Almost everywhere convergence of some summabillity methods for Laguerre series
Jolanta Długosz (1985)
Studia Mathematica
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Jolanta Długosz (1985)
Studia Mathematica
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Sundaram Thangavelu (1990)
Revista Matemática Iberoamericana
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Sarkar, Asit (2002)
Serdica Mathematical Journal
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A group-theoretic method of obtaining more general class of generating functions from a given class of partial quasi-bilateral generating functions involving Hermite, Laguerre and Gegenbaur polynomials are discussed.
B. Kuttner (1977)
Compositio Mathematica
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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.
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 , n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the weights theory. We also take the opportunity to comment and slightly improve on our results from [9].
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.
Peter Rusev (1983)
Banach Center Publications
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