Integral representations of Dini series of Bessel functions (CROSBI ID 186117)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Baricz, Árpád ; Jankov, Dragana ; Poganj, Tibor
engleski
Integral representations of Dini series of Bessel functions
Two different type integral representation formulae are established for Dini (or Fourier-Dini) series of Bessel functions. The first one is a double definite integral expression derived by using a method successfully applied in the similar questions for Neumann, Kapteyn and Schlomilch series, while the another double indefinite integral formula is concluded by means of the non-homogeneous Bessel differential equation.
Dini series of Bessel functions ; Schloemilch series ; Kapteyn series ; Bessel functions of the first kind ; Non-homogeneous Bessel differential equation
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Podaci o izdanju
24 (8)
2013.
628-635
objavljeno
1065-2469
1476-8291
10.1080/10652469.2012.728594