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
- 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).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
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