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1705976 Vol 7 · Issue 12 Download Paper

A New Class of Bounded Analytic Function

Dr. Gurmeet Singh Misha Rani

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

Abstract

In this paper, we defined a new class of bounded analytic functions and explained Fekete ? Szeg? Inequality for the same.

Keywords

Bounded analytic functions, Fekete ? Szeg? Inequality, concept of subordination and Starlike functions.

References

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[31] Singh, G, Coefficient Inequality for Close to Starlike Functions Constructed Using Inverse Starlike Classes, Kaav Int. J. Of Sci. Eng. And Tech., 4 (2017), 177-182.

[32] Singh, G, Coeff. Inequality for a subclass of Starlike functions that is constructed using nth derivative of the functions in the class, Kaav Int. J. Of Sci. Eng. And Tech., 4 (2017), 199-202.

[33] Singh G., Fekete Szego Inequality For A Complicated Class Of Analytic Functions Approaching To A Class In The Limit Form And Other Class Directly, IJRES, 10 (9), 619-624, 2022

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[37] Singh G, Sharma N., Two new subclasses of already defined class of Analytic functions and establishment of their coefficient inequality, NeuroQuantology, 20 (10), 4967-4976, 2022

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[40] Singh G, Kaur C, Analytic functions subordinate to leaf-like domain, Advances in Mechanics, 10 (1), 1444-1448, 2022

[41] Singh G., Kaur C., Introduction of a new parameter and study of coefficiuent inequality in class of Starlike functions, 7(12), 279-285, 2024

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

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[49] 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

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

[51] Singh, G., Kaur, G., Fourth Hankel determinant for a new subclass of bounded turning functions, Jnanabha, 52 (1), 229-233, 2022 5rf vhtfvv

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[58] Singh, G., Singh, G., Singh, G., A subclass of bi-univalent functions defined by generalized Sãlãgean operator related to shell-like curves connected with Fibonacci numbers, International Journal of Mathematics and Mathematical Sciences, 2019

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

[62] 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

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

[64] 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

[65] 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

[66] 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

[67] 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

[68] 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

Dr. Gurmeet Singh, Misha Rani "A New Class of Bounded Analytic Function" Iconic Research And Engineering Journals Volume 7 Issue 12 2024 Page 439-444
Dr. Gurmeet Singh, Misha Rani "A New Class of Bounded Analytic Function" Iconic Research And Engineering Journals, vol. 7, no. 12, Jun. 2024
Dr. Gurmeet Singh, Misha Rani (2024). A New Class of Bounded Analytic Function. Iconic Research And Engineering Journals, 7(12).
Dr. Gurmeet Singh, Misha Rani "A New Class of Bounded Analytic Function" Iconic Research And Engineering Journals, vol. 7, no. 12, Jun. 2024.
@article{1705976,
      author = {Dr. Gurmeet Singh, Misha Rani},
      title = {A New Class of Bounded Analytic Function},
      journal = {Iconic Research And Engineering Journals},
      year = {2024},
      volume = {7},
      number = {12},
      pages = {439-444},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1705976.pdf},
      abstract = {In this paper, we defined a new class of bounded analytic functions and explained  Fekete ? Szeg? Inequality for the same.},
      keywords = {Bounded analytic functions,  Fekete ? Szeg? Inequality, concept of subordination and Starlike functions.},
      month = {June},
  }