A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation

A two-dimensional integral containing Sx is derived. Sx is the Fresnel integral function, and the double integral is taken over the range 0<x<∞ and  0<y<∞. A representation in terms of the Hurwitz–Lerch zeta function is derived, from which other special function representations can be ev...

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Bibliographic Details
Main Authors: Robert Reynolds, Allan Stauffer
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/7044988
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