The Evolution Function of the Operator − (−Δ)v

The evolution function of the differential operator −(−Δ) v in a d -dimensional Euclidean space is calculated. We obtain its analytic expression through the Fox-Wright psi-functions, which is well-defined for both integer and noninteger values of v and d . Possible applications of the obtained funct...

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Veröffentlicht in:	Moscow University physics bulletin 2019, Vol.74 (1), p.17-23
Hauptverfasser:	Wachowski, W. N., Pronin, P. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Euclidean geometry Euclidean space Evolution Field theory Fractional calculus Mathematical analysis Mathematical and Computational Physics Operators (mathematics) Physics Physics and Astronomy Quantum field theory Quantum theory Theoretical Theoretical and Mathematical Physics
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