Logarithmic derivative of the Euler R-function in Clifford analysis

• Autores: L. Randriamihamison, G. Laville
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 21, Nº 3, 2005, págs. 695-728
• Idioma: inglés
• Títulos paralelos:
  • Derivada logarítmica de la función R de Euler en análisis de Clifford.
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• Resumen

  • The logarithmic derivative of the ?-function, namely the ?-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 ?-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ?R(2), ?R(3). We get also the Riemann zeta function and the Epstein zeta functions.