Finite series relations involving the multivariable Aleph-function III

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V33P527

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 3 | Year 2016 | Article Id. IJMTT-V33P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P527

Finite series relations involving the multivariable Aleph-function III

Frédéric Ayant

Abstract

The aim of this document is to establish finite series relations for the multivariable Aleph-function. These relations are quite general in nature, from which a large number of new results can be obtained simply by specializing the parameters.

Keywords

Finite sum, Aleph-function of several variables , multivariable I-function, aleph-function of two variables,

References

[1] Carlitz L. A summation theorem for double hypergeometric series. Rend.Sem.Math.Univ.Padova. 37 (1967), p. 230- 233.
[2] Carlitz L. Theorem for double series. J.London.Math.Soc 38 (1963),p.415-418.
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] C.K. Sharma and P.L. mishra : On the I-function of two variables and its properties. Acta Ciencia Indica Math , 1991 Vol 17 page 667-672.
[5] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page1-13.

Citation :

Frédéric Ayant, "Finite series relations involving the multivariable Aleph-function III," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 3, pp. 193-200, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P527