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2011 | OriginalPaper | Chapter

2. Infinite Products and Elementary Functions

Author : Yuri A. Melnikov

Published in: Green's Functions and Infinite Products

Publisher: Birkhäuser Boston

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Abstract

The objective in this chapter is to lay out a working background for dealing with infinite products and their possible applications. The reader will be familiarized with a specific topic that is not often included in traditional texts on related courses of mathematical analysis, namely the infinite product representation of elementary functions.

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previous chapter Introduction
next chapter Green’s Functions for the Laplace Equation
Literature
5.
V.I. Smirnov, A Course of Higher Mathematics, Vols. 1 and 4, Pergamon, Oxford, 1964
6.
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965
9.
I.S. Gradstein and I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York, 1971
20.
W.J. Kaczor and M.T. Nowak, Problems in Mathematical Analysis, I, AMS, Providence, 2000 MATH
26.
V.S. Varadarajan, Euler and his work on infinite series, Bull. Am. Math. Soc., 44 (2007), no. 4, pp. 515–539 MathSciNetCrossRef
27.
Yu. A. Melnikov, New infinite product representations of some elementary functions, Appl. Math. Sci., 2 (2008), no. 2, pp. 81–97 MATH
28.
Yu.A. Melnikov, A new approach to the representation of trigonometric and hyperbolic functions by infinite products, J. Math. Anal. Appl., 344 (2008), no. 1, pp. 521–534 MathSciNetMATHCrossRef
Metadata
Title
Infinite Products and Elementary Functions
Author
Yuri A. Melnikov
Copyright Year
2011
Publisher
Birkhäuser Boston
Book
Green's Functions and Infinite Products

Print ISBN: 978-0-8176-8279-8

Electronic ISBN: 978-0-8176-8280-4

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-0-8176-8280-4_2

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