By Jordanka Paneva-Konovska
Bessel and Mittag–Leffler services are famous inside mathematical and clinical fields as a result of expanding curiosity in non-conventional versions inside utilized arithmetic. because the analytical recommendations of many differential and essential equations of arbitrary order might be written as sequence of targeted capabilities of fractional calculus, they're now unavoidable instruments for dealing with numerous mathematical versions of integer or fractional order. From Bessel to Multi-Index Mittag–Leffler capabilities analyzes this in the course of the research of enumerable households of other periods of designated functions.
Enumerable households are thought of and the convergence of sequence is investigated. delivering a unified method of the classical energy sequence, analogues of the classical effects for the facility sequence are received, and the realization is that every of the thought of sequence has an identical convergence habit to an influence sequence. additionally studied are numerous houses of the Bessel and Mittag–Leffler services and their generalizations, together with estimations, asymptotic formulae, fractional differentiation and integration operators.
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