The Krätzel function and evaluation of integrals

  • Authors:

  • Anatoly A. Kilbas;Luis Rodríguez-Germá;Megumi Saigo;R. K. Saxena;J. J. Trujillo

  • Affiliations:

  • Department of Mathematics and Mechanics, Belarusian State University, 220030 Minsk, Belarus;Universidad de La Laguna, Departamento de Análisis Matemático, 38271 La Laguna, Tenerife, Spain;Department of Applied Mathematics, Fukuoka University, 814-0180 Fukuoka, Japan;Department of Mathematics and Statistics, Jai Narain Vyas University, 342011 Jodhpur, India;Universidad de La Laguna, Departamento de Análisis Matemático, 38271 La Laguna, Tenerife, Spain

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

This paper is devoted to the study of the special function Z"@r^@n(z) of z@?C with two parameters @r@?R and @n@?C. In a special case such a function coincides with the McDonald function. Using the representations of Z"@r^@n(z) in terms of the H-function, being different for @r0 and @r