Earthline Journal of Mathematical Sciences <p style="text-align: justify;">The Earthline Journal of Mathematical Sciences (e-ISSN: 2581-8147) is a peer-reviewed international journal devoted to publishing original research papers containing substantial contributions in any direction of Pure and Applied Mathematics, Theoretical and Applied Statistics, Theoretical Computer Science, Mathematical Physics, Mathematical Chemistry, Mathematical Modelling, Mathematical Biology. Applications of Mathematics in Finance and Economics are also welcome.</p> en-US <p><img src=""><br>This work is licensed under a&nbsp;<a href="" rel="license">Creative Commons Attribution 4.0 International License</a>.</p> (Fabiola Malowney) (K. Jhansi Rani) OJS 60 Coefficient Estimates for Certain Subclasses of m-Fold Symmetric Bi-univalent Functions Associated with Pseudo-Starlike Functions <p>In the present investigation, we introduce the subclasses $\varLambda_{\Sigma}^{m}(\eta,\leftthreetimes,\phi)$ and $\varLambda_{\Sigma}^{m}(\eta,\leftthreetimes,\delta)$ of \textit{m}-fold symmetric bi-univalent function class $\Sigma_m$, which are associated with the pseudo-starlike functions and defined in the open unit disk $\mathbb{U}$. Moreover, we obtain estimates on the initial coefficients $|b_{m+1}|$ and $|b_{2m+1}|$ for the functions belong to these subclasses and identified correlations with some of the earlier known classes.</p> Timilehin G. Shaba, Amol B. Patil Copyright (c) Sun, 07 Mar 2021 15:42:07 +0000 Special Subfamilies of Holomorphic and Bi-univalent Functions related to Quasi-subordination <p>In the current work, special subfamilies of holomorphic bi-univalent functions based on quasi-subordination are introduced. Initial coefficient estimates for functions belonging to these subfamilies are established. Several consequences of our results and connections to known families are indicated.</p> S. R. Swamy, Y. Sailaja Copyright (c) Thu, 11 Mar 2021 00:00:00 +0000 Coupled Anti Q-Fuzzy Subgroups using t-Conorms <p>In this paper we study coupled anti <em>Q</em>-fuzzy subgroups of <em>G</em> with respect to <em>t</em>-conorm <em>C</em>. We also discuss the union, normal and direct product of them. Moreover, the homomorphic image and pre-image of them is investigated under group homomorphisms and anti homomorphisms.</p> Clement Boateng Ampadu Copyright (c) Sat, 13 Mar 2021 00:00:00 +0000 On the Recurrence Properties of Generalized Tribonacci Sequence <p>In this paper, we investigate the recurrence properties of the generalized Tribonacci sequence and present how the generalized Tribonacci sequence at negative indices can be expressed by the sequence itself at positive indices.</p> Yüksel Soykan Copyright (c) Wed, 17 Mar 2021 00:00:00 +0000 Applications of Beta Negative Binomial Distribution Series on Holomorphic Functions <p>The purpose of this article is to derive the necessary and sufficient conditions for the power series 〖P℘〗_(ℷ,γ)^μ (t)&nbsp;whose coefficients are probabilities of the beta negative binomial distribution to be in the family F(σ,τ,ϵ,η,μ,ℷ,γ) of holomorphic functions which are defined in the open unit disk. We establish a number of important geometric properties, such as, coefficient estimates, extreme points, neighborhood property, integral representation, radii of starlikeness and convexity and Hadamard product properties for functions belongs to this family. Also we determinate some differential subordination properties of the power series 〖P℘〗_(ℷ,γ)^μ (t).</p> Abbas Kareem Wanas, Najah Ali Jiben Al-Ziadi Copyright (c) Tue, 23 Mar 2021 00:00:00 +0000 Third Hankel Determinant Problem for Certain Subclasses of Analytic Functions Associated with Nephroid Domain <p>In this research article we consider two well known subclasses of starlike and bounded turning functions associated with nephroid domain. Our aims to find third Hankel determinant for these classes.</p> Muhammad Ghaffar Khan, Bakhtiar Ahmad, Wali Khan Mashwani, Timilehin Gideon Shaba, Muhammad Arif Copyright (c) Fri, 09 Apr 2021 00:00:00 +0000