AbstractThe functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for derivatives of ζ(s,a) at negative odd s and rational a. For several of these rational arguments, closed-form expressions are given in terms of simpler transcendental functions, like the logarithm, the polygamma function, and the Riemann Zeta function
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
In this manuscript, the authors derive closed formula for definite integrals of combinations of powe...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
The functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for derivati...
AbstractThe functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for ...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
We address the problem of finding out the values of the Hurwitz zeta function at the positive intege...
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
Liouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negative intege...
AbstractHurwitz formula for the generalized zeta function ζ(s,a) has been established under conditio...
Using functional properties of the Hurwitz zeta function and symbolic deriva-tives of the trigonomet...
Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula...
The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hur...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
In this manuscript, the authors derive closed formula for definite integrals of combinations of powe...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
The functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for derivati...
AbstractThe functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for ...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
We address the problem of finding out the values of the Hurwitz zeta function at the positive intege...
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
Liouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negative intege...
AbstractHurwitz formula for the generalized zeta function ζ(s,a) has been established under conditio...
Using functional properties of the Hurwitz zeta function and symbolic deriva-tives of the trigonomet...
Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula...
The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hur...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
In this manuscript, the authors derive closed formula for definite integrals of combinations of powe...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
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