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Geometric Properties of Mittag-Leffler Functions

  • Dorina Răducanu
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 179)

Abstract

In recent decades the attention towards Mittag-Leffler type functions has deepened due to their direct involvement in problems of physics, biology, chemistry, engineering and other applied sciences. More precisely, applications of Mittag-Leffler functions appear in stochastic systems (Polito and Scalas (2016)), statistical distribution with results obtained by Pillai (1990), dynamical models investigated by An et al. (2012) etc. Special emphasis should be placed on the applications of Mittag-Leffler type functions in fractional calculus (Kilbas et al. (2004), Srivastava and Tomovski (2009)) and also fractional differential and integral equations such as: diffusion equation with results obtained by Langlands (2006) and Yu and Zhang (2006), telegraph equation (Camargo et al. (2012)), kinetic equation (Metzler and Klafter (2000)), Abel type integral equations investigated by Kilbas and Saigo (1995) just to mention a few.

Keywords

Convex Starlike Close-to-convex Mittag-leffler function 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceTransilvania University of BraşovBraşovRomania

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