Displaying similar documents to “On a Summability Method Defined by Means of Hermite Polynomials Върху един метод на сумиране, дефиниран чрез полиномите на Ермит”

Complete Systems of Hermite Associated Functions

Rusev, Peter (2000)

Serdica Mathematical Journal

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It is proved that if the increasing sequence kn n=0..∞ n=0 of nonnegative integers has density greater than 1/2 and D is an arbitrary simply connected subregion of CRthen the system of Hermite associated functions Gkn(z) n=0..∞ is complete in the space H(D) of complex functions holomorphic in D.

Almost everywhere summability of Laguerre series. II

K. Stempak (1992)

Studia Mathematica

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Using methods from [9] we prove the almost everywhere convergence of the Cesàro means of Laguerre series associated with the system of Laguerre functions L n a ( x ) = ( n ! / Γ ( n + a + 1 ) ) 1 / 2 e - x / 2 x a / 2 L n a ( x ) , n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the A p weights theory. We also take the opportunity to comment and slightly improve on our results from [9].

Integral representations for multiple Hermite and multiple Laguerre polynomials

Pavel M. BLEHER, Arno B.J. Kuijlaars (2005)

Annales de l’institut Fourier

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We give integral representations for multiple Hermite and multiple Laguerre polynomials of both type I and II. We also show how these are connected with double integral representations of certain kernels from random matrix theory.