Recent Advances in the Approximation of Constants and Special Function

This book is not for professional mathematicians but rather it is aimed at students of mathematics, undergraduates, and those who teach them. It is an encouraging book that will give them an idea of how fascinating mathematics can be. Mathematical constants and special functions have important applications in almost every field of engineering and science. The Euler-Mascheroni constant is generally accepted to be the most significant of the 'constant' and as such is the important special constant of mathematics, after π and e; The Lugo constant and the Somos quadratic recurrent constant appear in important problems from pure and applied analysis. The factorials and the gamma function often arise in several situations in the mathematics and other branches of science. Gamma function is also linked to the Euler-Mascheroni constants. In this fields, an important task is to find of new sequences convergent to the mathematical constants and the special functions with quicker rate of convergence. In this book, we extend our remarkable results and offer a more comprehensive overview. The book contains 3 chapters, with each chapter consisting of two major parts.