Abstract
The Weierstrass product representation characterises an entire function by its zeros, up to a factor of the form e8(z), where g(z) is also an entire function (Section 9.2). In general it is not possible to say anything more precise about g(z), but in the previous examples of sin πz, 1/Γ(z) (Chapter 9) and ξ1 (z) (Section 15.3), the function g(z) has an extremely simple form.
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© 1991 Springer Science+Business Media Dordrecht
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Koch, H. (1991). Entire functions with growth of finite order. In: Introduction to Classical Mathematics I. Mathematics and Its Applications, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3218-3_26
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DOI: https://doi.org/10.1007/978-94-011-3218-3_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-1238-3
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