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math.CA2018
Regularized integral representations of the reciprocal Gamma function
Dimiter Prodanov
This paper establishes a real integral representation of the reciprocal function in terms of a regularized hypersingular integral. The equivalence with the usual complex repres…
math.CA2018
Anisotropic solutions of the time-fractional diffusion equation in multiple dimensions
Dimiter Prodanov
Anomalous diffusion phenomena are ubiquitous in complex media, such as biological tissues. A wide class of sub-diffusive phenomena phenomena is described by the time-fractional dif…