On the Fractional Sums of Some Special Functions
Sign Up to like & getrecommendations! Published in 2019 at "Results in Mathematics"
DOI: 10.1007/s00025-019-0964-4
Abstract: We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the specific values… read more here.
Keywords: functions fractional; special functions; fractional sums; sums special ... See more keywords
Quasiprobability Distribution Functions from Fractional Fourier Transforms
Sign Up to like & getrecommendations! Published in 2019 at "Symmetry"
DOI: 10.3390/sym11030344
Abstract: We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of… read more here.
Keywords: fractional fourier; functions fractional; distribution functions; quasiprobability distribution ... See more keywords