Yuankui Ma
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View article: Probabilistic multi-Stirling numbers of the second kind associated with random variables
Probabilistic multi-Stirling numbers of the second kind associated with random variables Open
This paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials. The probabilistic multi-Stirling numbers of the second kind are d…
View article: Some Identities of Fully Degenerate r-Dowling Polynomials Arising from λ-Umbral Calculus
Some Identities of Fully Degenerate r-Dowling Polynomials Arising from λ-Umbral Calculus Open
This paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived. The relation…
View article: Probabilistic degenerate Bernstein polynomials
Probabilistic degenerate Bernstein polynomials Open
In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated ear…
View article: PROBABILISTIC FULLY DEGENERATE BELL POLYNOMIALS ASSOCIATED WITH RANDOM VARIABLES
PROBABILISTIC FULLY DEGENERATE BELL POLYNOMIALS ASSOCIATED WITH RANDOM VARIABLES Open
In this paper, we define probabilistic fully degenerate Bell polynomials associated with [Formula: see text], which are probabilistic versions of fully degenerate Bell polynomials. Meanwhile, we also derive some combinatorial identities an…
View article: Probabilistic poly-Bernoulli numbers
Probabilistic poly-Bernoulli numbers Open
Assume that is Y a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study probabilistic poly-Bernoulli numbers associated with Y, as probabilistic extensions of poly-Bern…
View article: Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
Probabilistic Degenerate Fubini Polynomials Associated with Random Variables Open
Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polyno…
View article: The reciprocity relations associated with degenerate unipoly-Dedekind DC sums
The reciprocity relations associated with degenerate unipoly-Dedekind DC sums Open
Based on the degenerate unipoly-Euler functions and type 2 degenerate unipoly-Euler functions, we first introduce the two types of degenerate unipoly-Dedekind type DC (Daehee-Changhee) sums. By using the definitions of unipoly functions, d…
View article: Series involving degenerate harmonic numbers and degenerate Stirling numbers
Series involving degenerate harmonic numbers and degenerate Stirling numbers Open
Recently, degenerate harmonic numbers and degenerate hyperharmonic numbers are introduced by Kim-Kim. In this paper, we study the series involving the degenerate harmonic numbers and degenerate Stirling numbers and investigate those proper…
View article: Probabilistic degenerate Fubini polynomials associated with random variables
Probabilistic degenerate Fubini polynomials associated with random variables Open
Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polyno…
View article: Research on Integration Management of Big Data Application Precision Portrait Marketing Resources based on Cloud and Edge Collaborative Computing
Research on Integration Management of Big Data Application Precision Portrait Marketing Resources based on Cloud and Edge Collaborative Computing Open
The application of big data accurate portrait marketing is a kind of big data technology and analysis methods, through the collection, collation, analysis of user behavior and preferences and other data, the user segmentation and portrait,…
View article: A study on a type of degenerate poly-Dedekind sums
A study on a type of degenerate poly-Dedekind sums Open
Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by re…
View article: Some Identities of Fully Degenerate Dowling Polynomials and Numbers
Some Identities of Fully Degenerate Dowling Polynomials and Numbers Open
Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerat…
View article: Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions Open
Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics. We construct a…
View article: Some identities on truncated polynomials associated with Lah-Bell polynomials
Some identities on truncated polynomials associated with Lah-Bell polynomials Open
Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we…
View article: Research on Aircraft Object Detection Based on Deep Learning
Research on Aircraft Object Detection Based on Deep Learning Open
At present, the hot topic in academia is how to extract information in remote sensing images quickly. According to the existing methods, to identify the aircraft targets in remote sensing images more effectively, the RSOD-Dataset annotated…
View article: Reciprocity of degenerate poly-Dedekind-type DC sums
Reciprocity of degenerate poly-Dedekind-type DC sums Open
Dedekind-type DC sums and their properties are defined in terms of Euler functions. Ma et al. recently introduced poly-Dedekind-type DC sums and demonstrated that they satisfy a reciprocity relation. In this paper, we introduce the degener…
View article: A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND
A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND Open
In this paper, we define the multi-Stirling numbers of the first kind by means of the multiple logarithm and as a generalization of the Stirling numbers of the first kind. Then we introduce two additional special numbers by using the multi…
View article: SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS
SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS Open
Recently, Kim–Kim introduced the [Formula: see text]-umbral calculus, in which the [Formula: see text]-Sheffer sequences occupy the central position. In this paper, we introduce the fully degenerate Bell and the fully degenerate Dowling po…
View article: A new type of degenerate poly-Euler polynomials
A new type of degenerate poly-Euler polynomials Open
Many mathematicians have been studying various degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This fo…
View article: Innovative Marketing of New Media Digitization--Research on Innovation and Entrepreneurship Education of College Students
Innovative Marketing of New Media Digitization--Research on Innovation and Entrepreneurship Education of College Students Open
With the development of society and economy, higher education has new requirements in the new era, under the background of the new media era, colleges and universities throughout the country have continuously strengthened innovation and en…
View article: Coarse structure of ultrametric spaces with applications
Coarse structure of ultrametric spaces with applications Open
We show how to decompose all separable ultrametric spaces into a "Lego" combinations of scaled versions of full simplices. To do this we introduce metric resolutions of large scale metric spaces, which describe how a space can be broken up…
View article: The Limitation and Optimization of Maslow's Hierarchy of Needs Theory in Enterprises’ Application
The Limitation and Optimization of Maslow's Hierarchy of Needs Theory in Enterprises’ Application Open
Maslow's Hierarchy of Needs Theory holds that the five needs “physiological,” “safety,” “belonging and love,” “esteem,” and “self-actualization”, constitutes a series of hierarchical needs of human beings. More and more companies apply thi…
View article: A study on q-analogues of Catalan-Daehee numbers and polynomials
A study on q-analogues of Catalan-Daehee numbers and polynomials Open
Catalan-Daehee numbers and polynomials, generating functions of which can be expressed as p-adic Volkenborn integrals on Zp, were studied previously. The aim of this paper is to introduce qanalogues of the Catalan-Daehee numbers and polyno…
View article: Universal spaces for asymptotic dimension zero
Universal spaces for asymptotic dimension zero Open
Dranishnikov and Zarichnyi constructed a universal space in the coarse category of spaces of bounded geometry of asymptotic dimension $0$. In this paper we construct universal spaces in the coarse category of separable (respectively, prope…
View article: Ends of large scale groups
Ends of large scale groups Open
The aim of this paper is to unify the theory of ends of finitely generated groups with that of ends of locally compact, metrizable and connected topological groups. In both theories one proves that, if the number of ends is finite, then it…
View article: Some identities of fully degenerate Dowling and fully degenerate Bell polynomials arising from lambda-umbral calculus
Some identities of fully degenerate Dowling and fully degenerate Bell polynomials arising from lambda-umbral calculus Open
Recently, Kim-Kim introduced the lambda-umbral calculus, in which the lambda-Sheffer sequences occupy the central position. In this paper, we introduce the fully degenerate Bell and the fully degenerate Dowling polynomials, and investigate…
View article: Study on q-analogues of Catala-Daehee numbers and polynomials
Study on q-analogues of Catala-Daehee numbers and polynomials Open
Catalan-Daehee numbers and polynomials, generating functions of which can be expressed as p-adic Volkenborn integrals on Zp, were studied previously. The aim of this paper is to introduce q-analogues of the catalan-Daehee numbers and polyn…
View article: A Note on Cube-Full Numbers in Arithmetic Progression
A Note on Cube-Full Numbers in Arithmetic Progression Open
We obtain an asymptotic formula for the cube-full numbers in an arithmetic progression n ≡ l mod q , where q , l = 1 . By extending the construction derived from Dirichlet’s hyperbola method and relying on Kloosterman-type ex…
View article: Coarse Freundenthal compactification and ends of groups
Coarse Freundenthal compactification and ends of groups Open
A coarse compactification of a proper metric space $X$ is any compactification of $X$ that is dominated by its Higson compactification. In this paper we describe the maximal coarse compactification of $X$ whose corona is of dimension $0$. …
View article: Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions
Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions Open
The classical Dedekind sums appear in the transformation behavior of the logarithm of the Dedekind eta-function under substitutions from the modular group. The Dedekind sums and their generalizations are defined in terms of Bernoulli funct…