Department of Mathematics Publications

Dr. Sarika Verma

  • S. Verma, S. Gupta, S. Singh, Bounds of Hankel Determinant for a class of univalent functions. Int. J. of Mathematics and Mathematical Sci., Volume 2012, 1-10, 2012. http://dx.doi.org/10.1155/2012/147842

 

 

 

 

 

 

 

  • D. Thomas, S. Verma, On the Second Hankel Determinant of some Analytic Functions. Journal of Quality Measurement and Analysis. 11(2), 11-16, 2015. http://journalarticle.ukm.my/9732/

 

 

 

 

Dr. Raj Garg

 

  • Kumar and Jay M Jahangiri, Close-to-convexity of Convolutions of Classes of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences (Accepted) 2018.
  • Kumar, M. Dorff, S. Gupta, S. Singh, Convolution Properties of some harmonic mappings in the right-half plane. Bulletin of The Malaysian Mathematical Sciences Society, 39(1), 439-455, 2016. http://link.springer.com/article/10.1007%2Fs40840-015-0184-3.
  • Kumar, S. Gupta, S, Singh, Linear combinations of univalent harmonic mappings convex in the direction of the imaginary axis. Bulletin of The Malaysian Mathematical Sciences Society 39(2), 751-763, 2016. http://link.springer.com/article/10.1007%2Fs40840-015-0190-5
  • Kumar, S. Gupta, S. Singh, M. Dorff, An application of Cohn's rule to the convolutions of univalent harmonic functions. Rocky Mountain Journal of Mathematics 46(2), 559-570,2016. https://projecteuclid.org/euclid.rmjm/1428419355.
  • Kumar, S. Gupta, S. Singh, M. Dorff, On harmonic convolutions involving a vertical strip mapping. Bulletin of The Korean Mathematical Society, 52(1), 105-123, 2015. http://portal.koreascience.kr/article/articleresultdetail.jsp?no=E1BMAX_2015_v52n1_105.
  • Kumar, S. Gupta, S. Singh Convolution properties of a slanted right half-plane mapping. Matematicki Vesnik, 65(2),  213-221, 2013. http://www.emis.de/journals/MV/132/8.html.
  • Kumar, S. Gupta, S. Singh, A class of univalent harmonic functions defined by multiplier transformation.Revue roumaine de mathematiques pures et appliqués, 57(4),  371-382, 2012.  http://imar.ro/journals/Revue_Mathematique/volumes.html
  • Kumar, S. Gupta, S. Singh, Convolution properties of convex harmonic functions. International journal of open problems in complex analysis, 4(3), 69-77, 2012.  http://www.journals4free.com/link.jsp?l=13502325

 

 

Dr. Shelly Garg

 

  • Alexander J. Diesl, Thomas J. Dorsey, Shelly Garg, Dinesh Khurana, A note on completeness and strongly clean rings. Journal of Pure and Applied Algebra, 218, 661-665, 2014. doi:10.1016/j.jpaa.2013.08.006
  • Shelly Garg, Harpreet K. Grover, Dinesh Khurana, Perspective Rings, Journal of Algebra,415, 1-12, 2014. doi:10.1016/j.jalgebra.2013.09.055

 

 

Dr. Ajay Kumar

  • Kumar and C. Kumar, “Alexander duals of Multipermutohedron Ideals”, Proc. Indian Acad. Sci. (Math. Sci.), ( , .
  • Kumar and C. Kumar, “Certain variants of Multipermutohedron Ideals”, Proc. Indian Acad. Sci. (Math. Sci.), ( , .
  • Kumar and C. Kumar, “Some integer sequences and standard monomials”, Ganita, 67 (
  • Kumar and C. Kumar, “An integer sequence and standard monomials”, Journal of Algebra and its Applications, (  pages). https://doi.org/10.1142/S0219498818500378
  • Kumar and C. Kumar, “Monomial ideals induced by permutations avoiding patterns”, Proc. Indian Acad. Sci. (Math. Sci.), (accepted on th January

 

Dr. Suraj Goyal

 

  • K. Tomar and Suraj Goyal (2013). Elastic waves in swelling porous media, Transport in porous media, 100(1), 39--68. Publisher- Springer,Country- Netherlands.
  • Suraj Goyal and S.K. Tomar (2013). Rayleigh waves in a swelling porous half-space, ACOUSTICS 2013 NEW DELHI, pp-829-834, November 10-15, 2013, New Delhi, India.

Organizer and Publisher: CSIR-National Physical Laboratory (NPL), Acoustical Society of India (ASI) and the French Acoustical Society (SFA)

  • Suraj Goyal and S.K. Tomar (2015). Reflection and Transmission of Inhomogeneous Waves at the Plane Interface between two Dissimilar Swelling Porous Half-Spaces, Special Topics & Reviews in Porous Media: An International Journal}, 6(1), 51--69. Publisher- Begel House Inc., Country-
  • Suraj Goyal and S.K. Tomar (2015). Reflection/Refraction of a Dilatational Wave at a Plane Interface Between Uniform Elastic and Swelling Porous Half-Spaces, Transport in porous media, 109(3), 609--632. Publisher- Springer,Country- Netherlands.
  • Suraj Goyal, Dilbag Singh and S.K. Tomar (2016). Rayleigh-Type surface waves in a swelling porous half-space, Transport in porous media, 113(1), 91--109. Publisher- Springer,Country- Netherlands.

 

 

Dr. Himani Arora

  • J R. Sharma, H.Arora, Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations, International Journal of Computer Mathematics, 95, 920-938, 2018.
  • R. Sharma, H.Arora, Some novel optimal eighth order derivative-free root solvers and their basins of attraction, Applied Mathematics and Computation, 284, 149-161, 2016.
  • R. Sharma, H.Arora, Efficient derivative-free numerical methods for solving systems of nonlinear equations, Computational and Applied Mathematics, 35, 269-284, 2016.
  • R. Sharma, H.Arora, A new family of optimal eighth order methods with dynamics for nonlinear equations, Applied Mathematics and Computation, 273, 924-933, 2016.
  • R. Sharma, H.Arora, An efficient family of weighted-Newton methods with optimal eighth order convergence, Applied Mathematics Letters, 29, 1-6, 2014.
  • R. Sharma, H.Arora, Efficient Jarratt-like methods for solving systems of nonlinear equations, CALCOLO, 51, 193-210, 2014.
  • R. Sharma, H.Arora, A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations, Numerical Algorithms, 67, 917-933, 2014.
  • R. Sharma, H.Arora, M.S. Petkovic, An efficient derivative free family of fourth order methods for solving systems of nonlinear equations, Applied Mathematics and Computation, 235, 383-393, 2014.
  • R. Sharma, H.Arora, An efficient derivative free iterative method for solving systems of nonlinear equations, Applicable Analysis and Discrete Mathematics, 7, 390-403, 2013.
  • R. Sharma, H.Arora, On efficient weighted-Newton methods for solving systems of nonlinear equations,
  • Applied Mathematics and Computation, 222, 497-506, 2013.
  • R. Sharma, H.Arora, Improved Newton-like methods for solving systems of nonlinear equations, SeMA Journal, 74, 147-163, 2017.
  • R. Sharma, H.Arora, A simple yet efficient derivative free family of seventh order methods for systems of nonlinear equations, SeMA Journal, 73, 59-75, 2017.
  • R. Sharma, H.Arora, Some efficient two-point iterative methods with memory for solving nonlinear equations, Journal of Combinatorics, Information & System Sciences, 38, 163-181, 2013.

 

 

Dr. Deepak Grover

 

  • D. Grover and R. K. Seth (2018) “Viscothermoelastic Micro-Scale Beam Resonators Based On Dual-Phase Lagging ModelMicrosystem Technologies 24 1667-1672.
  • D. Grover (2015)“Damping in thin circular viscothermoelastic plate resonators”Canadian Journal of Physics93 1597-1605.
  • Grover (2013) “Transverse vibrations in micro-scale viscothermoelastic beam resonators” Archive of Applied Mechanics 83 303-314.
  • J. N. Sharma, D. Grover and A. L. Sangal (2013) “Viscothermoelastic Waves- A Statistical Study”Journal of Vibration and Control19(8),1216-1226.
  • Grover (2012) “Viscothermoelastic vibrations in micro-scale beam resonators with linearly varying thickness” Canadian Journal of Physics90 487-496.
  • Grover, Virendra Kumar and Dinkar Sharma (2012) “A Comparative study of numerical techniques and homotopy perturbation method for solving parabolic equation and non-linear equations”. International Journal for Computational Methods in Engineering & Mechanics13, 403-407.
  • D. Grover and J. N. Sharma (2012) Transverse Vibrations in Piezothermoelastic Beam ResonatorsJournal of Intelligent Material System and Structure 23, 77-84.
  • J. N. Sharma and D. Grover (2012)Thermoelastic Vibration Analysis of Mems/Nems Plate Resonators with Voids”Acta Mechanica 223,167-187.
  • Varun, Naveen Sharma, I.K. Bhat and D. Grover (2011) “Optimization of a smooth flat plate solar air heater using stochastic iterative perturbation technique” Solar Energy 85 2331-2337.
  • J. N. Sharma and D. Grover (2011) “Thermoelastic vibration in micro-/nano-scale beam resonators with voids”.Journal of Sound and Vibration 330, 2964-2977.
  • J. N. Sharma, D. Grover and D. Kaur (2011) “Mathematical modelling and analysis of bulk waves in rotating generalized thermoelastic media with voids”. Applied Mathematical Modelling35, 3396-3407.
  • N. Sharma, D. Grover and A. L. Sangal (2010) “Mathematical modelling of waves in rotating transversely isotropic thermoelastic media”.International Journal of Applied Mathematics and Mechanics 6, 78-103.
  • N. Sharma and D. Grover (2009) “Body wave Propagation in rotating thermoelastic media”. Mechanics Research Communications36, 715-721.

 

Mr. Avtar Chand

 

Avtar Chand, R.K. Mishra, Phase Transition in Cosmology with Magnetic Field, AIP Conference Proceedings1675, 030104 (2015); doi: 10.1063/1.4929320

  • Avtar Chand, R.K. Mishra, Dark Energy Cosmological Models in Brans-Dicke Theory of Gravity, IJETMAS, 3, 36 (2015)
  • Avtar Chand, R.K. Mishra and Anirudh Pradhan, FRW Cosmological Models in Brans-Dicke Theory of Gravity with Variable q and Dynamical -Term, Space Sci., 361, 81 (1-12) (2016)
  • K. Mishra, Avtar Chand and Anirudh Pradhan, Dark Energy Models in Theory with Variable Deceleration Parameter, Int. J. Theor. Phys. 55, 1241 (2016)
  • K. Mishra, Avtar Chand, Cosmological Models in Alternative Theory of Gravity with Bilinear Deceleration Parameter, Astrophys Space Sci., 361(8) (2016)
  • Avtar Chand,K. Mishra, Bianchi-III Cosmological Models in Saez-Ballester Theory of Gravity with Bilinear q, Journal of International Acd. Physical Sci. 20(40) 257 (2016)
  • K. Mishra, Avtar Chand, String Cosmological Models with Modified Theory of Gravity under Magnetic Field, Journal of Computational Mathematics and Applied Mathematics, 2,1-10 (2017)
  • K. Mishra, Avtar Chand, A Comparative Study of Cosmological Models in Alternative Theory of Gravity with LVDP & BVDP, Astrophys. Space Sci.,362 (140) 1-11 (2017)
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