# Logarithmic derivative of the Euler Γ function in Clifford analysis.

Guy Laville; Louis Randriamihamison

Revista Matemática Iberoamericana (2005)

- Volume: 21, Issue: 3, page 695-728
- ISSN: 0213-2230

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topLaville, Guy, and Randriamihamison, Louis. "Logarithmic derivative of the Euler Γ function in Clifford analysis.." Revista Matemática Iberoamericana 21.3 (2005): 695-728. <http://eudml.org/doc/41947>.

@article{Laville2005,

abstract = {The logarithmic derivative of the Γ-function, namely the ψ-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ψ-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ζR(2), ζR(3). We get also the Riemann zeta function and the Epstein zeta functions.},

author = {Laville, Guy, Randriamihamison, Louis},

journal = {Revista Matemática Iberoamericana},

keywords = {Funciones especiales; Función gamma; Función zeta; Algebras de Clifford; Clifford analysis; special functions; Gamma function; Zeta function},

language = {eng},

number = {3},

pages = {695-728},

title = {Logarithmic derivative of the Euler Γ function in Clifford analysis.},

url = {http://eudml.org/doc/41947},

volume = {21},

year = {2005},

}

TY - JOUR

AU - Laville, Guy

AU - Randriamihamison, Louis

TI - Logarithmic derivative of the Euler Γ function in Clifford analysis.

JO - Revista Matemática Iberoamericana

PY - 2005

VL - 21

IS - 3

SP - 695

EP - 728

AB - The logarithmic derivative of the Γ-function, namely the ψ-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ψ-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ζR(2), ζR(3). We get also the Riemann zeta function and the Epstein zeta functions.

LA - eng

KW - Funciones especiales; Función gamma; Función zeta; Algebras de Clifford; Clifford analysis; special functions; Gamma function; Zeta function

UR - http://eudml.org/doc/41947

ER -