Evaluating improper integrals using Laplace transforms

DOI10.14321/realanalexch.48.1.1653552235zbMath1527.26016OpenAlexW4321767814MaRDI QIDQ6046603

Russell A. Gordon, Seán Mark Stewart

Publication date: 11 May 2023

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-48/issue-1/Evaluating-Improper-Integrals-using-Laplace-Transforms/10.14321/realanalexch.48.1.1653552235.full

zbMATH Keywords

Laplace transformtrigonometric functionsimproper integrals

Mathematics Subject Classification ID

Laplace transform (44A10) Real-analytic functions (26E05) Antidifferentiation (26A36)

Related Items (1)

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Cites Work

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• New Dirac delta function based methods with applications to perturbative expansions in quantum field theory
• On the Theorem of Frullani
• Integrating the tails of two Maclaurin series
• Integration by differentiation: new proofs, methods and examples
• Sine, cosine and exponential integrals
• Some improper integrals involving the square of the tail of the sine and cosine functions
• Some remarkable properties of sinc and related integrals

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