On the differential equation for the generalized Weierstrass $℘$ function
1 Department of theory of functions and functional analysis, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
Keywords:
elliptic function, quasi-elliptic function, the Weierstrass $℘$-function, generalized quasi-elliptic Weierstrass $℘$-function
Abstract
The differential equation for the generalized quasi-elliptic Weierstrass function $℘_{αβ}$ is found.
References
[1] Chen, Y., Yan, Zh. (2006). The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations: Solitons and Fractals, 29, 948-964.
[2] Hellegouarch, Y. (2002). Invitation to the Mathematics of Fermat-Wiles. Academic Press.
[3] Hurwitz, A. (1968). Function theory. Moscow. Nauka (in Russian).
[4] Khrystiyanyn, A., Lukivska, Dz. (2017). Quasielliptic functions: Ufa Math. J., 9(4), 129-136.
[5] Pastras, G. (2017). Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics: arXiv:1706.07371v2 [mathph] 6 Sep 2017.
Cite
- ACS Style
- Khrystiyanyn, .Y.; Lukivska, .V. On the differential equation for the generalized Weierstrass $℘$ function. Bukovinian Mathematical Journal. 2018, 6 https://doi.org/https://doi.org/10.31861/bmj2018.01.082
- AMA Style
- Khrystiyanyn Y, Lukivska V. On the differential equation for the generalized Weierstrass $℘$ function. Bukovinian Mathematical Journal. 2018; 6(1-2). https://doi.org/https://doi.org/10.31861/bmj2018.01.082
- Chicago/Turabian Style
- Andriy Yaroslavovych Khrystiyanyn, Dzvenislava Volodymyrivna Lukivska. 2018. "On the differential equation for the generalized Weierstrass $℘$ function". Bukovinian Mathematical Journal. 6 no. 1-2. https://doi.org/https://doi.org/10.31861/bmj2018.01.082
Export