An expansion formula for the multivariable Aleph-function

F.Y Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V35P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 2 | Year 2016 | Article Id. IJMTT-V35P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P515

An expansion formula for the multivariable Aleph-function

F.Y Ayant

Citation :

F.Y Ayant, "An expansion formula for the multivariable Aleph-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 2, pp. 111-116, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P515

Abstract

The aim of the paper is to establish a general expansion formula for the Aleph-function of several variables. It is significant to observe that a large number of finite and infinite series for this function can be easily summed up by using the summation theorem for ordinary hypergeometric series in the main result. Also, by appropriately specializing the parameters of the multivariable Aleph-function, one can obtain expansion formulas for simpler special functions of one and several variables.

Keywords

Multivariable Aleph-function,Mellin-Barnes contour,generalized hypergeometric function,expansion formula, I-function of several variables, Aleph-function of two variables.

References

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