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Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function
2013
Journal of Inequalities and Applications
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Many useful and interesting properties, identities, and relations for the Riemann zeta function ζ (s) and the Hurwitz zeta function ζ (s, a) have been developed. Here, we aim at giving certain (presumably) new and (potentially) useful relationships among polygamma functions, Riemann zeta function, and generalized zeta function by modifying Chen's method. We also present a double inequality approximating ζ (2r + 1) by a more rapidly convergent series. MSC: Primary 11M06; 33B15; secondary 40A05; 26D07
doi:10.1186/1029-242x-2013-75
fatcat:djvcutmxerevdolhi7dtqtcxf4