Generalization of the Weierstrass $℘ , ζ$ and $σ$ functions
1 Department of theory of functions and functional analysis, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
Keywords:
Weierstrass functions
Abstract
For double $p$-elliptic functions, i. e. meromorphic in $\mathbb{C}$ functions $g$ satisfying the condition $g (u +mw_1 + nw_2) = p^{m+n} g(u)$ for some $w_1,w_2$ and $p$ and for all $m,n ∈ \mathbb{Z}$, analogues of $℘ , ζ$ and $σ$ Weierstrass functions are constructed.
Cite
- ACS Style
- Lukivska, .V. Generalization of the Weierstrass $℘ , ζ$ and $σ$ functions. Bukovinian Mathematical Journal. 2016, 4
- AMA Style
- Lukivska V. Generalization of the Weierstrass $℘ , ζ$ and $σ$ functions. Bukovinian Mathematical Journal. 2016; 4(1-2).
- Chicago/Turabian Style
- Dzvenislava Volodymyrivna Lukivska. 2016. "Generalization of the Weierstrass $℘ , ζ$ and $σ$ functions". Bukovinian Mathematical Journal. 4 no. 1-2.
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