In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and ...γ−duals of the newly created spaces.
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Формите на числителните редни имена не са били обект на специално внимание. Затова е нужно да се обърне специално внимание на дублетите при тях, които се срещат вече повече от четиресет години в ...книжовната реч.
Recently, Srivastava and Pintér 1 investigated several interesting properties and relationships involving the classical as well as the generalized (or higher-order) Bernoulli and Euler polynomials. ...They also showed (among other things) that the main relationship (proven earlier by Cheon 2) can easily be put in a much more general setting. The main object of the present sequel to these earlier works is to derive several general properties and relationships involving the Apostol-Bernoulli and Apostol-Euler polynomials. Some of these general results can indeed be suitably specialized in order to deduce the corresponding properties and relationships involving the (generalized) Bernoulli and (generalized) Euler polynomials. Other relationships associated with the Stirling numbers of the second kind are also considered.
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This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, ...methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
A molecular model of the Pc(4457) and Pc(4440) LHCb states is proposed. The model relies on channels coupled by long-range pion-exchange dynamics with features that depend crucially on the novel ...addition of the Λc(2595)D¯ channel. A striking prediction of the model is the unusual combination of quantum numbers JP(4457)=1/2+ and JP(4440)=3/2−. Unlike in other models, a simultaneous description of both states is achieved without introducing additional short-range interactions. The model also gives a natural explanation for the relative widths of the states. We show that the usual molecular scenarios cannot explain the production rate of Pc states in Λb decays and that this can be resolved by including Λc(2595)D¯ and related channels. Experimental tests and other states are discussed in the conclusions.
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This book is for those interested in number systems, abstract algebra, and analysis. It provides an understanding of negative and fractional numbers with theoretical background and explains rationale ...of irrational and complex numbers in an easy to understand format.This book covers the fundamentals, proof of theorems, examples, definitions, and concepts. It explains the theory in an easy and understandable manner and offers problems for understanding and extensions of concept are included. The book provides concepts in other fields and includes an understanding of handling of numbers by computers. Research scholars and students working in the fields of engineering, science, and different branches of mathematics will find this book of interest, as it provides the subject in a clear and concise way.
In previous works, we proved that under a certain assumption, the set of rational points over a number field on the Shimura curve of Γ 0 ( p ) -type consists of at most elliptic points for every ...sufficiently large prime number p. In this article, we relax the assumption of the previous result and prove the non-existence of elliptic points under a mild extra assumption.
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