Liouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negative integer n. It is shown that such ψ(n)(Z) can be represented in a closed form by means of the first derivatives of the Hurwitz Zeta function. Relations to the Barnes G-function and generalized Glaisher's constants are also discussed
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
We use integral identities to establish a relationship with sums that include polygamma functions, ...
In this article, we compute tables of values for the Riemann-Liouville fractional derivative of the ...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
Liouville's fractional integration is used to dene polygamma func-tions (n) (z) for negative in...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neut...
The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neut...
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 ...
The connection is considered between integrals and series involving polygamma ψ(z) and zeta ζ(z,s) f...
Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula...
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...
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
We use integral identities to establish a relationship with sums that include polygamma functions, ...
In this article, we compute tables of values for the Riemann-Liouville fractional derivative of the ...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
Liouville's fractional integration is used to dene polygamma func-tions (n) (z) for negative in...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neut...
The polygamma functions ψ(r)(x) are defined for all x>0 and r∈N. In this paper, the concepts of neut...
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 ...
The connection is considered between integrals and series involving polygamma ψ(z) and zeta ζ(z,s) f...
Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula...
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...
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
We use integral identities to establish a relationship with sums that include polygamma functions, ...
In this article, we compute tables of values for the Riemann-Liouville fractional derivative of the ...
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