Representation of Elementary Functions

Yuri A. Melnikov ()
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Yuri A. Melnikov: Middle Tennessee State University, Department of Mathematical Sciences Computational Sciences Program

Chapter Chapter 6 in Green's Functions and Infinite Products, 2011, pp 121-149 from Springer

Abstract: Abstract While the first five chapters in this book have touched upon more or less standard topics, the material of the present chapter goes in another direction. The reader will probably find it surprising. Indeed, the notions of infinite product and Green’s function, discussed in detail earlier in this volume, have customarily been included in texts on mathematical analysis and differential equations, respectively. The present chapter, in contrast, discusses an unusual idea that has never been explored in texts before. That is, a technique, reported for the first time in Melnikov (Appl. Math. Sci. 2 (2008) 81–97 and J. Math. Anal. Appl. 344 (2008) 521–534), is employed here for obtaining infinite product representations for a number of elementary functions.

Keywords: Dirichlet Problem; Cosine Function; Hyperbolic Function; Tangent Function; Infinite Product (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8280-4_6

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DOI: 10.1007/978-0-8176-8280-4_6

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