Exciting research articles, recognition in international forums, distinguished publications – here’s a look at some of the accomplishments of the Faculty members of the Department of Engineering Mathematics.

Publications:

  1. On Ramanujan's Eisenstein series identities ( Anusha T), Publications de l'Institut Mathématique, 111, 69-76,2022 (Scopus).
  2. On Ramanujan’s Incomplete Elliptic Integral Identities, Indian J. Pure Appl. Math., 51, No. 4 (2020), pp. 1797–1751. (SCI Expanded- Web of Science, Impact factor- 0.38).
  3. Level 28 analogues of Ramanujan’s type series fos).r 1/𝑢, accepted, 2020, Indian Journal of Mathematics (with K.R. Vasuki and T. Anusha) (Scopus)
  4. On Somos’s identities of level twenty one and its partition interpretations, Mathematick Vesnik, 72, No. 1 (2020), pp. 1–5, March 2020 (Scopus).
  5. Elliptic integrals and Ramanujan-type series for 1/𝑢 associated with 𝑇0(N ), where N is a product of two small primes (with K. R. Vasuki, T. Anusha and S. Cooper), J. Math. Anal. Appl.,472, Issue 2, 2019, pp. 1551–1570. (SCI- Scopus, Impact factor- 1.18).
  6. On some Eisenstein series identities associated with Borwein’s cubic theta functions, Indian J. Pure Appl. Math., 49, No. 4 (2018), pp. 698–703. (SCI Expanded- Web of Science, Impact factor- 0.38).
  7. "cases for 𝗒 also?, A question raised by Ramanujan" (with K R. vasuki), Int. J. Number Theory,15, No. 1 (2019), pp. 183–188 (SCI Expanded- Scopus, Impact factor- 0.70).
  8. On a Ramanujan’s Eisenstein series identity of level fifteen (with K. R. Vasuki), Proc. Math. Sci., 129, 57 (2019) (SCI Expanded- Web of Science, Impact factor 0.32) .
  9. On Ramanujan’s Modular equations of degree 21 and its related identities (with K. R. Vasuki and T. Anusha ),Indian J. Pure Appl. Math., 50, Issue 4, 2019, pp 1097–1105 (SCI Expanded- Web of Science, Impact factor- 0.38) .
  10. Ramanujan’s Eisenstein series of level 3 and 6, its application (with K. R. Vasuki and R. G. Veeresha), South East Asian J. Math. Math. Sci, 14, 01-18, 2018.
  11. On Ramanujan's Eisenstein series identities ( Anusha T), Publications de l'Institut Mathématique, 111, 69-76,2022

NPTEL Courses:

  1. Completed NPTEL Certification course on Essential of Mathematics for Machine Learning conducted by IIT-Roorkee with 61 % score in the year 2021.

Publications:

  1. Santhosh H.B, Mahesha, C.S.K. Raju, “Partial Slip Flow of Radiated Carreau Dusty Nanofluid Over Exponentially Stretching Sheet with Non-Uniform Heat Source or Sink,” Journal of  Nano fluid,  7(1) (2018) 72-81.(Scopus)
  2. Santhosh H.B, Mahesha, C.S.K. Raju, “Connective conditions and exponentially decaying heat source on MHD Carreau dusty fluid over stretching sheet filled with darcy porous” Research Journal of Science and Technology, 9(4)(2017), 505-510. (Scopus)
  3. Santhosh H.B, Mahesha, C.S.K. Raju, “Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux,” Nonlinear Engineering – Modeling and Application.( Scopus)
  4. Mahesha, Santhosh H.B, C.S.K. Raju, “Unsteady Carreau radiated Two-Phase flow in a deformation of graphene nanoparticles with heat generation and convective conditions,” Journal of nano fluid, Vol 7, 2018, pp 1-8. (Scopus)
  5. Santhosh H.B, Mahesha, C.S.K.Raju, “Carreau fluid over a radiated shrinking sheet in a suspension of dust and Titanium alloy nanoparticles with heat source,” Journal of Integrative Neuroscience. doi: 10.3233/JIN-180083 (Scopus)
  6. Santhosh H.B, Mahesha, C.S.K.Raju, “The flow of radiated Carreau dusty fluid over exponentially stretching sheet with partial slip at the wall,” Journal of Defect and diffusion forum. Vol 16. (2018) Pp 96-108.( Scopus)
  7. Santhosh H.B, Mahesha, C.S.K.Raju, “Comparative study on MHD Carreau fluid due to stretching/shrinking surface in a suspension of dust and graphene nano particles” Bionanoscience. https://doi.org/10.1007/s12668-019-00624-0 (Scopus)
  8. Santhosh H.B, M. Karunaprasad, C.S.K. Raju, Mahesha, “ Unsteady tangent hyperbolic fluid on radiated exponentially porous surface”, International Journal of Engineering and Advanced Technology. Vol 9, issue 1S5, Dec2019
  9. Rohit Sharma, C.S.K. Raju, Isaack L Animasun, Santhosh H B, Manoj K Mishra.  “Insight into significance of joule dissipation, thermal jump and partial slip: Dynamics of Unsteady Ethelene glycol conveying graphene nano particles through porous medium”, https://doi.org/10.1515/nleng-2021-0002 .

NPTEL Courses:

  1. Completed NPTEL Certification course on Basic Linear Algebra conducted by IIT-Bombay with 76 % score in the year 2020.
  2. Completed NPTEL Certification course on Essential of Mathematics for Machine Learning conducted by IIT-Roorkee with 60 % score in the year 2021.
Journal Publication:
  1. M. R. Rajesh kanna, D. Mamta and R.S. Indumathi(2017): “Computation of Topological Indices of Triglyceride” , Global Journal of Pure and Applied Mathematics, 13( 6) , 1631-1638.
  2.  R. Jagadeesh, M.R. Rajesh Kanna, D. Mamta, R. Pradeep Kumar(2016) : “Minimum Dominating Maximum Degree Energy of a Graph”, Journal of Computational and Theoretical Nanoscience, (13), 2850-2855, 
  3.  D.D.Somashekara and D. Mamta(2012): ” On the three variable Reciprocity Theorem and its Applications” ,The Australian Journal of Mathematical Analysis and Applications,  9 ( 1),  1-9. 
  4.  D.D. Somashekara and D. Mamta (2008): “On Some Identities of Ramanujan Found in his Lost Note Book” ,Advanced Studies in Contemporary Mathematics, 16 (2),   171-180
  5.  S. Bhargava, D.D. Somashekara, D. Mamta(2007): “ A New Convolution Identity Deducible From The Remarkable Formula Of Ramanujan” , Taiwanese Journal of M,athematics , 11(2), 399-406.
  6.  Jozsef Sandor, D.D. Somashekara and D. Mamta (2007): “ On Some Arithmetic and Real Variable Functions”, Octogen Mat. Mag, 15(1),  63-73
  7.  D. Mamta and D.D. Somashekara(2006): “ Interesting Generalizations of the Additive Analogues of the Euler Minimum and Maximum Functions”, South East Asian J.Math.Sc. 4(2) 27-32,
  8. D. Mamta and D.D. Somashekara(2006): “ On Some Continued Fraction Expansions For The Ratios of 2 psi2”, Far East J. Math. Sci. (FJMS) 23 (1), 65-80.

Journal Publications

  1. Shubha Nagaraj, Harsha S (2021):"A study on Packet loss simulating a network as a fluid" International Journal of Advanced Research in Engineering and Technology (IJARET), Volume 12, Issue 2, pp. 523-527
  2. Harsha S, Shubha Nagaraj (2020): “An analogy of a network to an elctrohydrodynamic fluid flow to analyze the energy required for transmitting a packet in a network susceptible to multiple failures” International Journal of Innovative Technology and Exploring Engineering (IJITEE), (9) 7.
  3. Shubha N, N. Rudraiah, K.W. Chow (2008): “Electrohydrodynamic stability of poorly conducting parallel fluid flow in the presence of transverse electric field”,  International Journal of Non-Linear mechanics (43), 643-649.

Conference Proceedings

  1. Rudraiah, N., Shubha, N., “Electrohydrodynamic Stability of Poorly  Conducting    Parallel Fluid Flows”, in the Proceedings of the International Symposium on “Recent Advances in Fluid Mechanics”, pp 287,  2004. 
  2.  Rudraiah, N., Shubha, N., “Electrohydrodynamic stability of poorly conducting  parallel viscous fluid flow”, in the Proceedings of the International Conference  on “Frontiers in Fluid Mechanics (ICFFM-06)” pp 806, 2005. 
  3. Shubha, N., “Electrohydrodynamic  Stability of Poorly conducting Plasma in  the presence of Strong Transverse Electric Field.” Proceedings of Third   International Conference on Super strong Fields in Plasmas, pp 564, 2005.
  4. Flow modeling over inclined rectangular weir;  A new approach. Proceeding of Hydro 2010.
Journal Publications  
  1. Graceful labeling of Digraphs-a survey, AKCE International Journal of Graphs and Combinatorics, 18(3), 143-147, 2021 (ESCI).
  2. A note on least nonresidue modulo prime p, Accepted for publication in Proceedings of Jangjeon Mathematical Society(Scopus).
  3. Shivarajkumar (2016): “Beyond Schur's Conjecture”, American Math. Monthly, (123), 66-70, (SCI).
  4. S M Hegde and Shivarajkumar(2016): “Further results on graceful digraphs”, International Journal of Applied and Computational Mathematics, (2), 315-325.
  5. S M Hegde and Shivarajkumar (2014): “On k-graceful digraphs”, Utitlitas Mathematica, (95), 161-173,  (SCI).
  6. S M Hegde and Shivarajkumar(2014): “On graceful unicyclic wheels”, ARS Combinatoria, (117), 47-64, (SCI).
  7. S M Hegde and Shivarajkumar(2013): “Two conjectures on graceful digraphs”, Graphs & Combinatorics,(29), 933-954 (SCI).
        Journal Publications:
        1. E. Sampathkumar, S. V. Roopa, K. A. Vidya and M. A. Sriraj(2020): “Partition energy of some trees and their generalized complelements” TWMS J. App. and Eng. Math., 10(2), 521-531.
        2. E. Sampathkumar, S. V. Roopa, K. A. Vidya and M. A. Sriraj, (2019): “Partition Laplacian energy of a graph” Palestinian Journal of Mathematics, 8(1), 272-284.
        3. E. Sampathkumar, S. V. Roopa, K. A. Vidya and M. A. Sriraj(2018): “Partition energy of complete product of circulant graphs and  some new class of graphs”, Advanced Studies in Contemporary Mathematics., 28(2), 269-283.
        4. S. V. Roopa, K. A. Vidya and M. A. Sriraj (2016): “Partition energy of Amalgamation of Complete graphs and their Generalized Complements”, Indian J. Discrete Mathematics., 2(1), 18-36.
        5. E. Sampathkumar, S. V. Roopa, K. A. Vidya and M. A. Sriraj(2015): “Partition Energy of a graph”, Proc.Jangjeon Math. Soc., 18(4), 473-493.
           
          • Conference Proceedings
          •   S. V. Roopa, K. A. Vidya, Partition energy of graphs constructed using Complete graph and Cycles. Proc. National Conference on Advances in Mechanical Engineering and Applied Sciences. Dayananda Sagar College of Engineering, Bengaluru, (AMEAS-2016), ISBN No: 978-93-84935-77-1.