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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 1 | Year 2016 | Article Id. IJMTT-V33P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P508

Fourier series involving certain products of generalized class of polynomials, Alephfunction and the multivariable Aleph-function


F.Y. Ayant
Abstract

The aim of the present document is to establish some finite integrals and Fourier serie expansion for the products of class of polynomials, Alephfunction and multivariable Aleph-function. The results established in this paper are of general nature and hence encompass several particular cases.

Keywords
Multivariable Aleph-function, Aleph-function, Fourier serie, general class of polynomials
References

[1] Chaurasia V.B.L and Singh Y. New generalization of integral equations of fredholm type using the Aleph-function Int. J. of Modern Math. Sci. 9(3), 2014, p 208-220.
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[3]Luke Y.L. The special functions and approximations. Acad. Press. New York and London (1969)
[4] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[5] Sharma C.K.and mishra P.L. On the I-function of two variables and its properties. Acta Ciencia Indica Math , 1991 Vol 17 page 667-672.
[6] 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 ) , page 1-13.
[7] 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.
[8] Srivastava H.M. And Garg M. Some integral involving a general class of polynomials and multivariable H-function. Rev. Roumaine Phys. 32(1987), page 685-692.
[9] H.M. Srivastava And R.Panda. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137.
[10] Südland N.; Baumann, B. and Nonnenmacher T.F. , Open problem : who knows about the Aleph-functions? Fract. Calc. Appl. Anal., 1(4) (1998): 401-402.

Citation :

F.Y. Ayant, "Fourier series involving certain products of generalized class of polynomials, Alephfunction and the multivariable Aleph-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 1, pp. 42-53, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P508

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