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Integral transform involving Bessel’s function

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

N. U. Khan Tarannum Kashmin

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.

Keywords

Bessel function Appell’s function

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

N. U. Khan Tarannum Kashmin

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

Tarannum Kashmin

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.
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