TY - JOUR
T1 - Koshliakov kernel and identities involving the Riemann zeta function
AU - Dixit, Atul
AU - Robles, Nicolas
AU - Roy, Arindam
AU - Zaharescu, Alexandru
N1 - Funding Information:
The authors thank the referee for his/her valuable comments. The first author is funded in part by the grant NSF-DMS 1112656 of Professor Victor H. Moll of Tulane University and sincerely thanks him for the support. The second author wishes to acknowledge partial support of SNF grant 200020_149150\1 .
Publisher Copyright:
© 2015 .
PY - 2016
Y1 - 2016
N2 - Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions Jz(x), Yz(x) and Kz(x) are studied. Interesting special cases of these identities are derived, one of which is connected to a well-known transformation due to Ramanujan, and Guinand.
AB - Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions Jz(x), Yz(x) and Kz(x) are studied. Interesting special cases of these identities are derived, one of which is connected to a well-known transformation due to Ramanujan, and Guinand.
KW - Bessel functions
KW - Hurwitz zeta function
KW - Koshliakov
KW - Riemann zeta function
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U2 - 10.1016/j.jmaa.2015.11.007
DO - 10.1016/j.jmaa.2015.11.007
M3 - Article
AN - SCOPUS:84960840320
SN - 0022-247X
VL - 435
SP - 1107
EP - 1128
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -