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{{r|Complex analysis}} {{r|Pole (complex analysis)}}

| title = An Introduction to Classical Complex Analysis. Vol. 1 }}. A comprehensive textbook on some topics of [[complex analysis]], with historical sections at the end of each chapter and also many histor

...h to the theory. The authors are well known contributors to the field of [[complex analysis]].

In complex analysis, a meromorphic function on an open subset D of the complex plane is a funct

{{r|Complex analysis}}

|title = Complex Analysis

{{r|Complex analysis}}

{{ dambigbox| Complex analysis | Analysis }} ...ing complex-valued functions does not qualify something for being called ''complex analysis''; it is really the new definitions of differentiation and integration with

===Using complex analysis=== There are also proofs that do not depend on [[complex analysis]], but they require more [[algebra|algebraic]] or [[topology|topological]]

...uence, allowing the application of methods of [[real analysis|real]] and [[complex analysis]] to problems in [[algorithmics]], [[combinatorics]], [[number theory]], [[

...Littlewood | authorlink=J. E. Littlewood | title=Some problems in real and complex analysis | publisher=D.C. Heath | year=1968 }}

{{r|Pole (complex analysis)}}

{{r|Complex analysis}}

'''Holomorphic functions''' are the central object of study of [[complex analysis]]; they are [[function (mathematics)|functions]] defined on an [[open set|o ...oincides with the class of ''holomorphic functions'' is a major theorem in complex analysis.

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{{r|Complex analysis}}

In [[complex analysis]], the '''Cauchy-Riemann equations''' are one of the of the basic objects o ...ics]]<ref>See {{harvnb|D'Alembert|1752}}.</ref>: this connection between [[complex analysis]] and hydrodynamics is made explicit in classical [[treatise]]s of the latt

{{r|Complex analysis}}

A '''modular form''' is a type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modula

{{r|Pole (complex analysis)}}