Turkic World Mathematical Society Journal of Applied and Engineering MathematicsTurkic World Mathematical Society Journal of Applied and Engineering Mathematics Dergisine ait koleksiyonları listeler.https://hdl.handle.net/11729/23872024-03-28T12:26:51Z2024-03-28T12:26:51ZOn dimension of some finite algebraic graphs of finite ringsTaleshani, Mona GholamniaLaskukalayeh, Mojgan TaghidoustAbbasi, Ahmadhttps://hdl.handle.net/11729/58812024-01-08T20:02:54Z2024-01-01T00:00:00ZOn dimension of some finite algebraic graphs of finite rings
Taleshani, Mona Gholamnia; Laskukalayeh, Mojgan Taghidoust; Abbasi, Ahmad
Suppose that Γπ (Zp1p2···pα ) is a graph with the vertex set of nonzero zerodivisors of the finite ring Zp1p2...pα , where α > 1, and x − y is an edge if and only if x and y are π-prime, where π = {p1, p2, . . . , pα} is a set of odd prime numbers and a and b are π-prime if either (a, b) = 1 or (a, b) = p, p /∈ π. In this paper we study dimension, edge metric dimension and fraction dimension of the graph.
2024-01-01T00:00:00ZNew notions on ideal convergence of triple sequences in neutrosophic normed spacesGranados Ortiz, Carlos Andr´esChoudhury, Chiranjibhttps://hdl.handle.net/11729/58802024-01-08T19:55:12Z2024-01-01T00:00:00ZNew notions on ideal convergence of triple sequences in neutrosophic normed spaces
Granados Ortiz, Carlos Andr´es; Choudhury, Chiranjib
The usual convergence of sequences has many generalizations with the aim of providing deeper insights into the summability theory. In this paper, following a very recent and new approach, we introduce the notion of I3 and I*3−convergence of triple sequences in neutrosophic normed spaces mainly as a generalization of statistical convergence of triple sequences. We investigate a few fundamental properties and study the relationship between the two notions. We also introduce and investigate the concept of I3 and I*3−Cauchy sequence of triple sequences and show that the condition (AP3) plays a crucial role to study the interrelationship between them.
2024-01-01T00:00:00ZCertain expansion formulae involving incomplete I-functionsPurohit, Sunil DuttSuthar, Daya LalAl-Jarrah, AliVyas, Vijay KumarNisar, Kottakkaran Sooppyhttps://hdl.handle.net/11729/58792024-01-08T19:45:32Z2024-01-01T00:00:00ZCertain expansion formulae involving incomplete I-functions
Purohit, Sunil Dutt; Suthar, Daya Lal; Al-Jarrah, Ali; Vyas, Vijay Kumar; Nisar, Kottakkaran Sooppy
The aim of this paper is to derive the expansion formulae for the incomplete I-function. Furthermore, their special cases are illustrated in terms of various types of special functions (incomplete I-function, incomplete H-function, and incomplete H-function) that are common in nature and very useful for further analysis.
2024-01-01T00:00:00ZHypergeometric function representation of the roots of a certain cubic equationQureshi, Mohammad IdrisParis, Richard BruceMajid, JavidBhat, Aarif Hussainhttps://hdl.handle.net/11729/58782024-01-08T19:34:49Z2024-01-01T00:00:00ZHypergeometric function representation of the roots of a certain cubic equation
Qureshi, Mohammad Idris; Paris, Richard Bruce; Majid, Javid; Bhat, Aarif Hussain
The aim in this note is to obtain new hypergeometric forms for the functions (√z − 1 − √z) b ± (√z − 1 − √z)−b, (√z − 1 + √z)b ± (√z − 1 + √z)−b, where b is an arbitrary parameter, in terms of Gauss hypergeometric functions. An application of these results (when b =1/3) is made to obtain the hypergeometric form of the roots of the cubic equation r3 − r + 2/3√2/3 = 0. This complements the entry in the compendium of Prudnikov et al. on page 472, entry (68) of the table, where only the middle root (either real or purely imaginary) is given in hypergeometric form.
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