Special values of the Lommel functions and associated integrals

2019/01/05 by Bernard J. Laurenzi, Laurenzi, Bernard J.
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical Physics (math-ph) #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1901.03384

openalex publication_date 2019/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Special values of the Lommel functions allow the calculation of Fresnel like integrals. These closed form expressions along with their asymptotic values are reported.

Related

• Fresnel Integral Computation Techniques
• A Note on Integrals Containing the Univariate Lommel Function
• Integral representations and zeros of the Lommel function and the hypergeometric ₁F₂ function
• Series Expansion of Generalized Fresnel Integrals
• Fourier Transform of some irrational integrands