A quadruple integral involving the product of generalized parabolic cylinder functions 𝐷ᵥ(𝛽𝑥)𝐷ᵤ(𝛼𝑧): Derivation and evaluation

DOI10.1090/BPROC/126zbMath1492.30085OpenAlexW4223983977MaRDI QIDQ5072250

Allan Stauffer, Robert Reynolds

Publication date: 27 April 2022

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/bproc/126

zbMATH Keywords

Cauchy integralparabolic cylinder functionHurwitz-Lerch zeta function

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Other functions defined by series and integrals (33E20)

Uses Software

• DLMF

Cites Work

• A Nicholson-Type Integral for the Product of Two Parabolic Cylinder Functions D ν ( x ) D ν (− x ) AT ℜν≪0
• On Parabolic Cylinder Functions
• A Note on Integrals Involving Parabolic Cylinder Functions
• The Confluent Hypergeometric Function
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