Synopsis
Unlock the math behind Laplace transforms and exponential functions with this rigorous study.
This book presents a focused, purely mathematical exploration of how to determine original functions from their Laplace transforms, including asymptotic behavior as time approaches zero.
The work frames a general problem in diffraction and electromagnetic contexts while keeping the discussion grounded in clear, step-by-step derivations. Readers gain access to specialized techniques and relationships among advanced special functions, all explained with a steady emphasis on the underlying math.- Derivation of original functions for Laplace transforms with fractional exponents
- Connections between E-functions, hypergeometric functions, and related special functions
- Asymptotic analysis of inverse transforms as t → 0
- Structured derivations suitable for readers comfortable with higher mathematics
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