• Source: Theta function (disambiguation)

Theta functions



ϑ
(
z
;
τ
)


{\displaystyle \vartheta (z;\tau )}

are special functions of several complex variables. Theta function may also refer to:




Jacobi-related functions


q-theta function,



θ
(
z
;
q
)


{\displaystyle \theta (z;q)}

, a type of q-series
Theta function of a lattice,




Θ

Λ


(
τ
)


{\displaystyle \Theta _{\Lambda }(\tau )}

, a holomorphic function on the upper half-plane
Mock theta functions,



μ
(
q
)
,
f
(
q
)
,
ϕ
(
q
)
,
ψ
(
q
)
,
χ
(
q
)


{\displaystyle \mu (q),f(q),\phi (q),\psi (q),\chi (q)}

, etc., a mock modular form of weight 1/2
Ramanujan theta function,



f
(
a
,
b
)


{\displaystyle f(a,b)}


Neville theta functions




Other functions


Riemann–Siegel theta function,



θ
(
t
)


{\displaystyle \theta (t)}


The first Chebyshev function



ϑ
(
x
)


{\displaystyle \vartheta (x)}

, the sum of the logarithm of all primes



≤
x


{\displaystyle \leq x}


Feferman's function,




θ

α


(
β
)


{\displaystyle \theta _{\alpha }(\beta )}


Heaviside step function, sometimes denoted



θ
(
x
)


{\displaystyle \theta (x)}


Lovász theta function, an upper bound on the Shannon capacity of a graph




See also


Jacobi theta functions (notational variations),




ϑ

i
j


(
z
;
τ
)
,

ϑ

j


(
z
)
,

θ

i


(
z
;
q
)


{\displaystyle \vartheta _{ij}(z;\tau ),\vartheta _{j}(z),\theta _{i}(z;q)}

Kata Kunci Pencarian:

• Theta function (disambiguation)
• Theta (disambiguation)
• Riemann function
• Umbral
• Jacobi
• Exponentiation
• Undefined (mathematics)
• Delta
• DST (disambiguation)
• ⊖