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Vol.31 No.2

Tanmay Biswas(Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.- Krishnagar Dist-Nadia, PIN- 741101, West Bengal, In) ; Chinmay Biswas(Nabadwip Vidyasagar College) pp.119-130 https://doi.org/10.7468/jksmeb.2024.31.2.119
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Abstract

In this paper we discuss on the growth properties of composite entire and meromorphic functions on the basis of generalized (α, β, γ) order and generalized (α, β, γ) type comparing to their corresponding left and right factors.

Mohit Soni(Government Holkar (Model, Autonomous) Science College) ; Rajesh Kumar Sharma(J.N.S. Government PG College) ; Shivram Sharma(Government Postgraduate College) pp.131-158 https://doi.org/10.7468/jksmeb.2024.31.2.131
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Abstract

This study investigates the impact of precautionary measures, such as isolating exposed individuals, wearing masks, and maintaining physical distance, on preventing infectious disease. A deterministic SEIQHRV epidemic model is employed for this purpose. The model’s positivity, boundedness, disease-free, and endemic equilibrium points are identified. A sensitivity test assesses the impact of preventive measures on infected classes. Results show that a basic reproduction number less than unity drives disease eradiction, while a higher unity value encourages the adoption of preventive measures.

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Abstract

We continue the investigations in [7] extending the Bruhat order on n × n alternating sign matrices to a more general setting. We show that the resulting partially ordered set is a lattice and also investigate its rank.

Sachin Mane(Shivaji University Kolhapur) ; Bharat Bhosale(Sambhajirao Kadam College) ; Shubham Shedge(Rajarshi Chhatrapati Shahu College) pp.179-187 https://doi.org/10.7468/jksmeb.2024.31.2.179
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Abstract

In image and signal processing, the wavelet transform is frequently employed. However, it has the drawback of having weak directionality, which has limited its use in many applications. A recent addition to the wavelet transform, the curvelet transform attempts to address crossing phenomena that occur along curved edges in 2-D images. As an extension of the wavelet transform, we discuss various curvelet transform features in this paper. There are numerous uses for the curvelet and wavelet transforms in image and signal processing.

Jinhee Yi ; Ji Won Ahn ; Gang Hun Lee ; Paek Dae Hyun pp.189-200 https://doi.org/10.7468/jksmeb.2024.31.2.189
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Abstract

We derive modular equations of degree 3 to find corresponding thetafunction identities. We use them to find some new evaluations of G(e^-π√n ) and G(e^-π√n ) for n= {25} over {3 BULLET 4 ^{m-1}} and {4^1-m} over {3 BULLET 25}, where m = 0, 1, 2.

Gagandeep Singh(Khalsa College) ; Gurcharanjit Singh(G.N.D.U. College) ; Navyodh Singh(Khalsa College) ; Navjeet Singh(Khalsa College) pp.201-216 https://doi.org/10.7468/jksmeb.2024.31.2.201
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Abstract

The aim of this paper is to study a new and unified class R {{alpha}} atop {{Cosh}} of analytic functions associated with cosine hyperbolic function in the open unit disc E = {z ∈ ℂ : |z| < 1}. Some interesting properties of this class such as initial coefficient bounds, Fekete-Szegö inequality, second Hankel determinant, Zalcman inequality and third Hankel determinant have been established. Furthermore, these results have also been studied for two-fold and three-fold symmetric functions.

Ghorban Khalilzadeh Ranjbar(Bu-Ali Sina University) pp.217-233 https://doi.org/10.7468/jksmeb.2024.31.2.217
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Abstract

In this paper we study a tripled quasi-metric with new fixed point theorems around β-implicit contractions in tripled quasi-metric spaces. We give an example on a solution of a integral equations.

Jineesh Thomas(St. Thomas College Palai) ; N.M.M. Namboothiri(Government College Shanthanpara) ; T.C.E. Nambudiri(Government Brennen College Kannu) pp.235-249 https://doi.org/10.7468/jksmeb.2024.31.2.235
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Abstract

We obtain a structured class of frames in separable Hilbert spaces which are generalizations of Gabor frames in L2(ℝ) in their construction aspects. For this, the concept of Gabor type unitary systems in [13] is generalized by considering a system of invertible operators in place of unitary systems. Pseudo Gabor like frames and pseudo Gabor frames are introduced and the corresponding frame operators are characterized.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics