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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 2 | Year 2016 | Article Id. IJMTT-V33P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P513

Euler type triple integrals involving, general class of polynomials and multivariable Aleph-function II


F.Y. Ayant
Abstract

The aim of the present document is to evaluate three triple Euler type integrals involving general class of polynomials, special functions and multivariable Aleph-function. Importance of our findings lies in the fact that they involve the multivariable Aleph-function, which are the sufficiently general in nature and are capable of yielding a large number of simpler and useful results merely by specializing the parameters in them. Further we establish some special cases.

Keywords
Aleph-function of several variables, triple Euler type integrals, special function, general class of polynomials.
References

[1] Erdelyi, A., Higher Transcendental function, McGraw-Hill, New York, Vol 1 (1953).
[2] Exton, H, Handbook of hypergeometric integrals, Ellis Horwood Ltd, Chichester (1978)
[3] Garg O.P., Kumar V. and Shakeeluddin : Some Euler triple integrals involving general class of polynomials and multivariable H-function. Acta. Ciencia. Indica. Math. 34(2008), no 4, page 1697-1702.
[4] C.K. Sharma and S.S.Ahmad : On the multivariable I-function. Acta ciencia Indica Math , 1992 vol 19, page 113- 116
[5] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[6] Srivastava H.M., Gupta K.C. and Goyal S.P., the H-function of one and two variables with applications, South Asian Publications, NewDelhi (1982).
[7] Vyas V.M. and Rathie K., An integral involving hypergeometric function. The mathematics education 31(1997) page33

Citation :

F.Y. Ayant, "Euler type triple integrals involving, general class of polynomials and multivariable Aleph-function II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 2, pp. 95-103, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P513

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