Table 1
참고문헌
- E. T. Whittaker and G. N. Watson, A course of modern analysis , 4th edition, Cambridge Univ. Press, Cambridge, London, Now york, 1927.
- E. D. Rainville, Special Functions. Macmillan Company, New York, (1960); Reprinted by Chelsea Publ.co. Bronx, New York, 1971.
- H. M. Srivastava, and H. L. Manocha, A Treatise on Generating Functions. Chichester, New York; Ellis Horwood Limited, John Wiley and Sons, New York, 1984.
- H. M. Srivastava and P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1985.
- H. M. Srivastava and M. C. Daust, Certain generalized Neumann expansions associated with the Kampe de Feriet function, Nederl. Akad. Wetensh. Proc. Ser. A 72 = Indag Math. 31 (1969), 449-457 .
- H. M. Srivastava and M. C. Daust, A note on the convergence of Kampe de Feriet's double hypergeometric series, Math. Nachr. 53 (1972), 151-159. https://doi.org/10.1002/mana.19720530114
- J. Choi and P. Agarwal, Certain unified integrals associated with Bessel functions, Boundary value problems, 1 (2013), pp.95.
- J. Choi and P. Agarwal, Certain unified integrals involving a product of Bessel function of first kind, Honam Mathematical Journal, 35(4), (2013), 667-677. https://doi.org/10.5831/HMJ.2013.35.4.667
- J. Choi, P. Agarwal, S. Mathur, and S.D. Purohit, Certain new integral formulas involving the generalized Bessel functions, Bulletin of the Korean Mathematical Society 51(4) (2014), 995-1003 . https://doi.org/10.4134/BKMS.2014.51.4.995
- M. Ghayasuddin, N. U. Khan, and S. W. Khan, Some finite integrals involving the product of Bessel function with Jacobi and Laguerre polynomials , Communications of the Korean Mathematical Society, (2017), (Accepted).
- N. U. Khan, M. Ghayasuddin and T. Usman, On certain integral formulas involving the product of Bessel function and Jacobi polynomial, Tamkang Journal of Mathematics.,47(3) (2016), 151-153 .
- N. U. Khan, T. Usman and M. Ghayasuddin, A Unied double integral associated with Whittaker functions, Journal of Nonlinear Systems and Applications (2016) 21-24.
- N. U. Khan, T. Usman and M. Ghayasuddin, A new class of unified integrals formulas associated with whittaker functions, New Trends in Mathematical Sciences 4(1) (2016), 160-167. https://doi.org/10.20852/ntmsci.2016115851
- Prudnikov, A. P., Brychkov, Yu. A. and Marichev,O. I. Integral and Series V.3. More Special Functions, New York-London: Gordon and Breach, 1992.
- P. Agarwal, S. Jain, S. Agarwal, and M. Nagpal, On a new class of integrals involving Bessel functions of the first kind, Communications in Numerical Analalysis (2014), 1-7 .
- S. Ali, On some new unified integrals, Adv. Comput. Math. Appl., 1 (2012), 151-153.
- Saiful R. Mondal, A. Swaminathan, Geometric Properties of Generalized Bessel Functions, Bulletin of the Malaysian Mathematical Sciences Society (2) 35(1) (2012), 179-194.
- V. Adamchik, The Evaluation of Integrals of Bessel Functions via G-Function Identities, Journal of Computational and Applied Mathematics 64 (1995) 283-290. https://doi.org/10.1016/0377-0427(95)00153-0