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Volume :36 Issue : 2 2009
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Generalized erdelyi-kober fractional q-integral operator
Auther : LEDA GALU´
Centro de Investigacion de Matematica Aplicada (CIMA). Facultad de Ingenieria Universidad del Zulia. Email: lgalue@hotmail.com. Apartado de Correo 10482. Maracaibo, Venezuela .
ABSTRACT
In this paper a generalized Erdelyi-Kober fractional q-integral operator is defined, some rules of composition for these operators are presented and it is applied to the basic analogue of the H-function. Various particular cases are obtained and results given by Saxena et al. can be derived from our results.
Keywords: Basic analogue of the special functions; basic analogue of the H-function; elementary q-functions; fractional q-integral operator; q-integral; rules of composition.
MSC 2000: 33D60, 33D90, 26A33.