A Note on a Fourier Sine Transform
This is a compilation of definite integrals of the product of the hyperbolic cosecant function and polynomial raised to a general power. In this work, we used our contour integral method to derive a Fourier sine transform in terms of the Lerch function. Almost all Lerch functions have an asymmetrica...
Main Authors: | Robert Reynolds, Allan Stauffer |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-09-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/13/10/1828 |
Similar Items
-
Definite integrals involving product of logarithmic functions and logarithm of square root functions expressed in terms of special functions
by: Robert Reynolds, et al.
Published: (2020-07-01) -
Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al.
by: Robert Reynolds, et al.
Published: (2021-06-01) -
Definite integral of the logarithm hyperbolic secant function in terms of the Hurwitz zeta function
by: Robert Reynolds, et al.
Published: (2021-12-01) -
Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function
by: Robert Reynolds, et al.
Published: (2020-09-01) -
Table in Gradshteyn and Ryzhik: Derivation of Definite Integrals of a Hyperbolic Function
by: Robert Reynolds, et al.
Published: (2021-10-01)