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Produktbild: Mathematical Analysis and Applications

Mathematical Analysis and Applications Selected Topics

168,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

08.05.2018

Herausgeber

Michael Ruzhansky + weitere

Verlag

John Wiley & Sons

Seitenzahl

768

Maße (L/B/H)

23,1/15,7/3 cm

Gewicht

1066 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-41434-6

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

08.05.2018

Herausgeber

Verlag

John Wiley & Sons

Seitenzahl

768

Maße (L/B/H)

23,1/15,7/3 cm

Gewicht

1066 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-41434-6

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Mathematical Analysis and Applications
  • Preface xv
     
    About the Editors xxi
     
    List of Contributors xxiii
     
    1 Spaces of Asymptotically Developable Functions and Applications 1
    Sergio Alejandro Carrillo Torres and Jorge Mozo Fernández
     
    1.1 Introduction and Some Notations 1
     
    1.2 Strong Asymptotic Expansions 2
     
    1.3 Monomial Asymptotic Expansions 7
     
    1.4 Monomial Summability for Singularly Perturbed Differential Equations 13
     
    1.5 Pfaffian Systems 15
     
    References 19
     
    2 Duality for Gaussian Processes from Random Signed Measures 23
    Palle E.T. Jorgensen and Feng Tian
     
    2.1 Introduction 23
     
    2.2 Reproducing Kernel Hilbert Spaces (RKHSs) in the Measurable Category 24
     
    2.3 Applications to Gaussian Processes 30
     
    2.4 Choice of Probability Space 34
     
    2.5 A Duality 37
     
    2.A Stochastic Processes 40
     
    2.B Overview of Applications of RKHSs 45
     
    Acknowledgments 50
     
    References 51
     
    3 Many-Body Wave Scattering Problems for Small Scatterers and Creating Materials with a Desired Refraction Coefficient 57
    Alexander G. Ramm
     
    3.1 Introduction 57
     
    3.2 Derivation of the Formulas for One-Body Wave Scattering Problems 62
     
    3.3 Many-Body Scattering Problem 65
     
    3.3.1 The Case of Acoustically Soft Particles 68
     
    3.3.2 Wave Scattering by Many Impedance Particles 70
     
    3.4 Creating Materials with a Desired Refraction Coefficient 71
     
    3.5 Scattering by Small Particles Embedded in an Inhomogeneous Medium 72
     
    3.6 Conclusions 72
     
    References 73
     
    4 Generalized Convex Functions and their Applications 77
    Adem Kiliçman and Wedad Saleh
     
    4.1 Brief Introduction 77
     
    4.2 Generalized E-Convex Functions 78
     
    4.3 E¯alpha-Epigraph 84
     
    4.4 Generalized s-Convex Functions 85
     
    4.5 Applications to Special Means 96
     
    References 98
     
    5 Some Properties and Generalizations of the Catalan, Fuss, and Fuss-Catalan Numbers 101
    Feng Qi and Bai-Ni Guo
     
    5.1 The Catalan Numbers 101
     
    5.1.1 A Definition of the Catalan Numbers 101
     
    5.1.2 The History of the Catalan Numbers 101
     
    5.1.3 A Generating Function of the Catalan Numbers 102
     
    5.1.4 Some Expressions of the Catalan Numbers 102
     
    5.1.5 Integral Representations of the Catalan Numbers 103
     
    5.1.6 Asymptotic Expansions of the Catalan Function 104
     
    5.1.7 Complete Monotonicity of the Catalan Numbers 105
     
    5.1.8 Inequalities of the Catalan Numbers and Function 106
     
    5.1.9 The Bell Polynomials of the Second Kind and the Bessel Polynomials 109
     
    5.2 The Catalan-Qi Function 111
     
    5.2.1 The Fuss Numbers 111
     
    5.2.2 A Definition of the Catalan-Qi Function 111
     
    5.2.3 Some Identities of the Catalan-Qi Function 112
     
    5.2.4 Integral Representations of the Catalan-Qi Function 114
     
    5.2.5 Asymptotic Expansions of the Catalan-Qi Function 115
     
    5.2.6 Complete Monotonicity of the Catalan-Qi Function 116
     
    5.2.7 Schur-Convexity of the Catalan-Qi Function 118
     
    5.2.8 Generating Functions of the Catalan-Qi Numbers 118
     
    5.2.9 A Double Inequality of the Catalan-Qi Function 118
     
    5.2.10 The q-Catalan-Qi Numbers and Properties 119
     
    5.2.11 The Catalan Numbers and the k-Gamma and k-Beta Functions 119
     
    5.2.12 Series Identities Involving the Catalan Numbers 119
     
    5.3 The Fuss-Catalan Numbers 119
     
    5.3.1 A Definition of the Fuss-Catalan Numbers 119
     
    5.3.2 A Product-Ratio Expression of the Fuss-Catalan Numbers 120
     
    5.3.3 Complete Monotonicity of the Fuss-Catalan Numbers 120