A generalization of Bochner's formula
Kanemitsu, S ; Tanigawa, Y ; Tsukada, H
HAL, hal-01110916 / Harvested from HAL
Text on HAL
In this note we expound our general hierarchy theorems by the example of a Ramified-Type Functional Equarion H, which gives all possbile forms, in terms of se-ries with H-function coefficients, of the functional equation of higher hierarchy arising from the original ramified one satisfied by the Dirichlet series. Then by sepcifying the parameters, we shall deduce a few concrete examples scattered in the literature in the most natural way.
Publié le : 2004-07-04
Classification:  zeta-function,  generalised Hurwitz-Lerch zeta-function,  ramified-type functional equation,  Fox $H$-function,  Bochner's formula,  [MATH]Mathematics [math] 
@article{hal-01110916,
     author = {Kanemitsu, S and Tanigawa, Y and Tsukada, H},
     title = {A generalization of Bochner's formula},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01110916}
}

Kanemitsu, S; Tanigawa, Y; Tsukada, H. A generalization of Bochner's formula. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-01110916/