Research Article

Integral transform involving Bessel’s function

Volume: 5 Number: 2 March 30, 2017
  • N. U. Khan *
  • Tarannum Kashmin
EN

Integral transform involving Bessel’s function

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

References

  1. Bailey, W. N. The generating function of Jacobi polynomials, J. London Math. Soc,13 (1938), 8-12.
  2. Erdelyi, A. Table of Integral Transforms, Vol.I, McGraw-Hill, New York, (1954).
  3. Erdelyi, A. Table of Integral Transforms, Vol.II, McGraw-Hill, New York, (1954).
  4. Prudnikov, A. P. Integrals and Series, Vol. 3, More special functions, Gordon and Breach Science Publishers, New York,(1990).
  5. 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).
  6. Srivastava, H. M, Manocha, H.L. A Treatise on generating functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and sons, New York,(1984).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

N. U. Khan * This is me
India

Tarannum Kashmin This is me
India

Publication Date

March 30, 2017

Submission Date

December 29, 2015

Acceptance Date

December 8, 2016

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Khan, N. U., & Kashmin, T. (2017). Integral transform involving Bessel’s function. New Trends in Mathematical Sciences, 5(2), 168-172. https://izlik.org/JA63XX55FJ
AMA
1.Khan NU, Kashmin T. Integral transform involving Bessel’s function. New Trends in Mathematical Sciences. 2017;5(2):168-172. https://izlik.org/JA63XX55FJ
Chicago
Khan, N. U., and Tarannum Kashmin. 2017. “Integral Transform Involving Bessel’s Function”. New Trends in Mathematical Sciences 5 (2): 168-72. https://izlik.org/JA63XX55FJ.
EndNote
Khan NU, Kashmin T (March 1, 2017) Integral transform involving Bessel’s function. New Trends in Mathematical Sciences 5 2 168–172.
IEEE
[1]N. U. Khan and T. Kashmin, “Integral transform involving Bessel’s function”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 168–172, Mar. 2017, [Online]. Available: https://izlik.org/JA63XX55FJ
ISNAD
Khan, N. U. - Kashmin, Tarannum. “Integral Transform Involving Bessel’s Function”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 168-172. https://izlik.org/JA63XX55FJ.
JAMA
1.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, Mar. 2017, pp. 168-72, https://izlik.org/JA63XX55FJ.
Vancouver
1.N. U. Khan, Tarannum Kashmin. Integral transform involving Bessel’s function. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):168-72. Available from: https://izlik.org/JA63XX55FJ