Sentences with MEROMORPHIC

"The function is meromorphic on the entire complex plane except at a finite set of poles."

"The meromorphic function has simple poles at the points where it is not analytic."

"A rational function is an example of a meromorphic function."

"The Laurent series expansion of a meromorphic function converges in an annulus."

"The residue of a meromorphic function at a pole can be computed using the Residue theorem."

"The function's meromorphic continuation is defined on a larger domain."

"The meromorphic function is regular except at isolated singularities."

"The singularities of a meromorphic function are either poles or removable."

"The Weierstrass factorization theorem characterizes meromorphic functions."

"A meromorphic function can be expressed as a quotient of two entire functions."

"The Gamma function is meromorphic in the entire complex plane."

"The Riemann zeta function is another example of a meromorphic function."

"The Mittag-Leffler theorem states the existence of meromorphic functions with prescribed poles."

"A meromorphic function may have infinitely many poles."

"A meromorphic form is a differential form that is meromorphic with respect to a given complex structure."

"A meromorphic differential equation is an equation involving meromorphic functions and their derivatives."

"A meromorphic curve is a map from a Riemann surface to the complex plane that is meromorphic."

"A meromorphic modular form is a holomorphic function that satisfies certain transformation properties."

"The Casorati-Weierstrass theorem relates the behavior of an analytic function near an essential singularity to the behavior of its reciprocal, which is meromorphic."