[1] | O.P. Singh and R.N. Pandey "Generalized Polynomial Set", Bull. Inst. Math. Acad. Sinica 9, 1981, 75-92. |
[2] | O.P Singh and R.N. Pandey "On a generating function for the generalized Polynomial set", Bull. Math. Soc. Sci. Math. R.S. Roumanie (N.S.) 25 No.73, 1981, 171-177. |
[3] | R.S. Pathak and O.P. Singh, "Finite Hankel Transform of Distribution", Pacific J. Math., Vol. 99, No. 2, 1982, pp. 439-458. |
[4] | O.P. Singh and R.S. Pathak, "Analytic Representation of the Distributional Hankel Transform", International J. Math. & Math. Sci., Vol. 8, No. 2, 1985, pp. 325-344. |
[5] | O.P. Singh, "On distributional Hankel Transform.", Applicable Analysis, Vol. 21, 1986, pp. 245-260. |
[6] | O.P. Singh, "The Distributional Hankel Transform, Its Inversion and Application", Applicable Analysis, Vol. 32, 1989, pp. 87-106. |
[7] | O.P. Singh and J.N. Pandey, "The n-Dimensional Hilbert Transform of Distributions, Its Inversion and Applications", Canadian J. Math., Vol. XLII, No. 2, 1990, pp. 239-258. |
[8] | J.N. Pandey and O.P. Singh, "On the p-norm of Truncated n-Dimensional Hilbert Transform", Bull. Austral. Math. Soc., Vol. 43, 1991, pp. 241-250. |
[9] | O.P. Singh and J.N. Pandey, "The Fourier-Bessel Series Representation of the Pseudo-Differential Operator (-x-1 D)n", Proc. Amer. Math. Soc., Vol. 115, No. 4, 1992, pp. 969-976. |
[10] | O.P. Singh, "Some remarks on Distributional Hankel transforms, Generalized functions and their applications" published by Plenum Publishing Corp., 1993, pp. 235-239. |
[11] | J.N. Pandey and O.P. Singh, "Characterization of function with Fourier transform supported on Orthants (II), Generalized functions and their applications, published Plenum Publishing Corp., 1993, pp. 167-173. |
[12] | J.N. Pandey and O.P. Singh, "Characterization of Functions with Fourier Transform supported on Orthants", J. Math. Anal. Appl., Vol. 185, No. 2, 1994, pp. 438-463.13. |
[13] | O.P. Singh, "On the Pseudo-Differential Operator (-x-1 D)n, J. Math. Anal.Appl., Vol. 191, No. 2, 1995, pp. 450-459. |
[14] | O. P. Singh, "A Class of Pseudo-Differential Operators Associated with Hankel transforms", Analysis and Applications, Allied Publishers Pvt. Ltd., 2004. |
[15] | V. K. Singh, O. P. Singh, R. K. Pandey, Numerical evaluation of Hankel transforms by using linear Legendre multi-wavelets, Computer Physics Communications 179 (2008) 424-429. (Impact Factor 1.842, as of 2007). |
[16] | R. K. Pandey, O. P. Singh, V. K. Singh, An efficient algorithm for computing zero-order Hankel transforms, Applied Mathematical Sciences. Vol. 2, no 60, (2008) 2991-3000. |
[17] | V. K. Singh, O. P. Singh, R. K. Pandey, Efficient algorithms to compute Hankel transform using wavelets, Computer Physics Communications 179 (11) (2008) 812-818). (Impact Factor 1.842, as of 2007). |
[18] | R. K. Pandey, V. K. Singh, O. P. Singh, An improved method for computing Hankel transform, Journal of the Franklin Institute. (In Press) doi:10.1016/j.jfranklin.2008.07.002 (Impact Factor .441 as of 2007). |
[19] | V. K. Singh, R. K. Pandey, O. P. Singh, New stable numerical solutions of singular integral equations of Abel type by using normalized Bernstein polynomials, Applied Mathematical-Sciences. Vol. 3 No. 5 (2009)441-455 |
[20] | R. K. Pandey, O. P. Singh, V.K. Singh, Efficient algorithms to solve singular integral equations of Abel type, Computer and Mathematics with applications 57 (2009) pp.664-676.(Impact Factor 0.720). |
[21] | R.K. Pandey, O. P. Singh, V. K. Singh, D. Singh, Numerical evaluation of Hankel transforms using Haar wavelets, International Journal of Computer Mathematics(Impact Factor 0.423) . (ACCEPTED) |
[22] | O. P. Singh, R.K.Pandey, V. K. Singh, An analytic algorithm for Lane-Emden equations arising in Astrophysics using MHAM, Computer Physics Communications (Impact Factor 1.842. as of 2007) DOI: 10.1016/j.cpc.2009.01.012 |
[23] | O. P. Singh, V. K. Singh, R.K.Pandey, A New Stable Algorithm for Abel inversion Using Bernstein Polynomials , International Journal of Nonlinear Sciences and Numerical Simulation (Impact Factor 5.099. as of 2007). (Accepted) |
[24] | A. K. Singh, V. K. Singh , O. P. Singh, Bernstein operational matrix of integration, Applied Mathematical Sciences, Vol. 3, 2009, no. 49, 2427-2436. |
[25] | R. K. Pandey, O. P. Singh, V.K. Singh, Numerical solution of system of Volterra integral equations using Bernstein polynomials, International Journal of Nonlinear Sciences and Numerical Simulation, 10(7), 891-895, 2009 (Impact Factor 5.099 ) |
[26] | R. K. Pandey, O. P. Singh, V. K. Singh., Numerical evaluation of Hankel transforms using wavelet series, Numerical Algorithms, DOI: 10.1007/S11o75-009-9313-0. |
[27] | O. P. Singh, V. K. Singh, R. K. Pandey, New stable numerical inversion of Abel's integral equation using almost Bernstein operational matrix, Journal of Quantitative Spectroscopy and Radiative Transfer, 111 (2010) 245-252 (Impact Factor 1.972 as of 2007). |
[28] | V. K. Singh, R. K. Pandey, O. P. Singh, A Stable Algorithm for Hankel transforms using Hybrid of Block pulse and Legendre polynomials, Computer Physics Communications, 181 (2010) 1-10 (Impact Factor 2.2 ). |
[29] | R. K. Pandey, V. K. Singh, O. P. Singh, A New Stable Algorithm for Hankel transform using hybrid Block pulse and rationalized Haar functions, Integral Transform & Special Functions (Accepted –Oct 2009). |
[30] | O. P. Singh, V. K. Singh, R. K. Pandey, On numerical computation of Hankel transforms, Journal of Applied Mathematics and Informatics, (Accepted-Oct 2009). |
[31] | R. K. Pandey, V. K. Singh, O. P. Singh, A New Stable Algorithm for Hankel transform using Chebyshev Wavelets, Communications in Computational Physics(Impact Factor 2.8 ). (Accepted –Nov 2009). |
[32] | V. K. Singh, O. P. Singh, R. K. Pandey, Almost Bernstein operational matrix method for solving system of Volterra integral equations of convolution type, Nonlinear Science Letters A, Vol.1, No.2 , 201-206, 2010 |
[33] | Sunil Kumar, Om P. Singh, Generalized Abel inversion by homotopy perturbation method, Z. Naturforsch A (Accepted) |
[34] | Sandeep Dixit, Vineet K. Singh, Amit K. Singh, Om P. Singh, Bernstein direct method for solving variational problems, International Mathematical forum, (Accepted). |
[35] | O.P. Singh and J.N. Pandey, "The n-dimensional Hilbert transform of distributions", Prog. Of Math. Vol. 24(1&2) 1990, pp. 95-105. |
[36] | O.P .Singh, "The n-Dimensional Distributional Hankel Transform of Complex Order", Vikram Math. J., Vol. 21, 2001, pp.78-88. |
[37] | O.P. Singh, "A Distributional Cauchy Problem", Vikram Math. J., Vol. 22, 2002, . pp. 13-22 . |
[38] | O.P. Singh, " The Fourier-Hermite Series Representation of The Psuedo-Differential Operator (-x-1 D)n, Varahmihir J. Math. Sci., Vol. 3, No.2, 2003, 233-245. |
[39] | O. P. Singh, " Orthogonal Expansions of Certain Pseudo-Differential Operator", International J. Math. Sci., Vol.3 No.1, June 2004, pp. 131-144. |
[40] | O.P. Singh, "Partial Differential equations for Classical Polynomials" J. Sci. Res. (BHU), Vol. 34(2), 1984, pp. 85-90. |