General characteristics

Domain and analyticity

Domain and analyticity

For Phi(z,s,a)

Symmetries and periodicities

Mirror symmetry

For Phi(z,s,a)

Periodicity

Poles and essential singularities

With respect to a

For Phi(z,s,a)

For Phi^{^}(z,s,a)

With respect to s

For Phi(z,s,a)

For Phi^{^}(z,s,a)

With respect to z

For Phi(z,s,a)

For Phi^{^}(z,s,a)

Branch points

With respect to a

For Phi(z,s,a)

For Phi^{^}(z,s,a)

With respect to s

For Phi(z,s,a)

For Phi^{^}(z,s,a)

With respect to z

For Phi(z,s,a)

For Phi^{^}(z,s,a)

Branch cuts

With respect to a

For Phi(z,s,a)

For Phi^{^}(z,s,a)

For Phi^~(z,s,a)

With respect to s

For Phi(z,s,a)

For Phi^{^}(z,s,a)

For Phi^~(z,s,a)

With respect to z

For Phi(z,s,a)

For Phi^{^}(z,s,a)

For Phi^~(z,s,a)