On Certain Subclasses of Univalent Functions Associated with Wright Function

  • Saurabh Porwal
  • Bala Mishrab Indu
  • Magesh Nanjundan
Keywords: Analytic function, univalent function, convex and starlike functions, Wright function

Abstract

The main object of this paper is to obtain some necessary and sufficient condition for normalized Wright function on certain subclasses of univalent functions. We also consider an integral operator associated with normalized Wright function.

Author Biographies

Saurabh Porwal
Department of Mathematics, Ram Sahai Government Degree College, Bairi-Shivrajpur, Kanpur-209205, (U.P.)
Bala Mishrab Indu
Department of Mathematics, Janta College, Bakewar, Etawah- 206 124, (U.P)
Magesh Nanjundan
Post-Graduate and Research Department of Mathematics, Govt Arts College (Men), Krishnagiri - 635 001, Tamilnadu

References

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Robertson, M. S. (1936). On the theory of univalent functions. Ann. Math. 37(2), 374–408.
S. Maharana, J. K. Prajapat and D. Bansal (2018). Geometric properties of Wright function. Math. Bohem. 143(1), 99– 111.
Silverman, H. (1975). Univalent functions with negative coefficients. Proc. Amer. Math. Soc. 51(1), 109–116.
Wright, E. M. (1933). On the coefficients of power series having exponential singularities. J. Lond. Math. Soc. 8(1), 71–79.
Published
2022-03-12
How to Cite
Porwal, S., Indu, B. M., & Nanjundan, M. (2022). On Certain Subclasses of Univalent Functions Associated with Wright Function. Theory and Applications of Mathematics & Computer Science, 12(1), 13-20. Retrieved from https://www.uav.ro/applications/se/journal/index.php/TAMCS/article/view/199