363–376  crossref  mathscinet  zmath  isi
7. M. Bonk, “The addition formula for theta function”, Aequationes Math, 53:1–2 (1997), 54–72  crossref  mathscinet  zmath  scopus
8. M. Bonk, “The addition theorem of Weierstrass's sigma function”, Math. Ann., 298:1 (1994), 591–610  crossref  mathscinet  zmath  scopus
9. M. Bonk, “The characterization of theta functions by functional equations”, Abh. Math. Sem. Univ. Hamburg, 65 (1995), 29–55  crossref  mathscinet  zmath  isi  scopus
10. A. Jarai, W. Sander, “On the characterization of Weierstrass's sigma function”, Functional Equations—Results and Advances, Adv. Math., v. 3, Kluwer Acad. Publ., Dordrecht, 2002, 29–79  crossref  mathscinet  zmath
11. C. M. Cosgrove, “Higher-order Painleve equations in the polynomial class I. Bureau Symbol P2”, Stud. Appl. Math., 104:1 (2000), 1–65  crossref  mathscinet  zmath  isi  scopus
12. S. Stoilov, Teoriya funktsii kompleksnogo peremennogo, v. 1, IL, M., 1962
13. G. Peano, “Sur le déterminant wronskien”, Mathesis IX, 1889, 110–112  zmath


© Steklov Math. Inst. of RAS, 2026