Geodesic
A Transformation Connecting Products of Generalised Basic Hypergeometric Functions
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 241-248

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

DOI

Darling [2] in 1932 gave two types (equations 11 and 18) of transformations connecting generalised hyper geometric functions. The first was studied by Bailey [1] and extended by Sears [4] to a transformation connecting products of basic hyper geometric functions of the type r+1φr × r+1φr. In a number of papers [6, 7, 8] the author has extended these results to both unilateral and bilateral series with bases q and q1/2. The second type of transformation by Darling for a product 0F1 × 3F2 was extended by Bailey [1] to a transformation between 1F0 × r+1Fr. In the same paper Bailey mentioned the transformation of a 0φ1 × 3φ2 without proof. 
Verma, Arun. A Transformation Connecting Products of Generalised Basic Hypergeometric Functions. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 241-248. doi: 10.4153/CMB-1968-028-1
@article{10_4153_CMB_1968_028_1,
     author = {Verma, Arun},
     title = {A {Transformation} {Connecting} {Products} of {Generalised} {Basic} {Hypergeometric} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {241--248},
     year = {1968},
     volume = {11},
     number = {2},
     doi = {10.4153/CMB-1968-028-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-028-1/}
}
TY  - JOUR
AU  - Verma, Arun
TI  - A Transformation Connecting Products of Generalised Basic Hypergeometric Functions
JO  - Canadian mathematical bulletin
PY  - 1968
SP  - 241
EP  - 248
VL  - 11
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-028-1/
DO  - 10.4153/CMB-1968-028-1
ID  - 10_4153_CMB_1968_028_1
ER  - 
%0 Journal Article
%A Verma, Arun
%T A Transformation Connecting Products of Generalised Basic Hypergeometric Functions
%J Canadian mathematical bulletin
%D 1968
%P 241-248
%V 11
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-028-1/
%R 10.4153/CMB-1968-028-1
%F 10_4153_CMB_1968_028_1

Cité par Sources :