Some Integral Representations of the pRq(α,β;z) Function
In this article, we determine the Fourier transform ( FT ) representation of p R q ( α , β ; z ) function which generates distributional representation. Further we use this representation to obtain the integral of products of two p R q ( α , β ; z ) functions by employing the Parseval’s identity of...
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Veröffentlicht in: | International journal of applied and computational mathematics 2020, Vol.6 (3) |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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Zusammenfassung: | In this article, we determine the Fourier transform (
FT
) representation of
p
R
q
(
α
,
β
;
z
)
function which generates distributional representation. Further we use this representation to obtain the integral of products of two
p
R
q
(
α
,
β
;
z
)
functions by employing the Parseval’s identity of Fourier transform. We also set up some new integral representations of
q
+
1
R
q
(
·
)
function which have some particular cases in the light of Konhauser polynomial and Laguerre polynomial. |
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ISSN: | 2349-5103 2199-5796 |
DOI: | 10.1007/s40819-020-00808-3 |