A Certain Class of Analytic Functions Associated with Beta Negative Binomial Distribution Defined on Complex Hilbert Space
DOI:
https://doi.org/10.29304/jqcm.2023.15.1.1171Keywords:
Analytic function, Hilbert space, Extreme point, Beta negative binomial distribution, Radii of starlikeness and convexity.Abstract
In this work , we show and research a new class of univalent and analytic functions with negative coefficients linked to the beta negative binomial distribution on a complicated Hilbert space. We find fascinating geometric features such as the convex set, coefficient estimates, distortion and growth theorems, starlikeness and convexity radii, and describe the extreme points for functions in this class.
Downloads
Download data is not yet available.
References
[1] N. Dunford and J. T. Schwarz, Linear Operator, Part I, General Theory, New York - London, Inter Science, 1958.
[2] K. Fan, Analytic functions of a proper contraction, Math. Z., 160(1978), 275-290.
[3] K. Fan, Julia,s lemma for operators, Math. Ann., 239(1979), 241-245.
[4] F. Ghanim and M. Darus, On new subclass of analytic p-valent function with negative coefficients for operators on Hilbert space, Int. Math. Forum, 3(2)(2008), 69-77.
[5] S. B. Joshi, On a class of analytic functions with negative coefficients for operators on Hilbert Space, J. Appr. Theory and Appl., (1998), 107–112.
[6] Y. C. Kim and J. H. Choi, Some subclasses of analytic functions with negative coefficients for operators on Hilbert space, International Journal of Applied Mathematics, 32(4)(2019), 549-562.
[7] C. Selvaraj, A. J. Pamela and M. Thirucheran, On a subclass of multivalent analytic functions with negative coefficients for contraction operators on Hilbert space, Int. J. Contemp. Math. Sci., 4(9)(2009), 447-456.
[8] A. K. Wanas, A certain subclass of multivalent analytic functions with negative coefficients for operator on Hilbert space, J. Indones. Math. Soc., 21 (2)(2015), 77-82.
[9] A. K. Wanas and N. A. Al-Ziadi, Applications of Beta negative binomial distribution series on holomorphic functions, Earthline J. Math. Sci., 6(2)(2021), 271-292.
[10] A. K. Wanas, J. Choi and N. E. Cho, Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space, Asian-European Journal of Mathematics, 14(7)(2021), 1-14.
[11] A. K. Wanas and B. A. Frasin, Applications of fractional calculus for a certain subclass of multivalent analytic functions on complex Hilbert space, General Mathematics, 26(1-2)(2018), 11–23.
[12] A. K. Wanas and G. Murugusundaramoorthy, Higher-order derivatives of multivalent analytic functions defined on complex Hilbert space, J. Adv. Math. Stud., 14(2)(2021), 197-205.
[13] A. K. Wanas and S. R. Swamy, New family of multivalent analytic functions defined on complex Hilbert space, Earthline Journal of Mathematical Sciences, 3(1)(2020), 155-165.
[2] K. Fan, Analytic functions of a proper contraction, Math. Z., 160(1978), 275-290.
[3] K. Fan, Julia,s lemma for operators, Math. Ann., 239(1979), 241-245.
[4] F. Ghanim and M. Darus, On new subclass of analytic p-valent function with negative coefficients for operators on Hilbert space, Int. Math. Forum, 3(2)(2008), 69-77.
[5] S. B. Joshi, On a class of analytic functions with negative coefficients for operators on Hilbert Space, J. Appr. Theory and Appl., (1998), 107–112.
[6] Y. C. Kim and J. H. Choi, Some subclasses of analytic functions with negative coefficients for operators on Hilbert space, International Journal of Applied Mathematics, 32(4)(2019), 549-562.
[7] C. Selvaraj, A. J. Pamela and M. Thirucheran, On a subclass of multivalent analytic functions with negative coefficients for contraction operators on Hilbert space, Int. J. Contemp. Math. Sci., 4(9)(2009), 447-456.
[8] A. K. Wanas, A certain subclass of multivalent analytic functions with negative coefficients for operator on Hilbert space, J. Indones. Math. Soc., 21 (2)(2015), 77-82.
[9] A. K. Wanas and N. A. Al-Ziadi, Applications of Beta negative binomial distribution series on holomorphic functions, Earthline J. Math. Sci., 6(2)(2021), 271-292.
[10] A. K. Wanas, J. Choi and N. E. Cho, Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space, Asian-European Journal of Mathematics, 14(7)(2021), 1-14.
[11] A. K. Wanas and B. A. Frasin, Applications of fractional calculus for a certain subclass of multivalent analytic functions on complex Hilbert space, General Mathematics, 26(1-2)(2018), 11–23.
[12] A. K. Wanas and G. Murugusundaramoorthy, Higher-order derivatives of multivalent analytic functions defined on complex Hilbert space, J. Adv. Math. Stud., 14(2)(2021), 197-205.
[13] A. K. Wanas and S. R. Swamy, New family of multivalent analytic functions defined on complex Hilbert space, Earthline Journal of Mathematical Sciences, 3(1)(2020), 155-165.
Downloads
Published
2023-04-03
How to Cite
Hussein, D. A., & Lauibi, Y. M. (2023). A Certain Class of Analytic Functions Associated with Beta Negative Binomial Distribution Defined on Complex Hilbert Space. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(1), Math Page 92–100. https://doi.org/10.29304/jqcm.2023.15.1.1171
Issue
Section
Math Articles
