A5033432537- Approximation Theory and Sequence Spaces
- Bayesian Methods and Mixture Models
- Data Management and Algorithms
- Analytic Number Theory Research
- Probability and Risk Models
- Mathematical functions and polynomials
- Statistical Distribution Estimation and Applications
- Advanced Mathematical Identities
- Advanced Numerical Analysis Techniques
Xi'an Technological University
2024
Recently, many authors have studied degenerate Bernoulli and Euler polynomials. Let Y be a random variable whose moment generating function exists in neighbourhood of the origin. The aim this paper is to introduce study probabilistic extension polynomials, namely polynomials associated with Y. Also, we intoduce r-Stirling numbers second two Fubini We obtain some properties, explicit expressions, recurrence relations certain identities for those numbers. As special cases Y, treat gamma...
Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. The aim this paper is to study probabilistic Lah numbers associated with and Lah-Bell polynomials Y, as versions polynomials, respectively. We derive properties, explicit expressions, recurrence relations certain identities for those polynomials. In addition, we treat special cases that Poisson parameter {\alpha} > 0 Bernoulli probability success p.
In recent years, both degenerate versions and probabilistic extensions of many special numbers polynomials have been explored. For instance, Bernstein were investigated earlier. Assume that Y is a random variable whose moment generating function exists in neighborhood the origin. The aim this paper to study associated with which are extension version $Y$. We derive several explicit expressions certain related identities for those polynomials. addition, we treat cases Poisson variable,...