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Lacunary function

In analysis, a lacunary function or series is an analytic function that cannot be analytically continued anywhere outside the radius of convergence within which it is defined by a power series. The word lacunary is derived from lacuna (pl. lacunae), meaning gap, or vacancy.

Measurement, A simple example & Lacunary trigonometric series

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A simple example

An elementary result

Lacunary trigonometric series

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Lacunary function

Nodes31
Edges30
Triples30
Avg. degree1.94
Density0.064516
Components1

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Lacunary function

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related to References · 15
Lacunary function → American Mathematical Society, Cambridge University Press, Course, Edward Roy Cecil Miles, Katusi Fukuyama, Lacunary Functions, Lacunary Series, Modern Analysis, Proceedings, Shigeru Takahashi, Szolem Mandelbrojt, The Central Limit Theorem, The Rice Institute Pamphlet, Watson, Whittaker
related to External links · 11
Lacunary function → AMS, Fukuyama, Lacunary Functions, Lacunary Series, Mandelbrojt, MathWorld, Miles, PDF, Rice University, Takahashi, The Central Limit Theorem
related to An elementary result · 4
Lacunary function → The, To, We, What

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series lacunary function analytic gaps coefficients hadamard geometric unit λk functions open theorem power lacunae fourier simple trigonometric disk circle

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SubjectPredicateObjectConfidenceSrc
Lacunary functionrelated to An elementary resultThe0.60section
Lacunary functionrelated to An elementary resultWhat0.60section
Lacunary functionrelated to An elementary resultTo0.60section
Lacunary functionrelated to An elementary resultWe0.60section
Lacunary functionrelated to External linksFukuyama0.60section
Lacunary functionrelated to External linksTakahashi0.60section
Lacunary functionrelated to External linksPDF0.60section
Lacunary functionrelated to External linksThe Central Limit Theorem0.60section
Lacunary functionrelated to External linksLacunary Series0.60section
Lacunary functionrelated to External linksAMS0.60section
Lacunary functionrelated to External linksMandelbrojt0.60section
Lacunary functionrelated to External linksMiles0.60section

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