International Journal of Theoretical and Mathematical Physics

International Journal of Theoretical and Mathematical Physics is a peer-reviewed journal, publishing papers on all areas in which theoretical physics and mathematics interact with each other. It features the reports on current developments in theoretical physics as well as related mathematical problems.


Om Singh

Editorial Board Member of International Journal of Theoretical and Mathematical Physics

Professor, Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, India

Research Areas

Distribution Theory, Pseudo-differential Operators, Wavelets

Education

Ph.D.Banaras Hindu University
A.M.University Of Pennsylvania (U.S.A.)
M.Sc.Banaras Hindu University

Experience

1989Visited Carleton University, Ottawa, Canada, as a Visiting Scientist
1977-1980Worked at University of British Columbia, Vancouver, Canada
1975-1977Graduate student at University of Pennsylvania, Philadelphia, USA

Publications: Conferences/Workshops/Symposiums/Journals/Books

[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.