Expansions of solutions of higher order evolution equations in series of generalized heat polynomials.

Hile, G.N.; Stanoyevitch, Alexander

Displaying similar documents to “Expansions of solutions of higher order evolution equations in series of generalized heat polynomials.”

A new lower bound for ${∥ (3 / 2)}^{k} ∥$

Wadim Zudilin (2007)

Journal de Théorie des Nombres de Bordeaux

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We prove that, for all integers $k$ exceeding some effectively computable number $K$ , the distance from ${(3 / 2)}^{k}$ to the nearest integer is greater than $0 . 5803^{k}$ .

Non-autonomous inhomogeneous boundary Cauchy problems.

Filali, Mohammed, Karim, Belhadj (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Theorems on the Convergence of Series in Generalized Lommel-Wright Functions

Paneva-Konovska, Jordanka (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20 The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula...