Treffer: Triple Dirichlet average and fractional Derivative: Triple Dirichlet average and fractional derivative

Title:
Triple Dirichlet average and fractional Derivative: Triple Dirichlet average and fractional derivative
Authors:
Yogendra Deora, P. Banerji
Source:
Revista Técnica de la Facultad de Ingeniería, Vol 16, Iss 2 (2011)
Publisher Information:
Universidad del Zulia, Facultad de Ingeniería, Maracaibo, 2011.
Publication Year:
2011
Subject Terms:
Dirichlet average, Other hypergeometric functions and integrals in several variables, fractional derivatives, Fractional derivatives and integrals, T1-995, TA1-2040, Engineering (General). Civil engineering (General), Technology (General), Dirichlet averages
Document Type:
Fachzeitschrift Article
File Description:
application/xml
ISSN:
0254-0770
Access URL:
https://zbmath.org/579753
https://doaj.org/article/b6661ba24af64a0db35722d0fc323be4
Accession Number:
edsair.dedup.wf.002..a2d1155f09bd3f2b5c782bbf57690631
Database:
OpenAIRE

Weitere Informationen

\textit{B. C. Carlson} [Special functions of applied mathematics (1977; Zbl 0394.33001)] has obtained the Dirichlet averages of elementary functions \(x^ t,e^ t,\dots\) with respect to a Dirichlet measure which turns out nearly all special functions. Recently, \textit{S. C. Gupta} and the reviewer [J. Indian Acad. Math. 12, 103-115 (1990; Zbl 0722.33010); Ganita Sandesh 5, No. 1, 47-53 (1991)] have shown that this approach (single and double) is equivalent to fractional derivatives which can be transformed to hypergeometric functions and Appell functions. In the present paper this study is extended for triple averages.