Integral representations for products of Airy functions and their application for analysis of the Green’s function for a particle in a uniform static field
DOI10.1088/1751-8121/ad0b59MaRDI QIDQ6148243
Publication date: 11 January 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Polynomials in real and complex fields: factorization (12D05) Path integrals in quantum mechanics (81S40) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Motion of charged particles (78A35) Electro- and magnetostatics (78A30) Products, amalgamated products, and other kinds of limits and colimits (08B25) Analytic continuation of functions of one complex variable (30B40) Green's functions for elliptic equations (35J08)
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Cites Work
- Integrals involving products of Airy functions, their derivatives and Bessel functions
- Integral representations for products of Airy functions. II: Cubic products
- Integral representations for products of Airy functions. III: Quartic products
- An integral representation for the product of Airy functions
- Integral representations for products of Airy functions
- Fractional derivatives of products of Airy functions
- Macdonald's identities and integral representations of products of Airy functions
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