Multiply Periodic Functions

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ISBN: 9780521546485 | 0521546486
Cover: Paperback
Copyright: 4/30/2020

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This is a re-issue of the classic book from H. F. Baker. In two parts, this book first deals with the theory of hyperelliptic functions of two variables, and then with the reduction of the theory of general multiply-periodic functions to the theory of algebraic functions. It provides an elementary and self-contained introduction to many of the leading ideas in the theory of multiply periodic functions, whilst illuminating the importance of this theory in analytical geometry.

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Hyperelliptic Functions of Two Variables
Introduction
The differential equations for the sigma functions
Analytical results relating to the associated quartic surfaces
The expansion of sigma functions
Certain functional relations and their geometrical interpretation
The Reduction of the Theory of Multiply-Periodic Functions to the Theory of Algebraic Functions
General introductory theorems
On the rreduction of the theory of a multiply-periodic function to the theory of algebraic functions
Defective integrals
Propositions for rational functions. Expression of a general periodic function by theta functions
The zeros of Jacobian functions
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Multiply Periodic Functions

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