Karp, D. B.López García, José Luis2019-10-252019-10-2520181311-172810.12732/ijam.v31i5.1https://academica-e.unavarra.es/handle/2454/35278In this paper we investigate the Meijer G-function G p+1,p+1 p,1 which, for certain parameter values, represents the Riemann-Liouville fractional integral of the Meijer-Nørlund function G p,p. p,0 The properties of this function play an important role in extending the multiple Erdélyi-Kober fractional integral operator to arbitrary values of the parameters which is investigated in a separate work, in Fract. Calc. Appl. Anal., Vol. 21, No 5 (2018). Our results for G p+1,p+1 p,1 include: a regularization formula for overlapping poles, a connection formula with the Meijer-Nørlund function, asymptotic formulas around the origin and unity, formulas for the moments, a hypergeometric transform and a sign stabilization theorem for growing parameters.16 p.application/pdfeng© 2018 Academic PublicationsFractional calculus operatorsGeneralized hypergeometric functionIntegral representationMeijer's G-functioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess