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Selected Topics in Analysis and Its Applications.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2018.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title Page; Copyright; Contents; Preface; About the Editors; List of Contributors; Chapter 1 Spaces of Asymptotically Developable Functions and Applications; 1.1 Introduction and Some Notations; 1.2 Strong Asymptotic Expansions; 1.3 Monomial Asymptotic Expansions; 1.4 Monomial Summability for Singularly Perturbed Differential Equations; 1.5 Pfaffian Systems; References; Chapter 2 Duality for Gaussian Processes from Random Signed Measures; 2.1 Introduction; 2.2 Reproducing Kernel Hilbert Spaces (RKHSs) in the Measurable Category; 2.3 Applications to Gaussian Processes.
- 2.4 Choice of Probability Space2.5 A Duality; 2.A Stochastic Processes; 2.B Overview of Applications of RKHSs; Acknowledgments; References; Chapter 3 Many-Body Wave Scattering Problems for Small Scatterers and Creating Materials with a Desired Refraction Coefficient; 3.1 Introduction; 3.2 Derivation of the Formulas for One-Body Wave Scattering Problems; 3.3 Many-Body Scattering Problem; 3.3.1 The Case of Acoustically Soft Particles; 3.3.2 Wave Scattering by Many Impedance Particles; 3.4 Creating Materials with a Desired Refraction Coefficient.
- 3.5 Scattering by Small Particles Embedded in an Inhomogeneous Medium3.6 Conclusions; References; Chapter 4 Generalized Convex Functions and their Applications; 4.1 Brief Introduction; 4.2 Generalized E-Convex Functions; 4.3 Ea- Epigraph; 4.4 Generalized s-Convex Functions; 4.5 Applications to Special Means; References; Chapter 5 Some Properties and Generalizations of the Catalan, Fuss, and Fuss-Catalan Numbers; 5.1 The Catalan Numbers; 5.1.1 A Definition of the Catalan Numbers; 5.1.2 The History of the Catalan Numbers; 5.1.3 A Generating Function of the Catalan Numbers.
- 5.1.4 Some Expressions of the Catalan Numbers5.1.5 Integral Representations of the Catalan Numbers; 5.1.6 Asymptotic Expansions of the Catalan Function; 5.1.7 Complete Monotonicity of the Catalan Numbers; 5.1.8 Inequalities of the Catalan Numbers and Function; 5.1.9 The Bell Polynomials of the Second Kind and the Bessel Polynomials; 5.2 The Catalan-Qi Function; 5.2.1 The Fuss Numbers; 5.2.2 A Definition of the Catalan-Qi Function; 5.2.3 Some Identities of the Catalan-Qi Function; 5.2.4 Integral Representations of the Catalan-Qi Function; 5.2.5 Asymptotic Expansions of the Catalan-Qi Function.
- 5.2.6 Complete Monotonicity of the Catalan-Qi Function5.2.7 Schur-Convexity of the Catalan-Qi Function; 5.2.8 Generating Functions of the Catalan-Qi Numbers; 5.2.9 A Double Inequality of the Catalan-Qi Function; 5.2.10 The q-Catalan-Qi Numbers and Properties; 5.2.11 The Catalan Numbers and the k-Gamma and k-Beta Functions; 5.2.12 Series Identities Involving the Catalan Numbers; 5.3 The Fuss-Catalan Numbers; 5.3.1 A Definition of the Fuss-Catalan Numbers; 5.3.2 A Product-Ratio Expression of the Fuss-Catalan Numbers; 5.3.3 Complete Monotonicity of the Fuss-Catalan Numbers.