Titlebook: Explorations in Complex Functions; Richard Beals,Roderick S. C. Wong Textbook 2020 Springer Nature Switzerland AG 2020 Complex analysis te

偽造

https://doi.org/10.1007/978-3-030-33812-1s, counting multiplicity. Early in the development of complex function theory it was known that each rational function, as a function on the Riemann sphere, takes every value (finite or infinite) the same number of times.

GIBE

kindred

機密

genesis

Harmonic functions,ach harmonic. Conversely, at least locally, a real-valued harmonic function is the real part of a holomorphic function. A mean value property of these functions leads to analogues of the maximum modulus principle and its strong version.

AGATE

會議

Value distribution theory,s, counting multiplicity. Early in the development of complex function theory it was known that each rational function, as a function on the Riemann sphere, takes every value (finite or infinite) the same number of times.

tympanometry

Elliptic functions and theta functions,tions is .: periodic with respect to two sets of translations. This chapter presents the general theory of such functions, and Jacobi’s construction via theta functions. The following two chapters, which are independent of each other, present constructions due to Jacobi and to Weierstrass, respectively.

sigmoid-colon

https://doi.org/10.1007/978-3-030-54533-8Complex analysis textbook; Complex analysis for number theory; Linear fractional transformations; Harmo

GRATE

https://doi.org/10.1007/978-981-15-8143-4ingularities, residues, and the complex logarithm. Also included are three topics that are not as standard for an elementary course, but are used in many of the following chapters: reflection properties, infinite products, and analytic continuation. For all this material we give brief discussions an