The Springer Monographs in Mathematics series, edited by Isabelle Gallagher and Minhyong Kim, publishes advanced monographs that provide well-written presentations of the latest research in various fields of mathematics. These monographs are self-contained and comprehensive, making them accessible to a broad audience and valuable references for years to come. They should also describe the relevance of the field to other areas of mathematics and point to future research directions. The book "Mittag-Leffler Functions, Related Topics and Applications" (Second Edition) is a collaboration between Rudolf Gorenflo, Francesco Mainardi, and Sergei Rogosin. It covers the Mittag-Leffler function and its generalizations, focusing on their role in fractional calculus and modeling. The book includes new results and applications, with significant additions to each chapter. Key topics include the classical Mittag-Leffler function, two-parametric and three-parametric Mittag-Leffler functions, multi-index and multi-variable Mittag-Leffler functions, and the Wright function. The book also discusses applications to fractional order equations, deterministic models, and stochastic models. The authors express gratitude to their colleagues and friends, particularly Anatoly Kilbas and Rudolf Gorenflo, who passed away before the publication of the second edition.The Springer Monographs in Mathematics series, edited by Isabelle Gallagher and Minhyong Kim, publishes advanced monographs that provide well-written presentations of the latest research in various fields of mathematics. These monographs are self-contained and comprehensive, making them accessible to a broad audience and valuable references for years to come. They should also describe the relevance of the field to other areas of mathematics and point to future research directions. The book "Mittag-Leffler Functions, Related Topics and Applications" (Second Edition) is a collaboration between Rudolf Gorenflo, Francesco Mainardi, and Sergei Rogosin. It covers the Mittag-Leffler function and its generalizations, focusing on their role in fractional calculus and modeling. The book includes new results and applications, with significant additions to each chapter. Key topics include the classical Mittag-Leffler function, two-parametric and three-parametric Mittag-Leffler functions, multi-index and multi-variable Mittag-Leffler functions, and the Wright function. The book also discusses applications to fractional order equations, deterministic models, and stochastic models. The authors express gratitude to their colleagues and friends, particularly Anatoly Kilbas and Rudolf Gorenflo, who passed away before the publication of the second edition.