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1705946 Vol 7 · Issue 12 Download Paper

Introduction of a New Parameter and Study of Coefficient Inequality in Class of Starlike Functions

Gurmeet Singh Chatinder Kaur

Subject area: Science,Engineering and Technology  ·  Area of research: Mathematics

Abstract

In the present paper we introduce a new class of starlike functions and find the Fekete ? Szeg? Inequality by using the concept of subordination for the analytic function f(z)=z+a2z2+a3z3+..., |z|<1 in the open unit disc. U=z:z?C; |z|<1 2000 Mathematical Subject Classification: 30C45, 30C50.

Keywords

Analytic Function, Bounded function, Fekete ? Szeg? Inequality, Starlike Function, Subordination, Univalent Function.

References

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[44] Singh ,G., Kaur, G., Coefficient Inequality For A New Subclass Of Starlike Functions, International Journal Of Research In Advent Technology, 5, (2017) ,

[45] Singh, G., Kaur, G., Fekete-Szegӧ Inequality For A New Subclass Of Starlike Functions, International Journal Of Research In Advent Technology, 5, (2017) ,

[46] Singh, G., Kaur, G., Fekete-Szegӧ Inequality For Subclass Of Analytic Function Based On Generalized Derivative, Aryabhatta Journal Of Mathematics And Informatics, 9 (2017),

[47] Singh, G., Kaur, G., Coefficient Inequality For a subclass of analytic function using subordination method with extremal function, Int. J. Of Advance Res. In Sci & Engg , 7 (2018)

[48] Singh, G., Kaur, G., Arif, M., Chinram R, Iqbal J, A study of third and fourth Hankel determinant problem for a particular class of bounded turning functions, Mathematical Problems in Engineering, 2021

[49] Singh, G. and Kaur, G., 4th Hankel determinant for α bounded turning function, Advances in Mathematics: Scientific Journal, 9 (12), 10563-10567

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[60] Singh, G., Singh, G., Singh, G., Upper bound on fourth Hankel determinant for certain subclass of multivalent functions, Jnanabha, 50 (2), 122-127, 2020

[61] Singh, G., Singh, G., Singh, G., Certain subclasses of univalent and biunivalent functions related to shell-like curves connected with Fibonacci numbers, General Mathematics, 28 (1), 125-140, 2020

[62] Singh, G., Singh, G., Singh, G., Certain subclasses of Sakaguchitype bi-univalent functions, Ganita, 69 (2), 45-55, 2019

[63] Singh, G., Singh, G., Singh, G., Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination, Abstract and Applied Analysis, 1, 1-6, 2019

[64] Singh, G., Singh, G., Singh, G., Fourth Hankel determinant for a subclass of analytic functions defined by generalized S˜al˜agean operator, Creat. Math. Inform., 31(2), 229-240, 2022

[65] Singh, G., Singh, G., Singh, G., Certain subclasses of multivalent functions defined with generalized Salagean operator and related to sigmoid function and lemniscate of Bernoulli, J. Frac. Calc. Appl, 13 (1), 65-81, 2022

[66] Singh, G., Singh, G., Singh, G., Estimate of Third and Fourth Hankel Determinants for Certain Subclasses of Analytic Functions., Southeast Asian Bulletin of Mathematics, 47 (3), 2023

[67] Srivastava H. M., G. Kaur, Singh. G, Estimates of fourth Hankel determinant for a class of analytic functions with bounded turnings involving cardioid domains, Journal of Nonlinear and Convex Analysis, 22 (3), 511-526, 2021

How to cite this paper

Gurmeet Singh, Chatinder Kaur "Introduction of a New Parameter and Study of Coefficient Inequality in Class of Starlike Functions" Iconic Research And Engineering Journals Volume 7 Issue 12 2024 Page 279-285
Gurmeet Singh, Chatinder Kaur "Introduction of a New Parameter and Study of Coefficient Inequality in Class of Starlike Functions" Iconic Research And Engineering Journals, vol. 7, no. 12, Jun. 2024
Gurmeet Singh, Chatinder Kaur (2024). Introduction of a New Parameter and Study of Coefficient Inequality in Class of Starlike Functions. Iconic Research And Engineering Journals, 7(12).
Gurmeet Singh, Chatinder Kaur "Introduction of a New Parameter and Study of Coefficient Inequality in Class of Starlike Functions" Iconic Research And Engineering Journals, vol. 7, no. 12, Jun. 2024.
@article{1705946,
      author = {Gurmeet Singh, Chatinder Kaur},
      title = {Introduction of a New Parameter and Study of Coefficient Inequality in Class of Starlike Functions},
      journal = {Iconic Research And Engineering Journals},
      year = {2024},
      volume = {7},
      number = {12},
      pages = {279-285},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1705946.pdf},
      abstract = {In the present paper we introduce a new class of starlike functions and find the Fekete ? Szeg? Inequality by using the concept of subordination for the analytic function f(z)=z+a2z2+a3z3+..., |z|<1 in the open unit disc.  U=z:z?C; |z|<1 2000 Mathematical Subject Classification: 30C45, 30C50.
},
      keywords = {Analytic Function, Bounded function, Fekete ? Szeg? Inequality, Starlike Function, Subordination, Univalent Function.},
      month = {June},
  }