The G-functions as kernels in chain transforms

In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

On some method for diagnosing convergence in MCMC setups via atoms and renewal sets

Maciej Romaniuk (2007)

Control and Cybernetics

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Approximation by linear combination of Szász-Mirakian operators

H. Kasana, P. Agrawal (1999)

Colloquium Mathematicae

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Some results for generalised hypergeometric functions

Olkha, G.S., Rathie, P.N. (1970)

Portugaliae mathematica

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Some new Hardy spaces $L ² H_{R}^{q} (ℝ ²_{+} \times ℝ ²_{+})$ (0 < q ≤ 1)

Dachun Yang (1994)

Studia Mathematica

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For 0 < q ≤ 1, the author introduces a new Hardy space $L ² H_{ℝ}^{q} (ℝ ²_{+} \times ℝ ²_{+})$ on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth’s sense is deduced.