Manuals/calci/BASETHETA

BASETHETA (Theta)

• $Theta$ is the angle value.

Description

• This function shows the Base theta value.
• The basic theta function is defined to be the function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta : \mathbb{C} → \mathbb{C} } given by
• The function $\theta$ depends on $\tau$τ .
• So for each $\tau \in \mathbb {C}$τ ∈ C with Im τ > 0 we get a (not necessarily different) basic theta function.
• Hence there is a whole family of basic theta functions {θ(τ )}τ∈C,Im τ>0.
• But here we assume τ to be fixed, so we have only one basic theta function.
• The basic theta function is quasi-periodic.
• Base Theta is locally uniformly unordered convergent also basic theta function is an entire function.