The formalism underlying the concept of negative derivatives is proved to be a powerful tool to study new series expansions of special functions defined by integral representations. Its importance is also discussed within the context of multiple integrations and of integral equations. (C) 2010 Elsevier Inc. All rights reserved.

Negative derivatives and special functions / Germano, Bruna; G., Dattoli; Martinelli, Maria Renata; P. E., Ricci. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - STAMPA. - 217:8(2010), pp. 3924-3928. [10.1016/j.amc.2010.09.056]

Negative derivatives and special functions

GERMANO, Bruna;MARTINELLI, Maria Renata;
2010

Abstract

The formalism underlying the concept of negative derivatives is proved to be a powerful tool to study new series expansions of special functions defined by integral representations. Its importance is also discussed within the context of multiple integrations and of integral equations. (C) 2010 Elsevier Inc. All rights reserved.
2010
gamma- and b-functions; multi-variable hermite polynomials; negative derivative operator; γ- and b-functions
01 Pubblicazione su rivista::01a Articolo in rivista
Negative derivatives and special functions / Germano, Bruna; G., Dattoli; Martinelli, Maria Renata; P. E., Ricci. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - STAMPA. - 217:8(2010), pp. 3924-3928. [10.1016/j.amc.2010.09.056]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/226515
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