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portada Generalized Mathieu Series
Type
Physical Book
Author
Publisher
Language
English
Pages
160
Format
Paperback
Dimensions
23.4x15.6x1 cm
Weight
0.26 kg.
ISBN13
9783030848194
Categories

Generalized Mathieu Series

Zivorad Tomovski (Author) · Delčo Leskovski (Author) · Stefan Gerhold (Author) · Springer · Paperback

Generalized Mathieu Series - Tomovski, Zivorad ; Leskovski, Delčo ; Gerhold, Stefan

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Synopsis "Generalized Mathieu Series "

The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck's distribution is also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.

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