...

  • 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 49 | Number 1 | Year 2017 | Article Id. IJMTT-V49P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P510

Finite integral involving the spheroidal function, a class of polynomials multivariable I-functions and Fresnel integral


F.Y.Ayant
Abstract

In the present paper we evaluate a generalized finite integral involving the product of the spheroidal function,the Fresnel integral, the multivariable Ifunctions defined by Prasad [3] and general class of polynomials of several variables with general arguments. The importance of the result established in this paper lies in the fact they involve the I-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.

Keywords
Multivariable I-function, general class of polynomials, spheroidal function, multivariable H-function.
References

[1]Abramowitz M and Stegun I.A. Handbook of Mathematical Functions ,1964.
[2] Brychkow Y.A. Handbook of Special Functions. Derivatives. Integrals, Series and Other Formulas. CRC. Press. Taykor and Francis Group. Boca. Raton. London. New York. 2008.
[3] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[4] Rhodes D.R. On the spheroidal functions. J. Res. Nat. Bur. Standards. Sect. B 74(1970), page187-209.
[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] 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.
[7] Stratton J.A. And Chu L.J. Elliptic and spheroidal wave function J. Math. And Phys. 20 (1941), page 259-309.

Citation :

F.Y.Ayant, "Finite integral involving the spheroidal function, a class of polynomials multivariable I-functions and Fresnel integral," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 1, pp. 84-92, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P510

  • 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