Geodesic
A Generalised Kummer-Type Transformation for the pFp (x) Hypergeometric Function
Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 571-578

Voir la notice de l'article provenant de la source Cambridge

DOI

In a recent paper, Miller derived a Kummer-type transformation for the generalised hypergeometric function $_{p}{{F}_{p}}(x)$ when pairs of parameters differ by unity, by means of a reduction formula for a certain Kampé de Fériet function. An alternative and simpler derivation of this transformation is obtained here by application of the well-known Kummer transformation for the confluent hypergeometric function corresponding to $p\,=\,1$
DOI : 10.4153/CMB-2011-095-6
Mots-clés : 33C15, 33C20, generalised hypergeometric series, Kummer transformation 
Miller, A. R.; Paris, R. B. A Generalised Kummer-Type Transformation for the pFp (x) Hypergeometric Function. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 571-578. doi: 10.4153/CMB-2011-095-6
@article{10_4153_CMB_2011_095_6,
     author = {Miller, A. R. and Paris, R. B.},
     title = {A {Generalised} {Kummer-Type} {Transformation} for the {pFp} (x) {Hypergeometric} {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {571--578},
     year = {2012},
     volume = {55},
     number = {3},
     doi = {10.4153/CMB-2011-095-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-095-6/}
}
TY  - JOUR
AU  - Miller, A. R.
AU  - Paris, R. B.
TI  - A Generalised Kummer-Type Transformation for the pFp (x) Hypergeometric Function
JO  - Canadian mathematical bulletin
PY  - 2012
SP  - 571
EP  - 578
VL  - 55
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-095-6/
DO  - 10.4153/CMB-2011-095-6
ID  - 10_4153_CMB_2011_095_6
ER  - 
%0 Journal Article
%A Miller, A. R.
%A Paris, R. B.
%T A Generalised Kummer-Type Transformation for the pFp (x) Hypergeometric Function
%J Canadian mathematical bulletin
%D 2012
%P 571-578
%V 55
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-095-6/
%R 10.4153/CMB-2011-095-6
%F 10_4153_CMB_2011_095_6

Cité par Sources :