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Riemann-Taylor Expansions and Fractional Derivatives (CROSBI ID 142126)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Elezović, Neven ; Tomovski, Živorad Riemann-Taylor Expansions and Fractional Derivatives // Panamerican mathematical journal, 18 (2008), 3; 15-29

Podaci o odgovornosti

Elezović, Neven ; Tomovski, Živorad

engleski

Riemann-Taylor Expansions and Fractional Derivatives

In this paper our intention is to show that formal calculus with (possible divergent) Riemann-Taylor's expansions is useful tool in fractional calculus. A list of Riemann-Taylor's expansions of certain well known special functions is given. The efficiency of this formal method is illustrated by improving several interesting differential formulas which are proved using other methods in some known handbooks and recently published papers.

Fractional derivatives; Riemann-Taylor's expansions; special functions

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Podaci o izdanju

18 (3)

2008.

15-29

objavljeno

1064-9735

Povezanost rada

Matematika

Indeksiranost