Research Article
BibTex RIS Cite

Integral transform involving Bessel’s function

Year 2017, Volume: 5 Issue: 2, 168 - 172, 30.03.2017

Abstract

The main object of this paper is to obtain an integral transform involving Bessel’s function into Appell’s function, which
generalize a well known class of hypergeometric function of some Kampe’ de Fe’riet, Srivastava function F(3), Appell’s function F2,
F4  and Horn function H3. A number of known and new transformations are also discussed as the special cases of our main result.

References

  • Bailey, W. N. The generating function of Jacobi polynomials, J. London Math. Soc,13 (1938), 8-12.
  • Erdelyi, A. Table of Integral Transforms, Vol.I, McGraw-Hill, New York, (1954).
  • Erdelyi, A. Table of Integral Transforms, Vol.II, McGraw-Hill, New York, (1954).
  • Prudnikov, A. P. Integrals and Series, Vol. 3, More special functions, Gordon and Breach Science Publishers, New York,(1990).
  • Srivastav, H. M, Karlsson, P. W. Multiple Gaussian hypergeometric series, Halsted Press (Ellis Horwood Limited, Chichester),John Wiley and sons, New York, Chichester Brisbane, Toronto (1985).
  • Srivastava, H. M, Manocha, H.L. A Treatise on generating functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and sons, New York,(1984).
Year 2017, Volume: 5 Issue: 2, 168 - 172, 30.03.2017

Abstract

References

  • Bailey, W. N. The generating function of Jacobi polynomials, J. London Math. Soc,13 (1938), 8-12.
  • Erdelyi, A. Table of Integral Transforms, Vol.I, McGraw-Hill, New York, (1954).
  • Erdelyi, A. Table of Integral Transforms, Vol.II, McGraw-Hill, New York, (1954).
  • Prudnikov, A. P. Integrals and Series, Vol. 3, More special functions, Gordon and Breach Science Publishers, New York,(1990).
  • Srivastav, H. M, Karlsson, P. W. Multiple Gaussian hypergeometric series, Halsted Press (Ellis Horwood Limited, Chichester),John Wiley and sons, New York, Chichester Brisbane, Toronto (1985).
  • Srivastava, H. M, Manocha, H.L. A Treatise on generating functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and sons, New York,(1984).
There are 6 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

N. U. Khan This is me

Tarannum Kashmin This is me

Publication Date March 30, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Khan, N. U., & Kashmin, T. (2017). Integral transform involving Bessel’s function. New Trends in Mathematical Sciences, 5(2), 168-172.
AMA Khan NU, Kashmin T. Integral transform involving Bessel’s function. New Trends in Mathematical Sciences. March 2017;5(2):168-172.
Chicago Khan, N. U., and Tarannum Kashmin. “Integral Transform Involving Bessel’s Function”. New Trends in Mathematical Sciences 5, no. 2 (March 2017): 168-72.
EndNote Khan NU, Kashmin T (March 1, 2017) Integral transform involving Bessel’s function. New Trends in Mathematical Sciences 5 2 168–172.
IEEE N. U. Khan and T. Kashmin, “Integral transform involving Bessel’s function”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 168–172, 2017.
ISNAD Khan, N. U. - Kashmin, Tarannum. “Integral Transform Involving Bessel’s Function”. New Trends in Mathematical Sciences 5/2 (March 2017), 168-172.
JAMA Khan NU, Kashmin T. Integral transform involving Bessel’s function. New Trends in Mathematical Sciences. 2017;5:168–172.
MLA Khan, N. U. and Tarannum Kashmin. “Integral Transform Involving Bessel’s Function”. New Trends in Mathematical Sciences, vol. 5, no. 2, 2017, pp. 168-72.
Vancouver Khan NU, Kashmin T. Integral transform involving Bessel’s function. New Trends in Mathematical Sciences. 2017;5(2):168-72.