On a sum with a three-parameter Mittag-Leffler function. Issue 8 (2nd August 2016)

• Record Type: Journal Article
• Authors: Oliveira, D.S. de; Capelas de Oliveira, E.; Deif, Sarah
• Is Part Of: Integral transforms and special functions. Volume 27:Issue 8(2016)
• Page Start: 639
• Page End: 652
• Publication Date: 2016-08-02
• Subjects: Mittag-Leffler functions -- Laplace transform -- Volterra integral equation -- error bounds -- sum of series; 33E12 -- 44A10 -- 45D05 -- 49Q12 -- 65B10; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2016.1182523
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: The bounding of the two-parameter Mittag-Leffler function is discussed. As a particular consequence, we present two proofs for a sum involving a three-parameter Mittag-Leffler function. This sum can be seen as a generalization of a relation involving a product of two exponential functions. Particular cases are recovered.