On a Generalized Mittag–Leffler Theorem and Implicit Differintegration

DOI10.1137/0520031zbMath0673.30002OpenAlexW2083397515MaRDI QIDQ3826801

L. M. B. C. Campos

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520031

zbMATH Keywords

generalized derivativesMittag-Leffler expansion

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General properties of functions of one complex variable (30A99) Meromorphic functions of one complex variable (general theory) (30D30) Series expansions of functions of one complex variable (30B99)

Related Items (3)

On an approach to complex analysis via differintegrations ⋮ The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions ⋮ On some solutions of the extended confluent hypergeometric differential equation

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