We obtain analytical expressions for the time rate of change of the potential energy, the kinetic energy and the total energy of a fractional oscillator in terms of the products of Mittag-Le er functions. We propose a deΓΏnition for the intrinsic damping force of this oscillator. We obtain a general
β¦ LIBER β¦
-expansion and the fractional oscillator
β Scribed by A. Tofighi; H. Nasrolah Pour
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 133 KB
- Volume
- 374
- Category
- Article
- ISSN
- 0378-4371
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A recent paper (J. Number Theory 42 (1992), 61 87) announced various arithmetical properties of the Mahler function f (%, ,; x, y)= k=1 1 m k%+, x k y m . Unfortunately the arguments of that paper are marred by an error whereby the arguments hold only for ,=0 (or when b n =1 for all positive integer