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Research Profile: 

Research Interests:

  • Functions of Single Complex Variables

  • Geometric Function Theory

  • Special Functions

  • Planar Harmonic Mappings

Reviewer:

  • Mathematical Reviews (Published by American Mathematical Society)

  • Banach Journal of Mathematical Analysis, Springer

  • Journal of Function Spaces 

  • Annals of Functional Analysis 

  • Journal of Advanced Engineering and Computation (JAEC)

  • Advances and Applications in Mathematical Sciences

  • Theory and Applications of Mathematics & Computer Science

Ph. D. Thesis Title:

Geometric Properties and Characterizations of Univalent Functions and Planar Harmonic Mappings 

Research Publications: (Published & Accepted Papers- 18)

  1. (with D. Bansal, R. K. Raina & N. E. Cho) On characterization properties of certain hypergeometric function in the open unit disk, Journal of Inequalities and Applications, 2022, 164 (2022). DOI: 10.1186/s13660-022-02902-0

  2. (with D. Bansal) Coefficient estimates for the family of starlike and convex functions of reciprocal order, Afrika Matematika, 33, 25 (2022). DOI: 10.1007/s13370-022-00959-0 

  3. (with S. K. Sahoo) Planar harmonic mappings in a family of functions convex in one direction, Filomat, 35(2) (2021), 431 – 445. DOI: 10.2298/FIL2102431M 

  4. (with J. K. Prajapat & D. Bansal) Coefficient bounds for inverse of functions convex in one direction, Honam Mathematical Journal, 42(4) (2020), 781 – 794. DOI: 10.5831/HMJ.2020.42.4.781  

  5. (with S. K. Sahoo) Inclusion properties of planar harmonic mappings associated with the Wright function, Complex Variables and Elliptic Equations, 66(10) (2021), 1619–1641. DOI: 10.1080/17476933.2020.1772765 

  6. (with J. K. Prajapat & M. Manivannan) Harmonic mappings with analytic part convex in one direction, The Journal of Analysis, 28 (2020), 961– 972. DOI: 10.1007/s41478-020-00226-0 

  7. (with S. Kanas & J. K. Prajapat) Norm of the pre-Schwarzian derivative, Bloch’s constant and coefficient bounds in some classes of harmonic mappings, J. Math. Anal. Appl., 474(2) (2019), 931 – 943. DOI: 10.1016/j.jmaa.2019.01.080 

  8. (with J. K. Prajapat & D. Bansal) Radius of starlikeness and Hardy space of Mittag-Leffler functions, Filomat, 32(18) (2018), 6475 – 6486. DOI: 10.2298/FIL1818475P 

  9. (with B. K. Chinhara & P. Gochhayat) On certain harmonic mappings with some fixed coefficients, Monatsh. Math., 190 (2) (2019), 261 – 280. DOI: 10.1007/s00605-018-1228-1  

  10. (with B. K. Chinhara & P. Gochhayat) A subclass of harmonic univalent mappings with a restricted analytic part, Comm. Korean Math. Soc., 34(3) (2019), 841 – 854. DOI: 10.4134/CKMS.c180272 

  11. (with J. K. Prajapat) Pre-Schwarzian norm estimate for functions convex in one direction, Electronic J. Math. Anal. Appl., 7(2) (2019), 198 – 204.

  12. (with J. K. Prajapat & D. Bansal) Geometric properties of Wright function, Math. Bohem., 143(1) (2018), 99 – 111. DOI: 10.21136/MB.2017.0077-16 

  13. (with D. Bansal) Sufficient condition for strongly starlikeness of normalized Mittag-Leffler function, J. Complex Anal., 2017, Art. ID 6564705, 4 pp. DOI: 10.1155/2017/6564705

  14. (with J. K. Prajapat & D. Bansal) Bounds on third Hankel determinant for certain classes of analytic functions, Stud. Univ. BabeÈ™-Bolyai Math., 62(2) (2017), 183 – 195. DOI: 10.24193/subbmath.2017.2.05

  15. (with  J. K. Prajapat & H. M. Srivastava) The radius of convexity of partial sums of convex functions in one direction, Proc. Nat. Acad. Sci. India Sect. A Phys. Sci., 87(2) (2017), 215 – 219. DOI: 10.1007/s40010-017-0348-7

  16. (with D. Bansal & J. K. Prajapat) Coefficient bounds for inverse of certain univalent functions, Bull. Math. Anal. Appl., 8(3) (2016), 59 – 65. 

  17. (with A. K. Mishra & J. K.  Prajapat) Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points, Cogent Math., 3 (2016), Art. ID 1160557, 9 pp. DOI: 10.1080/23311835.2016.1160557s

  18. (with D. Bansal & J. K. Prajapat) Third order Hankel determinant for certain univalent functions, J. Korean Math. Soc., 52(6) (2015), 1139 – 1148. DOI: 10.4134/JKMS.2015.52.6.1139     

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