Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
https://webbut.unitbv.ro/index.php/Series_III
<h1 class="page_title">Aim</h1> <p style="margin: 0cm; margin-bottom: .0001pt; text-align: justify;"><span style="font-size: 10.5pt; font-family: 'Segoe UI','sans-serif';">Bulletin of the Transilvania University of Braşov. Series III: Mathematics and Computer Science publishes high-quality original research papers and survey articles in areas of pure and applied mathematics in informatics and physics. All the papers will be refereed.</span></p> <p style="margin: 0cm; margin-bottom: .0001pt; text-align: justify;"><span style="font-size: 10.5pt; font-family: 'Segoe UI','sans-serif';">The Journal is indexed in Zentralblatt MATH (<a href="https://zbmath.org/serials/?q=bulletin+of+transilvania+of+brasov">http://www.zentralblatt-math.org</a>), from 2008, Mathematical Reviews (<a href="http://www.ams.org/publications/math-reviews/math-reviews">http://www.ams.org/publications/math-reviews/math-reviews</a>), SCOPUS (<a href="https://www.scopus.com/sourceid/21101070236?origin=resultslist">http://www.scopus.com/</a>), from 2011, EBSCO Publishing DataBase (<a href="http://webbut.unitbv.ro/public/site/documents/admin/a9h-subject.xls">http://www.ebscohost.com/titleLists/a9h-subject.xls</a>), from 2008, Crossref (<a href="https://search.crossref.org/?q=Bulletin+of+the+Transilvania+University+of+Brasov+Series+III+Mathematics+and+Computer+Science+&from_ui=yes">https://search.crossref.org</a>), from January 2019 and is accredited by the Romanian <em>National Council</em> of <em>Scientific Research</em> (<em>CNCS</em>) in the <a href="https://uefiscdi.gov.ro/userfiles/file/IC6%202011/Reviste%20romanesti%20recunoscute%20de%20CNCSIS-%20categoria%20B_plus.pdf" target="_blank" rel="noopener">category B+</a> of the scientific magazine.</span></p> <p style="margin: 0cm; margin-bottom: .0001pt; text-align: justify; background: white;"> </p> <p style="margin: 0cm; margin-bottom: .0001pt; text-align: right;" align="right"><span style="font-family: 'Segoe UI','sans-serif';"><a href="http://webbut.unitbv.ro/index.php/Series_III/about" target="_blank" rel="noopener">Read more</a></span></p> <p><strong>Open Access Statement</strong></p> <p>This is an open-access journal. All its content is freely available to the user to read, download, copy, distribute, print, search, or link to the full texts. </p> <p><strong>Old</strong><em><strong> </strong></em><strong>Site</strong></p> <p>Use this <a title="Series_II" href="http://webbut2.unitbv.ro/Bulletin/Series%20III/Series%20III.html" target="_blank" rel="noopener"><strong>LINK</strong> </a>to access the content of the old <strong><em>Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science</em></strong> journal site!</p>Transilvania University Pressen-USBulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science2810-2029A review of the book Diophantine m-tuples and Elliptic Curves, by Andrej Dujella
https://webbut.unitbv.ro/index.php/Series_III/article/view/7594
No abstractDiana Savin
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-15219220Automata concepts over game design process
https://webbut.unitbv.ro/index.php/Series_III/article/view/7588
Discrete states linked together by events can describe a series of classical video game scenarios. Therefore, the formal concept of automata seems appropriate for describing such games. However, as simple finite automata need to keep track of past events, they are less appropriate for complex designs. By contrast, push-down automata featuring a stack present better capabilities in this context. This paper discusses an enhanced version of the classic PAC-MAN game with push-down automata. The modular design of this game allows the extraction of discrete states, and its minimalist concept enables various approaches and new versions without sacrificing its original essence. Using push-down automata expanded the game with new features, allowing an enhanced game experience. The automaton controls all aspects of the game, ensuring a consistent gameplay. The presented project demonstrates the capabilities of push-down automata in the gaming industry and their potential in future game development projects. A. BaicoianuC. DobreM. LopataruI.C. Plajer
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1519120810.31926/but.mif.2024.4.66.1.14Minimal number of sensors for 3D coverage
https://webbut.unitbv.ro/index.php/Series_III/article/view/7589
<p>This paper presents some theoretical results on the smaller number <em>Nk(a, b, c)</em> of sensors to achieve k coverage for the <em>3D</em> rectangular area<em> [0, a] × [0, b] × [0, c]</em>. The first properties outline some theoretical results for the numbers <em>Nk(a, b, c)</em>, including symmetry, subadditivity, and monotony on each variable. We use then these results to establish some lower and upper bounds for <em>Nk(a, b, c)</em>. The main contribution proposes a result concerning the minimal density of sensors to achieve <em>k</em>-coverage.</p>Tatiana Tabirca
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1520921810.31926/but.mif.2024.4.66.1.15Updated Ostrowski inequalities over a spherical shell
https://webbut.unitbv.ro/index.php/Series_III/article/view/7564
Here we present general multivariate mixed Ostrowski type inequalities over spherical shells and balls. We cover the radial and not necessarily radial cases. The proofs derive by the use of some estimates coming out of some new trigonometric and hyperbolic Taylor’s formulae ([2]) and reducing the multivariate problem to a univariate one via general polar coordinates.George A. Anastassiou
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1511610.31926/but.mif.2024.4.66.1.1Characterization of solutions of certain class of linear and non-linear shift equations undershared values
https://webbut.unitbv.ro/index.php/Series_III/article/view/7565
In this paper we have considered the generalized form of Pielou Logistic Equation and Riccati Difference equation [6] and characterize the solution of that equation in terms of shared value problem. We have improved and extended the result of Li-Chen in [8].A. BanerjeeS. Bhattacharyya
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-15173410.31926/but.mif.2024.4.66.1.2Almost η-Ricci solitons on two classes of almost Kenmotsu manifolds
https://webbut.unitbv.ro/index.php/Series_III/article/view/7566
<p>The object of the present paper is to characterize two classes of almost Kenmotsu manifolds admitting almost <em>η</em>-Ricci solitons. In this context, we have shown that in a (<em>k, µ</em>) and (<em>k, µ</em>)' -almost Kenmotsu manifold admitting an almost <em>η</em>-Ricci soliton the curvature conditions (i) the manifold is Einstein, (ii) the manifold is Ricci symmetric (<em>∇S = 0</em>), (iii) the manifold is Ricci semisymmetric (<em>R · S = 0</em>) and (iv) the manifold is projective Ricci semisymmetric (<em>P · S = 0</em>) are equivalent. Also, we have shown that the curvature condition <em>Q · P</em> <em>= 0</em> in a (<em>k, µ</em>)-almost Kenmotsu manifold admitting an almost <em>η</em>-Ricci soliton holds if and only if the manifold is locally isometric to the hyperbolic space<em> H<sup>2n+1</sup>(−1)</em> and if a (<em>k, µ</em>)' -almost Kenmotsu manifold admitting an almost <em>η</em>-Ricci soliton satisfies the curvature condition <em>Q · R = 0</em>, then it is locally isometric to the Riemannian product <em>H <sup>n+1</sup>(−4) × </em>ℝ<sup>n</sup>.</p> <p><em><sup>n</sup></em>.</p>D. DeyP. Majhi
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-15355210.31926/but.mif.2024.4.66.1.3On the tangent bundles over F-Kahlerian manifolds
https://webbut.unitbv.ro/index.php/Series_III/article/view/7567
<p>The main purpose of the present paper is to study all forms of Riemannien curvatures and the harmonic Killing vector fields of a tangent bundle over an <em>F</em>−Kahlerian manifold endowed with a Berger type deformed Sasaki metric<em> gBS</em> .</p>N.E. DjaaA. Gezer
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-15537210.31926/but.mif.2024.4.66.1.4Pseudo-spectrum of non-Archimedean matrix pencils
https://webbut.unitbv.ro/index.php/Series_III/article/view/7568
<p>In this paper, we define the notions of the <em>C</em>-trace pseudo-spectrum, the <em>M</em>-determinant pseudo-spectrum and the pseudo-spectrum of non-Archimedean matrix pencils. Many results are proved about the <em>C</em>-trace pseudo-spectrum, the <em>M</em>-determinant pseudo-spectrum and the pseudo-spectrum of non-Archimedean matrix pencils. Examples are given to support our work.</p>Jawad Ettayb
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-15738610.31926/but.mif.2024.4.66.1.5On para-Sasakian manifold admitting Zamkovoy connection
https://webbut.unitbv.ro/index.php/Series_III/article/view/7571
<p>The purpose of the present paper is to study some properties of para-Sasakian manifold admitting Zamkovoy connection. We obtain some interesting result on para-Sasakian manifold. It is shown that <em>M</em>-projectively flat para-Sasakian manifold is<em> η</em>-Einstein manifold.</p>A. GoyalS. JainM.K. Pandey
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-158710010.31926/but.mif.2024.4.66.1.6On lacunary Δ^m-statistical convergence of triple sequence in intuitionisticfuzzy normed space
https://webbut.unitbv.ro/index.php/Series_III/article/view/7573
<p>In this study, we define lacunary <em>Δ<sup>m</sup></em>-statistical convergence in the framework of intuitionistic fuzzy normed spaces (<em>IFNS</em>) for triple sequences. We prove several results for lacunary <em>Δm</em>-statistical convergence of triple sequence in <em>IFNS</em>. We further established lacunary <em>Δ<sup>m</sup></em>-statistical Cauchy sequences and provided the Cauchy convergence criterion for this novel idea of convergence.</p>T. JalalA.H. Jan
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1510111610.31926/but.mif.2024.4.66.1.7Pascal's connection and fractions containing successive Padovan numbers in their decimal representation, reading left to right
https://webbut.unitbv.ro/index.php/Series_III/article/view/7575
In this paper, it is given a generalization of the relation of the repeating decimals which displays the successive terms of the Fibonacci sequence and Pascal’s rows. Additionally, two types of fractions that contain successive terms of the Padovan sequence in their decimal representation are given, by reading from left to right and giving numerical illustrations.E. IseniS. Rexhepi
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1511712210.31926/but.mif.2024.4.66.1.8An optimized Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms
https://webbut.unitbv.ro/index.php/Series_III/article/view/7577
In this paper, we present necessary and sufficient conditions for a Lorentz contact manifold to be a Lorentz Kenmotsu manifold. Moreover, we obtain the optimal Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms. Furthermore, the equality case of Chen inequality has been discussed.M.A. LoneP. Majeed
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1512313810.31926/but.mif.2024.4.66.1.9On the Mersenne and Mersenne-Lucas hybrid quaternions
https://webbut.unitbv.ro/index.php/Series_III/article/view/7579
In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions.E. OzkanM. Uysal
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1513914810.31926/but.mif.2024.4.66.1.10A new subclass of harmonic univalent functions associated with q-calculus
https://webbut.unitbv.ro/index.php/Series_III/article/view/7581
The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by applying q-calculus. Coefficient inequalities, extreme points, distortion bounds, covering results, convolution condition and convex combination are determined for this class. Finally, we discuss a class preserving integral operator for this class.S. PorwalM.K. Singh
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1514916210.31926/but.mif.2024.4.66.1.11Classifications of THA-surfaces in I^3
https://webbut.unitbv.ro/index.php/Series_III/article/view/7583
<p>In classical differential geometry, the problem of obtaining Gaussian and mean curvatures of a surface is one of the most important problems. A surface <em>M<sup>2</sup></em> in<em> I<sup>3</sup></em> is a <em>THA</em>-surface of first type if it can be parameterized by <em>r(s, t) = (s, t, Af(s + at)g(t) + B(f(s + at) + g(t)))</em>. A surface <em>M<sup>2</sup></em> in<em> I<sup>3</sup></em> is a THA- surface of second type if it can be parameterized by <em>r(s, t) = (s, Af(s + at)g(t) + B(f(s + at) + g(t)), t)</em>, where <em>A</em> and <em>B</em> are non-zero real numbers [16, 17, 18]. In this paper, we classify two types <em>THA</em>-surfaces in the 3-dimensional isotropic space <em>I<sup>3</sup></em> and study <em>THA</em>-surfaces with zero curvature in <em>I<sup>3</sup></em>.</p>Bendehiba Senoussi
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1516317410.31926/but.mif.2024.4.66.1.12Ricci solitons on α-Sasakian manifolds with quarter symmetric metric connection
https://webbut.unitbv.ro/index.php/Series_III/article/view/7587
<p>The main object of the present paper is to discuss about the quarter symmetric metric connection on α-Sasakian Manifold with respect to Ricci Soliton. In this paper, firstly, we discuss the quarter symmetric metric connection on <em>α</em>-Sasakian manifold. Secondly, we elaborate the results of quarter symmetric metric connection on <em>α</em>-Sasakian manifold which admits Ricci Soliton, and also flourish a non-trivial example of <em>α</em>-Sasakian manifold and validate some of our results. Thirdly, we classify certain curvature properties of the Ricci <em>α</em>-Sasakian manifold in regard to Quarter symmetric metric connection. Finally, we show Ricci Soliton on submanifold of <em>α-</em>Sasakian manifold in term of Levi-Civita and quarter symmetric metric connection.</p>A.N. SiddiquiM.D. SiddiqiVandana
Copyright (c) 2024 Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
2024-05-152024-05-1517519010.31926/but.mif.2024.4.66.1.13