1 + 2 t cos ( +)(50)+| x |two tProof. This theorem has been demonstrated earlier [14,46], working with the formulation in terms of a Olesoxime custom synthesis Mellin arnes integral. Right here, we present a proof that arrives straight from the LT from the Mittag effler function. Take into consideration the relation (47). We intend to compute its inverse FT. For beginning, let us reverse the roles on the variables t and G (, t) = In addition to, note thatn =(-1)n tn| | n ein two sgn ( n + 1)(51)| | n einand g( x, t) = 1sgn=n ein0 (- ) n e-inR n =(-1)n tn| | n ein 2 sgn ix 1 e d = ( n + 1)1n =(-1)n ein two tn ( n + 1) eix d +nn =(-1)n e-in two tn ( n + 1) e-ix.
