...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 39 | Number 3 | Year 2016 | Article Id. IJMTT-V39P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V39P522

A study of unified results involving a product of generalized Legendre's function, a general class of polynomials, Aleph-function with the multivariable I-function


Frédéric Ayant
Abstract

In this paper an integral involving general class of polynomials, Legendre's associated function, Aleph-function and I-function of several variables has been evaluated and an expansion formula for product of the general class of polynomials, Legendre's associated function, Aleph-function and Ifunction of several variables has been established with the application of this integral. The result established in this paper are of general nature and hence encompass several particular cases.

Keywords
Multivariable I-function, Aleph-function, Legendre's associated function, general class of polynomials, expansion formula,multivariable H-function
References

[1] Chaurasia V.B.L and Singh Y. New generalization of integral equations of fredholm type using Aleph-function Int. J. of Modern Math. Sci. 9(3), 2014, p 208-220.
[2] Meulendbeld, B. and Robin, L.; Nouveaux resultats aux functions de Legendre’s generalisees, Nederl. Akad.
Wetensch. Proc. Ser. A 64(1961), page 333-347 [3] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[4] 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.
[5] 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.
[6] 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 :

Frédéric Ayant, "A study of unified results involving a product of generalized Legendre's function, a general class of polynomials, Aleph-function with the multivariable I-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 39, no. 3, pp. 181-188, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V39P522

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved