Advances in Dual Integral Equations

This book presents the development of dual integral equations (DIE) during the last 25 years -- the only book available offering this coverage. Topics include approximation theory, integral transforms and integral equations, mechanics of solids, fluid mechanics, and mathematical physics. This resource assists researchers in applied mathematics, specializing in integral equations and mixed boundary value problems in solid mechanics, fluid mechanics, and mathematical physics.

List of contents

Introduction, An Overview of Dual Integral Equations, Two Special Methods for Solving Some Classes of Dual Integral Equations, Dual Integral Equations with Bessel Function Kernel, Kernels Involving a Bessel Function of the First Kind, Kernels Involving a Bessel Function of the Second Kind, Dual Integral Equations Related to the Kontorovich-Levedev Transform, Dual Integral Equations Associated with Inverse Weber-Orr Transforms, Dual Integral Equations with Spherical Harmonic Kernel, Kernels Involving Legendre Functions, Kernels Involving Associated Legendre Functions,, Kernels Involving Generalized Associated Legendre Functions, Dual Integral Equations with Trigonometric Function Kernel, Some Elementary Methods, Solutions by Using the Generalized Mehler-Fock Inversion Theorem, Solutions by Using the Generalized Associated Mehler-Fock Inversion Theorem, Dual Integral Equations Involving Inverse Mellin Transforms, Hybrid Dual Integral Equations, Mixed Kernels with Generalized Associated Legendre Functions, Mixed Kernels Involving Bessel Functions, Appendix: Useful Results of some Special Functions, Bessel Functions, Legendre and Associated Legendre Functions, Generalized Associated Legendre Functions

About the author

B N Mandal, Nanigopal Mandal

Summary

Presents developments in dual integral equations involving various special functions as kernel. This work examines dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus those involving inverse Mellin transforms.

Product details

• Authors: B N Mandal, B N (Physics/applied Maths Unit Mandal, B. N. Mandal, B.N. Mandal, Nanigopal Mandal, Nanigopal (Consultant Mandal, Mandal Nanigopal
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 18.12.1998
• EAN: 9780849306174
• ISBN: 978-0-8493-0617-4
• No. of pages: 232
• Weight: 417 g
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series; Chapman & Hall/CRC Research Notes in Mathematics; Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy; TECHNOLOGY & ENGINEERING / Mechanical, SCIENCE / Physics / General, SCIENCE / Mechanics / Fluids, MATHEMATICS / Calculus, SCIENCE / Mechanics / Solids, Physics, Mechanics of solids, Mechanics of fluids, Integral calculus & equations, Engineering: Mechanics of fluids, Engineering: Mechanics of solids, Integral calculus and equations