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An Introduction to Integral Transforms and Their Applications
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Ashland :
Arcler Press,
2019.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half Title Page; Title Page; Copyright Page; Declaration; About the Editor; Table of Contents; List of Contributors; List of Abbreviations; Preface; Chapter 1 Global behavior of Integral Transforms; Abstract; Introduction; Preliminaries; Characterization of The Class; Oscillatory Kernels; Laplace Transform; References; Chapter 2 The Intrinsic Structure And Properties of Laplace-Typed Integral Transforms; Abstract; Introduction; The Properties of Laplace-Typed Integral Transforms; Differentiation and Integration of Transforms: Odes With Variable Coefficients
- G-Transforms of Heaviside Function and Dirac's Delta Function: Shifted Data ProblemsThe Solution of Semi-Infinite String by -Transform; Conclusion; Acknowledgments; References; Chapter 3 On the Q-Laplace Transform and Related Special Functions; Abstract; Introduction; The Q-Laplace Transform and Basic Properties; The Q-Laplace Transform of Some Basic Functions; Connection to Other Integral Transforms; Differential Equations by Means of The Q-Laplace Transform; Conclusions; Acknowledgments; Author Contributions; References; Chapter 4 Fourier-Mellin Transforms For Circular Domains; Abstract
- IntroductionA Transform Method for Convex Polygons; A Transform Method for Circular Domains; Applications to Boundary Value Problems; The Problem of Dual Fourier Series; Mixed Boundary Value Problem in a Semi-Disc; Mixed Boundary Value Problem in a Lens-Shaped Domain; Discussion; Acknowledgments; Appendix A: Alternative Derivation of (31); Appendix B: The Classical (Complex) Mellin Transform Pair; References; Chapter 5 Singular Integral Equations of Convolution Type With Hilbert Kernel and a Discrete Jump Problem; Abstract; Introduction; Hilbert Transform and Its Discrete Laurent Transform
- Problem Presentation And SolutionHomogenous Equation And Some Specific Equation; Conclusions; Acknowledgements; References; Chapter 6 Matrix Fourier Transforms For Consistent Mathematical Models; Abstract; Introduction; Matrix Fourier Transforms With Piecewise Trigonometric Kernels; Special Types of Matrix Integral Fourier Transforms; Analytical Solution of Iterated Heat Conduction Equation; Stress Produced In The Elastic Semi-Infinite Solid By Pressure; Conclusion; References; Chapter 7 Applications of The Fuzzy Sumudu Transform For The Solution of First Order Fuzzy Differential Equations
- AbstractIntroduction; Preliminaries; Fuzzy Sumudu Transform; Procedure For Solving Fuzzy Differential Equations; A Numerical Example; Conclusions; Acknowledgments; Author Contributions; References; Chapter 8 The Mehler-Fock Transform in Signal Processing; Abstract; Introduction; Positive Signals; The Unit Disk and The Group Su(1,1); Kernel Density Estimators And Mehler-Fock Transform; Illustration and Implementation; Summary and Discussion; Acknowledgments; References; Chapter 9 Local Fractional -Transforms With Applications To Signals on Cantor Sets; Abstract; Introduction