Laguerre–Pólya class
The Laguerre–Pólya class is the class of entire functions consisting of those functions which are locally the limit of a series of polynomials whose roots are all real.Any function of Laguerre–Pólya class is also of Pólya class. The product of two functions in the class is also in the class, so the class constitutes a monoid under the operation of function multiplication. Some properties of a function in the Laguerre–Pólya class are:
* All roots are real.
* for x and y real.
* is a non-decreasing function of y for positive y.
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Laguerre–Pólya class
The Laguerre–Pólya class is the class of entire functions consisting of those functions which are locally the limit of a series of polynomials whose roots are all real.Any function of Laguerre–Pólya class is also of Pólya class. The product of two functions in the class is also in the class, so the class constitutes a monoid under the operation of function multiplication. Some properties of a function in the Laguerre–Pólya class are:
* All roots are real.
* for x and y real.
* is a non-decreasing function of y for positive y.
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La clase Laguerre – Pólya es l ...... o tomar el producto infinito).
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The Laguerre–Pólya class is th ...... to take the infinite product.)
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La clase Laguerre – Pólya es l ...... reciente de y para y positivo.
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The Laguerre–Pólya class is th ...... function of y for positive y.
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Clase Laguerre–Pólya
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Laguerre–Pólya class
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