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  2. Regning og matematisk analyse
  3. Funktionsanalyse og transformation

Generalized Mathieu Series

Af: Stefan Gerhold, Zivorad Tomovski, Delco Leskovski Engelsk Paperback

Generalized Mathieu Series

Af: Stefan Gerhold, Zivorad Tomovski, Delco Leskovski Engelsk Paperback
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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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 160
ISBN-13: 9783030848194
Indbinding: Paperback
Udgave:
ISBN-10: 3030848191
Kategori: Funktionsanalyse og transformation
Udg. Dato: 17 nov 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 17 nov 2022
Forfatter(e): Stefan Gerhold, Zivorad Tomovski, Delco Leskovski
Forfatter(e) Stefan Gerhold, Zivorad Tomovski, Delco Leskovski

Kategori Funktionsanalyse og transformation

ISBN-13 9783030848194

Sprog Engelsk

Indbinding Paperback

Sider 160

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 17 nov 2022

Oplagsdato 17 nov 2022

Forlag Springer Nature Switzerland AG

Kategori sammenhænge