Ms. Eureka Pattnayak

Ms. Eureka Pattnayak

Designation: Research Scholar

Year of Admission: 2022

Mentor: Prof. Trailokya Panigrahi

Fellowship availed from: Sc & Tech Department, Govt. Of Odisha

Phone No.:

E-mail ID:

Complex Analysis

Specialising in Geometric Function Theory, I have authored multiple publications in peer-reviewed international journals. My academic background includes delivering lectures and tutorials for B.Sc. and M.Sc. students, with a core focus on Complex Analysis, Functional Analysis, Number Theory and Linear Algebra.

  1. Panigrahi, T., Murugusundaramoorthy, G. and Pattnayak, E. (2023). Coefficient Bounds for a Family of Analytic Functions Linked with a Petal-Shaped Domain and Applications to Borel Distribution. Sahand Commun. Math. Anal. 33-50. DOI: 10.22130/scma. 2022.557374.1143.
  2. Breaz, D., Panigrahi, T., El-Deeb, S., Pattnayak, E. and Sivasubramanian, S. (2024). Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain. Symmetry. 16. 183. 10.3390/sym16020183.
  3. Panigrahi, T., Pattnayak, E. and El-Ashwah, R. (2024). Estimate on logarithmic coefficients of Kamali-type starlike functions associated with a four-leaf-shaped domain, Math. Appl., 19, 41–55.
  4. Panigrahi, T., Pattnayak, E. and El-Ashwah, R. (2024). Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain. Ukrains’kyi Matematychnyi Zhurnal. 74. 525-532. 10.3842/umzh.v74i4.7335.
  5. Panigrahi, T., Pattnayak, E. and El-Ashwah, R. (2025). Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials. Mathematica Bohemica. 151. 1-15. 10.21136/MB.2025.0149-24.
  6. Panigrahi, T. and Pattnayak, E. (2025). Bounds of Coefficient Functional of Certain Subclasses of Analytic Functions Associated with Cardioid Domain. Turkish Journal of Mathematics and Computer Science. 17. 167-183. DOI: 10.47000/tjmcs.1588402.
  7. Panigrahi, T. and Pattnayak, E. (2025). Some Properties of Harmonic Univalent Functions Using q-Calculus and Error Function. South East Asian J. of Mathematics and Mathematical Sciences. Vol. 21, No. 3 (2025), pp. 33-46. DOI: 10.56827/SEAJMMS.2025.2103.3.
  8. Pattnayak, E., Panigrahi, T.  and  El-Ashwah, R. (2026). Some properties of subclasses of spiral-like functions involving the beta-negative binomial distribution. Ukrains’kyi Matematychnyi Zhurnal. 78. 211. https://doi.org/10.3842/umzh.v78i3-4.9343

  1. Qualified IIT JAM for M.Sc. in Mathematics (2019).
  2. Post Graduate Scholarship Scheme in Science, Mathematics and Biotechnology (2019-2021)
  3. Best Paper Presentation award (Ph.D. Scholars) at F.M University, Balesore
  4. Qualified CSIR NET Ph.D.